From 72cad2e388026dd37d6cf710ea4de409a54d376f Mon Sep 17 00:00:00 2001
From: Xulia <Julia.Docampo-Sanchez@uea.ac.uk>
Date: Tue, 1 Aug 2017 16:14:42 +0100
Subject: [PATCH] fixed to work with latest nektar version
---
library/CMakeLists.txt | 2 +-
library/LSIAC/BSplines.h | 96 +
library/LSIAC/CMakeLists.txt | 77 +
library/LSIAC/CMakeLists.txt.user | 63 +
library/LSIAC/CentralBSplines.cpp | 55 +
library/LSIAC/CentralBSplines.h | 46 +
library/LSIAC/GeneralBSplines.cpp | 160 +
library/LSIAC/GeneralBSplines.h | 64 +
library/LSIAC/HandleMesh.h | 31 +
library/LSIAC/HandleNekMesh.cpp | 413 +
library/LSIAC/HandleNekMesh.h | 309 +
library/LSIAC/HandleNekMesh1D.cpp | 186 +
library/LSIAC/HandleNekMesh1D.h | 39 +
library/LSIAC/HandleNekMesh2D.cpp | 159 +
library/LSIAC/HandleNekMesh2D.h | 56 +
library/LSIAC/HandleNekMesh3D.cpp | 444 +
library/LSIAC/HandleNekMesh3D.h | 94 +
library/LSIAC/LSIACPostProcessor.cpp | 171 +
library/LSIAC/LSIACPostProcessor.h | 60 +
library/LSIAC/LocDifferentiation.cpp | 182 +
library/LSIAC/LocDifferentiation.h | 21 +
library/LSIAC/OneSidedKernel.cpp | 108 +
library/LSIAC/OneSidedKernel.h | 47 +
library/LSIAC/SIACFilter.cpp | 360 +
library/LSIAC/SIACFilter.h | 114 +
library/LSIAC/SIACFilter1D.cpp | 51 +
library/LSIAC/SIACFilter1D.h | 33 +
library/LSIAC/SIACFilter2D.cpp | 112 +
library/LSIAC/SIACFilter2D.h | 54 +
library/LSIAC/SIACFilter3D.cpp | 125 +
library/LSIAC/SIACFilter3D.h | 75 +
library/LSIAC/SIACKernel.cpp | 249 +
library/LSIAC/SIACKernel.h | 112 +
library/LSIAC/SIACenumerators.h | 124 +
library/LSIAC/SIACpostprocessor.h | 25 +
library/LSIAC/SmoothieSIAC_debug.cpp | 385 +
library/LSIAC/SymmetricKernel.cpp | 125 +
library/LSIAC/SymmetricKernel.h | 42 +
library/LSIAC/fieldDerivatives.cpp | 80 +
library/LSIAC/mk2.txt | 68 +
library/LSIAC/ppio.cpp | 76 +
library/LibUtilities/LinearAlgebra/Lapack.hpp | 3 +
utilities/CMakeLists.txt | 3 +-
utilities/LSIACutil/CMakeLists.txt | 47 +
.../adrsolver_conditions_p1_40.xml | 59 +
.../adrsolver_conditions_p2_40.xml | 59 +
utilities/LSIACutil/NektarFiles/p1_40x40.fld | 16 +
utilities/LSIACutil/NektarFiles/p1_40x40.xml | 6590 +++++++++++++
.../NektarFiles/p1_40x40_cropped_20x20.xml | 1711 ++++
utilities/LSIACutil/NektarFiles/p2_40x40.fld | 16 +
utilities/LSIACutil/NektarFiles/p2_40x40.xml | 6590 +++++++++++++
.../NektarFiles/p2_40x40_cropped_20x20.xml | 1711 ++++
utilities/LSIACutil/Tests/2Dtrimesh.fld | 13 +
utilities/LSIACutil/Tests/2Dtrimesh.vtu | 3245 +++++++
utilities/LSIACutil/Tests/2Dtrimesh.xml | 326 +
utilities/LSIACutil/Tests/2DtrimeshNU.fld | 13 +
utilities/LSIACutil/Tests/2DtrimeshNU.vtu | 8573 +++++++++++++++++
utilities/LSIACutil/Tests/2DtrimeshNU.xml | 1103 +++
utilities/LSIACutil/Tests/2DtrimeshNU.xml~ | 1107 +++
utilities/LSIACutil/Tests/DG.dat | 3024 ++++++
utilities/LSIACutil/Tests/DG.fld | 13 +
utilities/LSIACutil/Tests/DG_error.fld | 13 +
utilities/LSIACutil/Tests/LOG.dat | 27 +
utilities/LSIACutil/Tests/PP.dat | 3024 ++++++
utilities/LSIACutil/Tests/PP.fld | 13 +
utilities/LSIACutil/Tests/PP_error.fld | 13 +
utilities/LSIACutil/Tests/gmon.out | Bin 0 -> 36755 bytes
utilities/LSIACutil/Tests/lsiac_filtering.tst | 15 +
utilities/LSIACutil/Tests/test2.fld | 13 +
utilities/LSIACutil/Tests/test2.vtu | 3461 +++++++
utilities/LSIACutil/Tests/test2.xml | 325 +
utilities/LSIACutil/l2_linf_errors.cpp | 205 +
utilities/LSIACutil/lsiac_filtering.cpp | 286 +
utilities/LSIACutil/modestest.cpp | 51 +
74 files changed, 46759 insertions(+), 2 deletions(-)
create mode 100644 library/LSIAC/BSplines.h
create mode 100644 library/LSIAC/CMakeLists.txt
create mode 100644 library/LSIAC/CMakeLists.txt.user
create mode 100644 library/LSIAC/CentralBSplines.cpp
create mode 100644 library/LSIAC/CentralBSplines.h
create mode 100644 library/LSIAC/GeneralBSplines.cpp
create mode 100644 library/LSIAC/GeneralBSplines.h
create mode 100644 library/LSIAC/HandleMesh.h
create mode 100644 library/LSIAC/HandleNekMesh.cpp
create mode 100644 library/LSIAC/HandleNekMesh.h
create mode 100644 library/LSIAC/HandleNekMesh1D.cpp
create mode 100644 library/LSIAC/HandleNekMesh1D.h
create mode 100644 library/LSIAC/HandleNekMesh2D.cpp
create mode 100644 library/LSIAC/HandleNekMesh2D.h
create mode 100644 library/LSIAC/HandleNekMesh3D.cpp
create mode 100644 library/LSIAC/HandleNekMesh3D.h
create mode 100644 library/LSIAC/LSIACPostProcessor.cpp
create mode 100644 library/LSIAC/LSIACPostProcessor.h
create mode 100644 library/LSIAC/LocDifferentiation.cpp
create mode 100644 library/LSIAC/LocDifferentiation.h
create mode 100644 library/LSIAC/OneSidedKernel.cpp
create mode 100644 library/LSIAC/OneSidedKernel.h
create mode 100644 library/LSIAC/SIACFilter.cpp
create mode 100644 library/LSIAC/SIACFilter.h
create mode 100644 library/LSIAC/SIACFilter1D.cpp
create mode 100644 library/LSIAC/SIACFilter1D.h
create mode 100644 library/LSIAC/SIACFilter2D.cpp
create mode 100644 library/LSIAC/SIACFilter2D.h
create mode 100644 library/LSIAC/SIACFilter3D.cpp
create mode 100644 library/LSIAC/SIACFilter3D.h
create mode 100644 library/LSIAC/SIACKernel.cpp
create mode 100644 library/LSIAC/SIACKernel.h
create mode 100644 library/LSIAC/SIACenumerators.h
create mode 100644 library/LSIAC/SIACpostprocessor.h
create mode 100644 library/LSIAC/SmoothieSIAC_debug.cpp
create mode 100644 library/LSIAC/SymmetricKernel.cpp
create mode 100644 library/LSIAC/SymmetricKernel.h
create mode 100644 library/LSIAC/fieldDerivatives.cpp
create mode 100644 library/LSIAC/mk2.txt
create mode 100644 library/LSIAC/ppio.cpp
create mode 100644 utilities/LSIACutil/CMakeLists.txt
create mode 100644 utilities/LSIACutil/NektarFiles/adrsolver_conditions_p1_40.xml
create mode 100644 utilities/LSIACutil/NektarFiles/adrsolver_conditions_p2_40.xml
create mode 100644 utilities/LSIACutil/NektarFiles/p1_40x40.fld
create mode 100644 utilities/LSIACutil/NektarFiles/p1_40x40.xml
create mode 100755 utilities/LSIACutil/NektarFiles/p1_40x40_cropped_20x20.xml
create mode 100644 utilities/LSIACutil/NektarFiles/p2_40x40.fld
create mode 100644 utilities/LSIACutil/NektarFiles/p2_40x40.xml
create mode 100755 utilities/LSIACutil/NektarFiles/p2_40x40_cropped_20x20.xml
create mode 100644 utilities/LSIACutil/Tests/2Dtrimesh.fld
create mode 100644 utilities/LSIACutil/Tests/2Dtrimesh.vtu
create mode 100644 utilities/LSIACutil/Tests/2Dtrimesh.xml
create mode 100644 utilities/LSIACutil/Tests/2DtrimeshNU.fld
create mode 100644 utilities/LSIACutil/Tests/2DtrimeshNU.vtu
create mode 100644 utilities/LSIACutil/Tests/2DtrimeshNU.xml
create mode 100644 utilities/LSIACutil/Tests/2DtrimeshNU.xml~
create mode 100644 utilities/LSIACutil/Tests/DG.dat
create mode 100644 utilities/LSIACutil/Tests/DG.fld
create mode 100644 utilities/LSIACutil/Tests/DG_error.fld
create mode 100644 utilities/LSIACutil/Tests/LOG.dat
create mode 100644 utilities/LSIACutil/Tests/PP.dat
create mode 100644 utilities/LSIACutil/Tests/PP.fld
create mode 100644 utilities/LSIACutil/Tests/PP_error.fld
create mode 100644 utilities/LSIACutil/Tests/gmon.out
create mode 100644 utilities/LSIACutil/Tests/lsiac_filtering.tst
create mode 100644 utilities/LSIACutil/Tests/test2.fld
create mode 100644 utilities/LSIACutil/Tests/test2.vtu
create mode 100644 utilities/LSIACutil/Tests/test2.xml
create mode 100644 utilities/LSIACutil/l2_linf_errors.cpp
create mode 100644 utilities/LSIACutil/lsiac_filtering.cpp
create mode 100644 utilities/LSIACutil/modestest.cpp
diff --git a/library/CMakeLists.txt b/library/CMakeLists.txt
index 0622db07de..ff9e9d6207 100644
--- a/library/CMakeLists.txt
+++ b/library/CMakeLists.txt
@@ -1,6 +1,6 @@
# Main library sub-directories, required by all of Nektar++.
SUBDIRS(GlobalMapping LibUtilities LocalRegions Collections MultiRegions
- SpatialDomains StdRegions)
+ SpatialDomains StdRegions LSIAC)
INCLUDE_DIRECTORIES(${CMAKE_SOURCE_DIR}/library)
IF (NEKTAR_BUILD_UNIT_TESTS)
diff --git a/library/LSIAC/BSplines.h b/library/LSIAC/BSplines.h
new file mode 100644
index 0000000000..d954c6bd8c
--- /dev/null
+++ b/library/LSIAC/BSplines.h
@@ -0,0 +1,96 @@
+#ifndef LSIAC_BSPLINES_H
+#define LSIAC_BSPLINES_H
+
+#include <iostream>
+#include <vector>
+#include "LSIACPostProcessor.h"
+using namespace std;
+
+/// This class is the base class for all the B-Splines.
+/** This class is useful when dynmaically creating object of its subclasses.
+ All the BSplines need by the fitler would be subclasses of this filter.
+*/
+
+namespace Nektar
+{
+namespace LSIAC
+{
+
+
+class BSplines: public LSIACPostProcessor{
+ protected:
+ public:
+};
+/*
+class GeneralBSplines: public BSplines{
+ // data
+ public:
+ vector<double>* m_knotVector;
+ int m_Order;
+
+ // functions
+ public:
+ GeneralBSplines(const vector<double> knots,const int order)
+ {
+ m_knotVector = new vector<double>(0);
+ SetKnotVector(knots);
+ SetOrder(order);
+ }
+
+ bool SetKnotVector(vector<double> knots)
+ {
+ this->m_knotVector->clear();
+ this->m_knotVector->resize(knots.size());
+ this->m_knotVector->assign(knots.begin(),knots.end());
+ return true;
+ }
+
+ bool GetKnotVector ( vector<double> &knots)
+ {
+ knots = *m_knotVector;
+ return true; }
+
+ bool SetOrder(int order)
+ {
+ m_Order = order;
+ return true; }
+
+ int GetOrder() const
+ {return m_Order; }
+
+ bool EvaluateBSplines(const vector<double> t_pos,const vector<double> knots,
+ vector<double> &t_values)
+ {return true; }
+
+ bool EvaluateBSplines (const vector<double> t_pos, vector<double> &t_values)const
+ {return true; }
+
+};
+
+int main()
+{
+ cout << " Enterend into main functions " << endl;
+ double mydoubles[] = { 0.0, 1.0, 2.0, 3.0, 4.0};
+ vector<double> knots(mydoubles, mydoubles + sizeof(mydoubles)/sizeof(double));
+ GeneralBSplines gsp(knots, 3);
+ cout << gsp.m_knotVector->at(3)<< endl;
+ cout << knots.size()<< endl;
+ vector<double> *knotsout;
+ gsp.GetKnotVector(*knotsout);
+ knotsout->at(3) = 10;
+ cout << knotsout->size()<< endl;
+ cout << knotsout->at(0)<< endl;
+ cout << knotsout->at(1)<< endl;
+ cout << knotsout->at(2)<< endl;
+ cout << knotsout->at(3)<< endl;
+ cout << gsp.m_knotVector->at(3)<< endl;
+
+ return 1;
+}
+*/
+
+}
+}
+
+
+#endif
diff --git a/library/LSIAC/CMakeLists.txt b/library/LSIAC/CMakeLists.txt
new file mode 100644
index 0000000000..9231101345
--- /dev/null
+++ b/library/LSIAC/CMakeLists.txt
@@ -0,0 +1,77 @@
+SET(LSIAC_SOURCES
+ fieldDerivatives.cpp
+ LSIACPostProcessor.cpp
+ GeneralBSplines.cpp
+ CentralBSplines.cpp
+ SIACKernel.cpp
+ SymmetricKernel.cpp
+ OneSidedKernel.cpp
+ HandleNekMesh.cpp
+ HandleNekMesh1D.cpp
+ HandleNekMesh2D.cpp
+ HandleNekMesh3D.cpp
+ SIACFilter.cpp
+ SIACFilter1D.cpp
+ SIACFilter2D.cpp
+ SIACFilter3D.cpp
+ ppio.cpp
+)
+
+SET(LSIAC_HEADERS
+ LSIACPostProcessor.h
+ SIACenumerators.h
+ GeneralBSplines.h
+ CentralBSplines.h
+ SIACKernel.h
+ SymmetricKernel.h
+ OneSidedKernel.h
+ HandleMesh.h
+ HandleNekMesh.h
+ HandleNekMesh1D.h
+ HandleNekMesh2D.h
+ HandleNekMesh3D.h
+ SIACpostprocessor.h
+ SIACFilter.h
+ SIACFilter1D.h
+ SIACFilter2D.h
+ SIACFilter3D.h
+)
+
+
+ADD_DEFINITIONS(-DLSIAC_EXPORTS)
+
+ADD_NEKTAR_LIBRARY(LSIAC
+SOURCES ${LSIAC_SOURCES}
+HEADERS ${LSIAC_HEADERS}
+SUMMARY "LSIAC Filtering library"
+DESCRIPTION "This library implements the LSIAC postprocessor for 2D and 3D fields. Contains the kernel class aswell as the mesh interaction functions."
+)
+
+
+
+#TARGET_LINK_LIBRARIES(LSIAC LINK_PUBLIC Collections)
+
+INSTALL(DIRECTORY ./ DESTINATION ${NEKTAR_INCLUDE_DIR}/LSIAC COMPONENT dev FILES_MATCHING PATTERN "*.h" PATTERN "*.hpp")
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
diff --git a/library/LSIAC/CMakeLists.txt.user b/library/LSIAC/CMakeLists.txt.user
new file mode 100644
index 0000000000..1c5821ec6a
--- /dev/null
+++ b/library/LSIAC/CMakeLists.txt.user
@@ -0,0 +1,63 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<!DOCTYPE QtCreatorProject>
+<!-- Written by QtCreator 3.0.1, 2017-07-05T11:26:18. -->
+<qtcreator>
+ <data>
+ <variable>ProjectExplorer.Project.ActiveTarget</variable>
+ <value type="int">-1</value>
+ </data>
+ <data>
+ <variable>ProjectExplorer.Project.EditorSettings</variable>
+ <valuemap type="QVariantMap">
+ <value type="bool" key="EditorConfiguration.AutoIndent">true</value>
+ <value type="bool" key="EditorConfiguration.AutoSpacesForTabs">false</value>
+ <value type="bool" key="EditorConfiguration.CamelCaseNavigation">true</value>
+ <valuemap type="QVariantMap" key="EditorConfiguration.CodeStyle.0">
+ <value type="QString" key="language">Cpp</value>
+ <valuemap type="QVariantMap" key="value">
+ <value type="QByteArray" key="CurrentPreferences">CppGlobal</value>
+ </valuemap>
+ </valuemap>
+ <valuemap type="QVariantMap" key="EditorConfiguration.CodeStyle.1">
+ <value type="QString" key="language">QmlJS</value>
+ <valuemap type="QVariantMap" key="value">
+ <value type="QByteArray" key="CurrentPreferences">QmlJSGlobal</value>
+ </valuemap>
+ </valuemap>
+ <value type="int" key="EditorConfiguration.CodeStyle.Count">2</value>
+ <value type="QByteArray" key="EditorConfiguration.Codec">UTF-8</value>
+ <value type="bool" key="EditorConfiguration.ConstrainTooltips">false</value>
+ <value type="int" key="EditorConfiguration.IndentSize">4</value>
+ <value type="bool" key="EditorConfiguration.KeyboardTooltips">false</value>
+ <value type="bool" key="EditorConfiguration.MouseNavigation">true</value>
+ <value type="int" key="EditorConfiguration.PaddingMode">1</value>
+ <value type="bool" key="EditorConfiguration.ScrollWheelZooming">true</value>
+ <value type="int" key="EditorConfiguration.SmartBackspaceBehavior">1</value>
+ <value type="bool" key="EditorConfiguration.SpacesForTabs">true</value>
+ <value type="int" key="EditorConfiguration.TabKeyBehavior">2</value>
+ <value type="int" key="EditorConfiguration.TabSize">8</value>
+ <value type="bool" key="EditorConfiguration.UseGlobal">true</value>
+ <value type="int" key="EditorConfiguration.Utf8BomBehavior">1</value>
+ <value type="bool" key="EditorConfiguration.addFinalNewLine">true</value>
+ <value type="bool" key="EditorConfiguration.cleanIndentation">true</value>
+ <value type="bool" key="EditorConfiguration.cleanWhitespace">true</value>
+ <value type="bool" key="EditorConfiguration.inEntireDocument">false</value>
+ </valuemap>
+ </data>
+ <data>
+ <variable>ProjectExplorer.Project.PluginSettings</variable>
+ <valuemap type="QVariantMap"/>
+ </data>
+ <data>
+ <variable>ProjectExplorer.Project.TargetCount</variable>
+ <value type="int">0</value>
+ </data>
+ <data>
+ <variable>ProjectExplorer.Project.Updater.EnvironmentId</variable>
+ <value type="QByteArray">{a578d475-18b0-40f9-843f-5eee755f73a3}</value>
+ </data>
+ <data>
+ <variable>ProjectExplorer.Project.Updater.FileVersion</variable>
+ <value type="int">15</value>
+ </data>
+</qtcreator>
diff --git a/library/LSIAC/CentralBSplines.cpp b/library/LSIAC/CentralBSplines.cpp
new file mode 100644
index 0000000000..94ede8a76c
--- /dev/null
+++ b/library/LSIAC/CentralBSplines.cpp
@@ -0,0 +1,55 @@
+#include "CentralBSplines.h"
+
+namespace Nektar
+{
+ namespace LSIAC
+ {
+ CentralBSplines::CentralBSplines(int Order, NekDouble Shift, NekDouble scale)
+ : GeneralBSplines(Order), m_shift(Shift), m_scale(scale)
+ {
+ Array<OneD,NekDouble> knots(Order+1,0.0);
+ for (int i =0; i < Order+1;i++)
+ {
+ knots[i] = -Order/2.0 + i;
+ }
+ this->SetKnotVector(knots);
+ GeneralBSplines::SetKnotVector(knots);
+ }
+
+ CentralBSplines::CentralBSplines(int Order)
+ : GeneralBSplines(Order), m_shift(0.0), m_scale(1.0)
+ {
+ Array<OneD,NekDouble> knots(Order+1,0.0);
+ for (int i =0; i < Order+1;i++)
+ {
+ knots[i] = -Order/2.0 + i;
+ }
+ this->SetKnotVector(knots);
+ GeneralBSplines::SetKnotVector(knots);
+ }
+
+ CentralBSplines::CentralBSplines(int Order, NekDouble shift)
+ : GeneralBSplines(Order), m_shift(shift), m_scale(1.0)
+ {
+ Array<OneD,NekDouble> knots(Order+1,0.0);
+ for (int i =0; i < Order+1;i++)
+ {
+ knots[i] = -Order/2.0 + i;
+ }
+ this->SetKnotVector(knots);
+ GeneralBSplines::SetKnotVector(knots);
+ }
+
+ bool CentralBSplines::EvaluateBSplines(const Array<OneD,NekDouble> &t_pos,
+ Array<OneD,NekDouble> &t_val, const NekDouble shift,
+ const NekDouble meshScaling) const
+ {
+ //For central BSplines. The j is always zero.
+ //The spline needs to be shifted and evaluated at x_pos locations.
+ int nq = t_pos.num_elements();
+ GeneralBSplines::EvaluateBSplines(t_pos, 0,t_val,shift, meshScaling);
+ return true;
+ }
+
+ }
+}
diff --git a/library/LSIAC/CentralBSplines.h b/library/LSIAC/CentralBSplines.h
new file mode 100644
index 0000000000..f4c00d302f
--- /dev/null
+++ b/library/LSIAC/CentralBSplines.h
@@ -0,0 +1,46 @@
+#ifndef LSIAC_CENTRALBSPLINES_H
+#define LSIAC_CENTRALBSPLINES_H
+
+#include "GeneralBSplines.h"
+
+/// The class evaluates CentralB-Splines at given locations.
+/** This calss automatically calculates knot positions, when using the order specified.
+ All the knot positions calcualted will range -(k+1)/2 to k+1)/2
+*/
+namespace Nektar
+{
+namespace LSIAC
+{
+class CentralBSplines: public GeneralBSplines{
+
+ private:
+ protected:
+ public:
+ NekDouble m_shift;
+ NekDouble m_scale;
+
+ CentralBSplines( int Order );
+ CentralBSplines( int Order, NekDouble shift);
+ CentralBSplines( int Order, NekDouble shift, NekDouble scale);
+
+ bool GetShift( NekDouble &shift) const;
+ bool SetShift( NekDouble shift);
+
+ bool GetScale( NekDouble &scale) const;
+ bool SetScale( NekDouble scale);
+
+ bool SetOrder( int Order);
+ int GetOrder( ) const;
+
+// bool EvaluateBSplines( const Array<OneD,NekDouble> &t_pos,const NekDouble shift, Array<OneD,NekDouble> &t_vals)const;
+ bool EvaluateBSplines( const Array<OneD,NekDouble> &t_pos, Array<OneD,NekDouble> &t_vals,
+ const NekDouble shift=0.0, const NekDouble meshScaling=1.0 )const;
+// bool EvaluateBSplines( Array<OneD,NekDouble> &t_pos, Array<OneD,NekDouble> &t_vals);
+
+};
+
+
+}
+}
+
+#endif
diff --git a/library/LSIAC/GeneralBSplines.cpp b/library/LSIAC/GeneralBSplines.cpp
new file mode 100644
index 0000000000..ec8ab4a13e
--- /dev/null
+++ b/library/LSIAC/GeneralBSplines.cpp
@@ -0,0 +1,160 @@
+#include "GeneralBSplines.h"
+
+namespace Nektar
+{
+namespace LSIAC
+{
+
+GeneralBSplines::GeneralBSplines( const int order)
+{
+ this->SetOrder( order);
+}
+
+GeneralBSplines::GeneralBSplines( const Array<OneD,NekDouble> &knots, const int order)
+{
+ this->SetKnotVector( knots);
+ this->SetOrder( order);
+}
+
+bool GeneralBSplines::SetKnotVector( const Array<OneD,NekDouble> &knots)
+{
+ this->m_knotVector=knots;
+ return true;
+}
+
+bool GeneralBSplines::GetKnotVector( Array<OneD,NekDouble> &knots)
+{
+ knots = this->m_knotVector;
+ return true;
+}
+
+
+int GeneralBSplines::GetOrder() const
+{
+ return this->m_order;
+}
+
+bool GeneralBSplines::SetOrder(const int order)
+{
+ this->m_order = order;
+ return true;
+}
+
+bool GeneralBSplines::EvaluateBSplines (const Array<OneD,NekDouble> &t_pos,const std::vector<NekDouble> &kvec,const int j_th, Array<OneD,NekDouble> &t_values, const NekDouble shift,
+ const NekDouble meshScaling)const
+{
+ return BSplinesBasis( t_pos, kvec, m_order-1, j_th, t_values, shift, meshScaling);
+}
+
+bool GeneralBSplines::EvaluateBSplines( const Array<OneD,NekDouble> &t_pos, const int j_th,Array<OneD,NekDouble> &t_values,const NekDouble shift, const NekDouble meshScaling) const
+{
+
+ BSplinesBasis( t_pos, m_order-1, j_th, t_values,shift,meshScaling);
+ return true;
+}
+
+
+bool GeneralBSplines::EvaluateBSplines( const Array<OneD,NekDouble> &t_pos,const Array<OneD,NekDouble> &knots,int j_th,Array<OneD,NekDouble> &t_values)
+{
+ cout << "This is stub. Need to be coded." << endl;
+ return true;
+}
+
+bool GeneralBSplines::BSplinesBasis( const Array<OneD,NekDouble> &t_pos, const int k,const int j,
+ Array<OneD,NekDouble> &t_val, const NekDouble shift,
+ const NekDouble meshScaling)const {
+ // Note here Order of BSplines are k+1.
+ // This is done to follow the paper. Sorry if causes confusion.
+ if (0==k) {
+ if ( j>=0 && m_knotVector.num_elements()-1){
+ for (int i =0; i < t_pos.num_elements(); i++)
+ {
+ //if( (t_pos[i]/meshScaling-shift >= m_knotVector[j]) & (t_pos[i]/meshScaling-shift < m_knotVector[j+1]))
+ if( ( (t_pos[i]-shift)/meshScaling>= m_knotVector[j]) & ( (t_pos[i]-shift)/meshScaling< m_knotVector[j+1]))
+ {
+ t_val[i] = 1.0;
+ }else{
+ t_val[i] = 0.0;
+ }
+ }
+ }else{
+ //Add Assert here. Should not come here.
+ printf("Add Asset here");
+ }
+ }else{
+ NekDouble x_eval, w_jlt,w_jlt1;
+ Array<OneD,NekDouble> Bspl_k1_j, Bspl_k1_j1;
+ Bspl_k1_j = Array<OneD,NekDouble>(t_pos.num_elements(),0.0);
+ Bspl_k1_j1 = Array<OneD,NekDouble>(t_pos.num_elements(),0.0);
+ this->BSplinesBasis( t_pos, k-1, j, Bspl_k1_j,shift,meshScaling);
+ this->BSplinesBasis( t_pos, k-1, j+1, Bspl_k1_j1,shift,meshScaling);
+ for (int i =0; i < t_pos.num_elements(); i++)
+ {
+ //x_eval = t_pos[i]/meshScaling-shift;
+ x_eval = (t_pos[i]-shift)/meshScaling;
+ if( abs(m_knotVector[j+k] - m_knotVector[j]) <= 1e-8){
+ w_jlt =0.0;
+ }else{
+ w_jlt = ( x_eval - m_knotVector[j] )/(m_knotVector[j+k]-m_knotVector[j]);
+ }
+ if( abs(m_knotVector[j+k+1] - m_knotVector[j+1]) <= 1e-8){
+ w_jlt1 =0.0;
+ }else{
+ w_jlt1 = ( x_eval - m_knotVector[j+1] )/(m_knotVector[j+k+1]-m_knotVector[j+1]);
+ }
+ t_val[i] = w_jlt*Bspl_k1_j[i] + (1-w_jlt1)*Bspl_k1_j1[i];
+ }
+ }
+ return true;
+}
+
+bool GeneralBSplines::BSplinesBasis( const Array<OneD,NekDouble> &t_pos,const vector<NekDouble> &kVec,
+ const int k,const int j, Array<OneD,NekDouble> &t_val, const NekDouble shift,
+ const NekDouble meshScaling)const {
+ // Note here Order of BSplines are k+1.
+ // This is done to follow the paper. Sorry if causes confusion.
+ if (0==k) {
+ if ( j>=0 && kVec.size()-1){
+ for (int i =0; i < t_pos.num_elements(); i++)
+ {
+ if( ( (t_pos[i]-shift)/meshScaling>= kVec[j]) & ( (t_pos[i]-shift)/meshScaling< kVec[j+1]))
+ {
+ t_val[i] = 1.0;
+ }else{
+ t_val[i] = 0.0;
+ }
+ }
+ }else{
+ //Add Assert here. Should not come here.
+ printf("Add Asset here");
+ }
+ }else{
+ NekDouble x_eval, w_jlt,w_jlt1;
+ Array<OneD,NekDouble> Bspl_k1_j, Bspl_k1_j1;
+ Bspl_k1_j = Array<OneD,NekDouble>(t_pos.num_elements(),0.0);
+ Bspl_k1_j1 = Array<OneD,NekDouble>(t_pos.num_elements(),0.0);
+ this->BSplinesBasis( t_pos,kVec, k-1, j, Bspl_k1_j,shift,meshScaling);
+ this->BSplinesBasis( t_pos, kVec, k-1, j+1, Bspl_k1_j1,shift,meshScaling);
+ for (int i =0; i < t_pos.num_elements(); i++)
+ {
+ //x_eval = t_pos[i]/meshScaling-shift;
+ x_eval = (t_pos[i]-shift)/meshScaling;
+ if( abs(kVec[j+k] - kVec[j]) <= 1e-8){
+ w_jlt =0.0;
+ }else{
+ w_jlt = ( x_eval - kVec[j] )/(kVec[j+k]-kVec[j]);
+ }
+ if( abs(kVec[j+k+1] - kVec[j+1]) <= 1e-8){
+ w_jlt1 =0.0;
+ }else{
+ w_jlt1 = ( x_eval - kVec[j+1] )/(kVec[j+k+1]-kVec[j+1]);
+ }
+ t_val[i] = w_jlt*Bspl_k1_j[i] + (1-w_jlt1)*Bspl_k1_j1[i];
+ }
+ }
+ return true;
+}
+
+
+}
+}
diff --git a/library/LSIAC/GeneralBSplines.h b/library/LSIAC/GeneralBSplines.h
new file mode 100644
index 0000000000..a978dfa9c9
--- /dev/null
+++ b/library/LSIAC/GeneralBSplines.h
@@ -0,0 +1,64 @@
+#ifndef LSIAC_GENERALBSPLINES_H
+#define LSIAC_GENERALBSPLINES_H
+
+
+#include <iostream>
+#include <vector>
+#include "BSplines.h"
+
+
+/// This class evaluates any general BSplines at given location when knots and order are specified.
+
+/** To evaluate General BSplines at any location, one needs knots and Order of Bsplines.
+*/
+
+namespace Nektar
+{
+namespace LSIAC
+{
+
+class GeneralBSplines: public BSplines{
+ // data
+ public:
+ Array<OneD,NekDouble> m_knotVector;
+ int m_order;
+ // functions
+ private:
+ bool BSplinesBasis(const Array<OneD,NekDouble> &t_pos, const int k,const int j,
+ Array<OneD,NekDouble> &t_val, const NekDouble scaling=0.0, const NekDouble meshScaling=1.0)const;
+
+ bool BSplinesBasis(const Array<OneD,NekDouble> &t_pos,const vector<NekDouble> &kvector, const int k,const int j,
+ Array<OneD,NekDouble> &t_val, const NekDouble scaling=0.0, const NekDouble meshScaling=1.0)const;
+ protected:
+ public:
+ GeneralBSplines(const int order);
+ GeneralBSplines(const Array<OneD,NekDouble> &knots,const int order);
+
+ bool SetKnotVector(const Array<OneD,NekDouble> &knots);
+
+ bool GetKnotVector ( Array<OneD,NekDouble> &knots);
+
+ bool SetOrder(const int order);
+
+ int GetOrder() const;
+
+ //Not used yet!
+ bool EvaluateBSplines(const Array<OneD,NekDouble> &t_pos,const Array<OneD,NekDouble> &knots,const int j_th,
+ Array<OneD,NekDouble> &t_values);
+
+ //Not used yet!
+ bool EvaluateBSplines(const Array<OneD,NekDouble> &t_pos,const Array<OneD,NekDouble> &knots,const int j_th,
+ const NekDouble shift, Array<OneD,NekDouble> &t_values);
+
+ bool EvaluateBSplines (const Array<OneD,NekDouble> &t_pos,const int j_th, Array<OneD,NekDouble> &t_values,
+ const NekDouble shift=0.0, const NekDouble meshScaling=1.0)const;
+
+ bool EvaluateBSplines (const Array<OneD,NekDouble> &t_pos,const std::vector<NekDouble> &kvec, const int j_th,
+ Array<OneD,NekDouble> &t_values, const NekDouble shift=0.0, const NekDouble meshScaling=1.0)const;
+
+};
+
+}
+}
+
+#endif
diff --git a/library/LSIAC/HandleMesh.h b/library/LSIAC/HandleMesh.h
new file mode 100644
index 0000000000..a1c376f83e
--- /dev/null
+++ b/library/LSIAC/HandleMesh.h
@@ -0,0 +1,31 @@
+#ifndef HANDLEMESH_H
+#define HANDLEMESH_H
+
+#include <iostream>
+#include <vector>
+#include <string>
+#include "LSIACPostProcessor.h"
+using namespace std;
+
+
+/// This is base class to handle different type of meshes.
+
+/** Each subclass can handle one particular format of the mesh.
+ This class allows users to add their own mesh format in the future purpose.
+*/
+
+namespace Nektar
+{
+ namespace LSIAC
+ {
+
+ class HandleMesh: public LSIACPostProcessor{
+ public:
+ protected:
+
+ };
+
+ }
+}
+
+#endif
diff --git a/library/LSIAC/HandleNekMesh.cpp b/library/LSIAC/HandleNekMesh.cpp
new file mode 100644
index 0000000000..d6158b46fa
--- /dev/null
+++ b/library/LSIAC/HandleNekMesh.cpp
@@ -0,0 +1,413 @@
+#include "HandleNekMesh.h"
+
+namespace Nektar
+{
+ namespace LSIAC
+ {
+ bool HandleNekMesh::EvaluateAt(const Array<OneD,Array<OneD,NekDouble> >point,
+ const int gID, const int eID, Array<OneD,NekDouble> &values,int varNum)
+ {
+ if (!m_expansions[varNum]->GetPhysState())
+ {
+ m_expansions[varNum]->BwdTrans(m_expansions[varNum]->GetCoeffs(),m_expansions[varNum]->UpdatePhys());
+ }
+ assert( gID>=0 && eID>=0 && "Input paramerters are out of scope;");
+ // The reason for asking gID will be useful if we are using MPI.
+ for (int i =0 ; i < values.num_elements(); i++)
+ {
+ Array<OneD, NekDouble> phys(m_expansions[varNum]->GetPhys() + m_expansions[varNum]->GetPhys_Offset(eID));
+ values[i]=m_expansions[varNum]->GetExp(eID)->PhysEvaluate(point[i], phys);
+ }
+ return true;
+ }
+
+ bool HandleNekMesh::GetListOfGIDs(const Array<OneD,NekDouble> Pos, Array<OneD,NekDouble> &direction, vector<double> t_breaks, Array<OneD,int> &t_GIDs,
+ Array<OneD, int> &t_EIDs)
+ {
+ t_GIDs=Array<OneD,int>(t_breaks.size());
+ t_EIDs=Array<OneD,int>(t_breaks.size());
+ Array<OneD,NekDouble> locCoord(m_meshdim,0.0);
+ for( int i =0; i < t_breaks.size()-1;i++)
+ {
+ t_GIDs[i] = -1; t_EIDs[i] = -1;
+ NekDouble t_break = (t_breaks[i] + t_breaks[i+1])/2.0;
+ for(int d=0;d<m_meshdim;++d)
+ locCoord[d] = Pos[d]+t_break*direction[d];
+ if (m_useRTree)
+ {
+ t_GIDs[i] = GetExpansionIndexUsingRTree(locCoord);
+ t_GIDs[i] = m_expansions[0]->GetExpIndex(locCoord,TOLERENCE);
+ }else{
+ t_GIDs[i] = m_expansions[0]->GetExpIndex(locCoord,TOLERENCE);
+ }
+ t_EIDs[i] = t_GIDs[i];
+ if (t_GIDs[i] <0)
+ {
+ for(int d=0;d<m_meshdim;++d)
+ locCoord[d] -= TOLERENCE*direction[d];
+ if (m_useRTree)
+ {
+ t_GIDs[i] = GetExpansionIndexUsingRTree(locCoord);
+ t_GIDs[i] = m_expansions[0]->GetExpIndex(locCoord,TOLERENCE);
+ }
+ else
+ t_GIDs[i] = m_expansions[0]->GetExpIndex(locCoord,TOLERENCE);
+ if (t_GIDs[i] <0)
+ {
+ assert( t_GIDs[i] >=0 && "Will fail down the line");
+ }
+ }
+ }
+ return true;
+ }
+
+
+
+ bool HandleNekMesh::IntersectWithEdges(vector<double> &tvalT,Array<OneD,NekDouble> x_bar, Array<OneD,NekDouble> direction,
+ double t1,double t2)
+ {
+ tvalT.clear();
+ Array<OneD,NekDouble> p1(m_meshdim), p2(m_meshdim),intersectionPoint(m_meshdim);
+ vector<NekDouble> i2;
+ for(int i=0;i<m_meshdim;++i)
+ {
+ p1[i]=x_bar[i]+direction[i]*t1;
+ p2[i]=x_bar[i]+direction[i]*t2;
+ intersectionPoint[i]=p1[i];
+ }
+ int dirID = -1;
+ // iterate through all the edges.
+ // pick a direction not zero.
+ for (int i =0; i<m_meshdim; i++)
+ {
+ if (std::abs(direction[i]) >PTTOL)
+ {
+ dirID = i;
+ break;
+ }
+ }
+ assert( dirID >=0 && "Direction is not right something is up ");
+ int lastPointId = m_expansions[0]->GetExpIndex(p2,NekConstants::kGeomFactorsTol);
+ vector<int> edges_ids;
+ int it=0;
+ int itMax = 10000;
+ int element_id=m_expansions[0]->GetExpIndex(intersectionPoint,NekConstants::kGeomFactorsTol);
+ do
+ {
+ if(it >itMax){
+ assert( it > itMax && " I THINK I GOT STUCK IN INTERESECTION SCAN INSIDE INTERESECTWITHEDGES2");
+ return false;}
+ ++it;
+ LocalRegions::ExpansionSharedPtr e = m_expansions[0]->GetExp(element_id); // pointer at the element
+ LocalRegions::Expansion2DSharedPtr e2d = boost::dynamic_pointer_cast<LocalRegions::Expansion2D> (e); // 2D expansion for edges
+ for(int edgeCount = 0; edgeCount < e2d->GetNedges() ; ++edgeCount)
+ {
+ LocalRegions::ExpansionSharedPtr edge=e2d->GetEdgeExp(edgeCount); // we build and loop around all edges, don't know which one it is...
+ SpatialDomains::Geometry1DSharedPtr edgeGeom=e2d->GetGeom2D()->GetEdge(edgeCount);
+ LocalRegions::Expansion1DSharedPtr edge1D= boost::dynamic_pointer_cast<LocalRegions::Expansion1D>(edge);
+ int id=edgeGeom->GetEid();
+ if(find(edges_ids.begin(), edges_ids.end(), id) == edges_ids.end() || edges_ids.size() == 0 )
+ {
+ edges_ids.push_back(id);
+ SpatialDomains::PointGeomSharedPtr vert0=edge1D->GetGeom1D()->GetVertex(0);
+ SpatialDomains::PointGeomSharedPtr vert1=edge1D->GetGeom1D()->GetVertex(1);
+ Array<OneD,NekDouble> v0coords(m_meshdim),v1coords(m_meshdim);
+ vert0->GetCoords(v0coords);
+ vert1->GetCoords(v1coords);
+ cout.precision(16);
+ // cout<<"\n\n COMPARING SEGMENT "<<p1[0]<<" "<<p1[1]<<" WITH "<<p2[0]<<" "<<p2[1]<<endl;
+ // cout<<" WITH MESH VERTEX SEGMENT "<<v0coords[0]<<" "<<v0coords[1]<<" WITH "<<v1coords[0]<<" "<<v1coords[1]<<endl;
+ if(intersect(p1,p2,v0coords,v1coords,intersectionPoint,i2))
+ {
+ // cout<<" INTERSECTION POINT "<<intersectionPoint[0]<<" "<<intersectionPoint[1]<<endl;
+ edgeCount=e2d->GetNedges();
+ NekDouble t =(intersectionPoint[dirID]-x_bar[dirID])/direction[dirID];
+ tvalT.push_back(t);
+ if( t >t2)
+ {
+ assert( t>t2 && " WE HAVE GONE BEYOND THE LAST BREAK POINT");
+ }
+ for(int i=0;i<m_meshdim;++i)
+ {
+ intersectionPoint[i]+=PTTOL*direction[i];
+ }
+ if(i2.size() > 0)
+ {
+ t = (i2[dirID]-x_bar[dirID])/direction[dirID];
+ tvalT.push_back(t);
+ for(int i=0;i<m_meshdim;++i)
+ {
+ intersectionPoint[i]=i2[i]+direction[i]*(PTTOL);
+ }
+ // cout<<" ANOTHER !"<<intersectionPoint[0]<<"\t"<<intersectionPoint[1]<<endl;
+ }
+ element_id=m_expansions[0]->GetExpIndex(intersectionPoint,NekConstants::kGeomFactorsTol);
+ if(element_id == -1 )
+ element_id = lastPointId;
+ if(fabs(t-t2)<TTOL)
+ element_id=lastPointId;
+ // cout<<" INTERSECTION POINT "<<intersectionPoint[0]<<" "<<intersectionPoint[1]<<endl;
+ }
+ }
+
+ }
+ }
+ while(lastPointId != element_id);
+ tvalT.push_back(t1);
+ tvalT.push_back(t2);
+ std::sort(tvalT.begin(),tvalT.end());
+ std::vector<NekDouble>::iterator ittt;
+ ittt = std::unique(tvalT.begin(),tvalT.end(),this->compare2NekDoublesH);
+ tvalT.resize( std::distance(tvalT.begin(),ittt));
+ return true;
+ }
+ void HandleNekMesh::IntersectWithAllEdges ( const SpatialDomains::SegGeomMap &segMap, const SpatialDomains::PointGeomMap &pointMap,
+ const Array<OneD,NekDouble> &direction, const Array<OneD,NekDouble> &point, const NekDouble t1, const NekDouble t2,
+ vector<NekDouble> &tvalT)
+ {
+ tvalT.clear();
+ Array<OneD,NekDouble> p1(m_meshdim), p2(m_meshdim),intersectionPoint (m_meshdim,0.);
+ for(int i=0;i<m_meshdim;++i)
+ {
+ p1[i]=point[i]+direction[i]*t1;
+ p2[i]=point[i]+direction[i]*t2;
+ }
+ vector<NekDouble> i2 (m_meshdim,0.);
+ int dirID = -1;
+ for (int i =0; i<m_meshdim; i++)
+ {
+ if (std::abs(direction[i]) >TOLERENCE)
+ {
+ dirID = i;
+ break;
+ }
+ }
+ for (int s =0;s< segMap.size(); s++)
+ {
+ SpatialDomains::SegGeomSharedPtr segPtr = segMap.find(s)->second; //->second;
+ Array<OneD,NekDouble> q1(m_meshdim,0.0);
+ Array<OneD,NekDouble> q2(m_meshdim,0.0);
+ pointMap.find( segPtr->GetVid(0) )->second->GetCoords(q1);
+ pointMap.find( segPtr->GetVid(1) )->second->GetCoords(q2);
+ if (intersect(p1,p2,q1,q2,intersectionPoint,i2))
+ {
+ NekDouble t =0 ;
+ t = (intersectionPoint[dirID]-point[dirID])/direction[dirID];
+ tvalT.push_back(t);
+ if(i2.size() > 0)
+ {
+ // nbc.printNekArray(i2,0);
+ NekDouble t =0 ;
+ t = (i2[dirID]-point[dirID])/direction[dirID];
+ tvalT.push_back(t);
+ }
+ }
+ }
+ // sort and keep them unique
+ tvalT.push_back(t1);
+ tvalT.push_back(t2);
+ std::sort(tvalT.begin(),tvalT.end());
+ std::vector<NekDouble>::iterator ittt;
+ ittt = std::unique(tvalT.begin(),tvalT.end(),this->compare2NekDoublesH);
+ tvalT.resize( std::distance(tvalT.begin(),ittt));
+ }
+
+
+ bool HandleNekMesh::threeD_intersect( Array<OneD,NekDouble> &p1, Array<OneD,NekDouble> &p2,
+ Array<OneD,NekDouble> &q1, Array<OneD,NekDouble> &q2,
+ Array<OneD,NekDouble>&i1, vector<NekDouble>&i2 )
+ {
+ // Assuming all points are 3D.
+ int threeD =3;
+ // 1. compute r and s ; r= P2-P1; s = Q2-Q1;
+ i2.clear();
+ NekDouble t0,t1;
+ Array<OneD,NekDouble> r(threeD,0.), s(threeD,0.) , pMq(threeD,0.);
+ sub_Math(p2,p1,r,threeD); sub_Math(q2,q1,s,threeD); sub_Math(p1,q1,pMq,threeD);
+ Array<OneD,NekDouble> rCs = threeDcross_Math(r,s);
+ Array<OneD,NekDouble> pMq_Cr = threeDcross_Math(pMq,r);
+ if( (norm2_Math(rCs,threeD) < TOLERENCE) && (norm2_Math(pMq_Cr,threeD) < TOLERENCE) ) // colinear segments. We will get two intersection points.
+ {
+ t0 = -1.0*dot_Math(pMq,r,threeD)/dot_Math(r,r,threeD);
+ Array<OneD,NekDouble> q2Mp(threeD,0.);
+ sub_Math(q2,p1,q2Mp,threeD);
+ t1 = dot_Math(q2Mp,r,threeD)/dot_Math(r,r,threeD);
+ if (t0 > t1)
+ {
+ NekDouble temp = t0;
+ t0 = t1;
+ t1 = temp;
+ }
+ if (t0 <-TOLERENCE && t1 <-TOLERENCE) // no intersection
+ return false;
+ else if (t0<-TOLERENCE && t1<1.0+TOLERENCE) // p0 is intersection point and t1.
+ {
+ i1=p1;
+ for(int d=0;d<p1.num_elements();++d)
+ i2.push_back( p1[d] + t1*r[d] );
+ return true;
+ }
+ else if (t0<-TOLERENCE && t1>1.0+TOLERENCE) // p0 and p1 are intersection point
+ {
+ i1=p1;
+ for(int d=0;d<threeD;++d)
+ i2.push_back( p2[d] );
+ return true;
+ }
+ else if ( t0< 1.0+TOLERENCE && t1 > 1.0+TOLERENCE) // t0 is intersectino point and endpoint
+ {
+ for(int d=0;d<p1.num_elements();++d)
+ {
+ i1[d]=p1[d] + t0*r[d];
+ i2.push_back( p2[d] );
+ }
+ return true;
+ }
+ else
+ return false;
+ }
+ if( (norm2_Math(rCs,threeD) < TOLERENCE) && (norm2_Math(pMq_Cr,threeD) > TOLERENCE) ) // Skew lines
+ {
+ return false;
+ }
+ if( norm2_Math(rCs,threeD) > TOLERENCE) // Proper intersection: get single point
+ {
+ Array<OneD,NekDouble> qMp(threeD);
+ sub_Math(q1,p1,qMp,threeD);
+ Array<OneD,NekDouble> qMp_Cs = threeDcross_Math( qMp,s );
+ Array<OneD,NekDouble> qMp_Cr = threeDcross_Math( qMp,r );
+ rCs= threeDcross_Math(r,s);
+ NekDouble t = std::sqrt( norm2_Math(qMp_Cs,threeD)/norm2_Math(rCs,threeD) );
+ NekDouble terr = (std::abs(qMp_Cs[0] -t*rCs[0]) +
+ std::abs(qMp_Cs[1]-t*rCs[1]) + std::abs(qMp_Cs[2] - t*rCs[2]) );
+ NekDouble u = std::sqrt( norm2_Math(qMp_Cr,threeD)/norm2_Math(rCs,threeD) );
+ NekDouble uerr = (std::abs(qMp_Cr[0] -u*rCs[0]) +
+ std::abs(qMp_Cr[1]-u*rCs[1]) + std::abs(qMp_Cr[2] - u*rCs[2]) );
+ if ( (t > -TOLERENCE && t < 1+TOLERENCE) &&(u> -TOLERENCE && u < 1+TOLERENCE) &&
+ (terr<TOLERENCE) && (uerr<TOLERENCE) )
+ {
+ for(int d=0;d<p1.num_elements();++d)
+ i1[d]=p1[d] + t*r[d];
+ return true;
+ }
+ else{
+ return false;
+ }
+ }
+ return true;
+ }
+ bool HandleNekMesh::filterFits(const Array<OneD,NekDouble> point, Array<OneD,NekDouble> &direction,NekDouble &tmin_sym,NekDouble &tmax_sym,NekDouble &tmin_one,NekDouble &tmax_one,KernelType &shift)
+ {
+ Array<OneD,Array<OneD,NekDouble> > axis(1);
+ axis[0]=direction;
+ return filterFits(point,direction,axis,1,tmin_sym,tmax_sym,tmin_one,tmax_one,shift) ;
+ }
+
+ bool HandleNekMesh::filterFits(const Array<OneD,NekDouble> point, Array<OneD,NekDouble> &direction,Array<OneD,Array<OneD,NekDouble> >&rotation_axis,int Ntries,NekDouble &tmin_sym,NekDouble &tmax_sym,NekDouble &tmin_one,NekDouble &tmax_one,KernelType &shift)
+ {
+ bool support_fits=false;
+ int good_rotation=0;
+ double tmin_aux,tmax_aux;
+ shift = eSYMMETRIC;
+ for(int n=0;n<Ntries;++n)
+ {
+ if(fabs(tmin_one-tmax_one)<TTOL)
+ break;
+ //cout<<" \n\nROTATION AXIS n "<<n<<"\t"<<rotation_axis[n][0]<<" "<<rotation_axis[n][1]<<" ";//<<rotation_axis[n][2]<<endl;
+ support_fits=checkSupport(point,rotation_axis[n],tmin_sym,tmax_sym,false,shift);
+ if(support_fits)
+ {
+ good_rotation = n;
+ break;
+ }
+ }
+ if(!support_fits) // ONE SIDED FILTER
+ {
+ //cout<<" ***************** TRY SHIFTING NOW "<<" TMIN "<<tmin_one<<" TMAX "<<tmax_one<<endl;
+ if(fabs(tmin_one-tmax_one)<TTOL)
+ return false;
+ for(int n=0;n<Ntries;++n)
+ {
+ tmin_aux = tmin_one;
+ tmax_aux = tmax_one;
+ // cout<<" FOR ROTATION "<<n<<endl;
+ support_fits=checkSupport(point,rotation_axis[n],tmin_aux,tmax_aux,true,shift);
+ if(support_fits)
+ {
+ good_rotation = n;
+ break;
+ }
+ }
+ tmin_one= tmin_aux;
+ tmax_one = tmax_aux;
+ }
+ if(support_fits)
+ {
+ //cout<<" USE ORIENTATION : ";
+ for(int d=0;d<m_meshdim;++d)
+ {
+ direction[d]=rotation_axis[good_rotation][d];
+ // cout<<direction[d]<<"\t";
+ }
+ //cout<<endl;
+ return true;
+ }
+ else{
+ //cout<<" SUPPORT DIDNT FIT. TOO BAD. RETURN ORISOL."<<endl;
+ return false;}
+ }
+
+ bool HandleNekMesh::checkSupport(const Array<OneD,NekDouble> point, Array<OneD,NekDouble> &direction, NekDouble &tmin,NekDouble &tmax,bool try_shifting,KernelType &shift)
+ {
+ Array<OneD,NekDouble> left_limit(m_meshdim),right_limit(m_meshdim);
+ if(fabs(tmin-tmax)<TTOL)
+ return false;
+ //cout<<"\n\n\n checking suport for TMIN "<<tmin<<" TMAX "<<tmax<<" COORDINATES TO TEST "<<endl;
+ for(int i=0;i<m_meshdim;++i)
+ {
+ left_limit[i]=point[i]+tmin*direction[i];
+ right_limit[i]=point[i]+tmax*direction[i];
+ // cout<<" LEFT "<<left_limit[i]<<"\t right "<<right_limit[i]<<endl;
+ }
+ int lId,rId;
+ lId = GetId(left_limit);
+ rId = GetId(right_limit);
+ if(!try_shifting && (lId == -1 || rId == -1 ))
+ return false;
+ else if(try_shifting && lId == -1 )
+ {
+ double tmin_aux=tmin;
+ double tmax_aux=tmax;
+ tmin-=0.5*tmin;
+ tmax-=tmin;
+ shift = eHALF_LEFT;
+ if(!checkSupport(point,direction,tmin,tmax,false,shift))
+ {
+ tmin=0;
+ tmax=tmax_aux-tmin_aux;
+ shift = eBOUNDARY_LEFT;
+ return(checkSupport(point,direction,tmin,tmax,false,shift));
+ }
+ }
+ else if(try_shifting && rId == -1 )
+ {
+ double tmin_aux=tmin;
+ double tmax_aux=tmax;
+ tmax-=0.5*tmax;
+ tmin-=tmax;
+ shift = eHALF_RIGHT;
+ if(!checkSupport(point,direction,tmin,tmax,false,shift))
+ {
+ tmax=0.;
+ tmin=tmin_aux-tmax_aux;
+ shift = eBOUNDARY_RIGHT;
+ return(checkSupport(point,direction,tmin,tmax,false,shift));
+ }
+ }
+ return true;
+ }
+
+ }
+
+}
+
diff --git a/library/LSIAC/HandleNekMesh.h b/library/LSIAC/HandleNekMesh.h
new file mode 100644
index 0000000000..492f2e9e0b
--- /dev/null
+++ b/library/LSIAC/HandleNekMesh.h
@@ -0,0 +1,309 @@
+#ifndef HANDLENEKMESH_H
+#define HANDLENEKMESH_H
+
+#include "HandleMesh.h"
+#include<LocalRegions/Expansion1D.h>
+#include<LocalRegions/Expansion2D.h>
+#include<SpatialDomains/Geometry.h>
+#include<SpatialDomains/Geometry2D.h>
+#include <LibUtilities/BasicConst/NektarUnivTypeDefs.hpp>
+#include <memory>
+#include <limits>
+// rtreees
+#include <boost/geometry.hpp>
+#include <boost/geometry/geometries/point.hpp>
+#include <boost/geometry/geometries/box.hpp>
+#include <boost/geometry/index/rtree.hpp>
+#include <boost/foreach.hpp>
+#include <boost/function_output_iterator.hpp>
+#include "SIACenumerators.h"
+
+#include<LibUtilities/BasicConst/NektarUnivTypeDefs.hpp>
+
+/// Class deals mesh queries of nektarMeshes.
+/** This class in particular can load an Save only NektarMeshes.
+ This class also help in selecting elements in the given neighbourhood. etc.
+*/
+
+
+namespace Nektar
+{
+ namespace LSIAC
+ {
+ class HandleNekMesh;
+
+ typedef boost::shared_ptr<HandleNekMesh> HandleNekMeshSharedPtr;
+ namespace Boostg = boost::geometry;
+ namespace Boostgi = boost::geometry::index;
+ typedef Boostg::model::point<NekDouble, 3, Boostg::cs::cartesian> RPoint;
+ typedef Boostg::model::box<RPoint> RBox;
+ typedef boost::tuple<RBox,unsigned,unsigned> RValue;
+ //typedef std::pair<RBox,unsigned,unsigned> RValue;
+ //typedef Boostgi::rtree<RValue, Boostgi::rstar<16> > RTree;
+ typedef Boostgi::rtree<RValue, Boostgi::quadratic<10,3> > RTree;
+ // used with Boost.Geometry R-tree
+ class HandleNekMesh: public HandleMesh{
+ private:
+ vector<boost::shared_ptr<MultiRegions::ExpList> > Explist;
+ protected:
+ public:
+ static bool compare2NekDoublesH(NekDouble x, NekDouble y)
+ {
+ return ((x-TOLERENCE <y) && (x+TOLERENCE >y));
+ }
+ int m_meshdim;
+ int m_spacedim;
+ bool m_useRTree;
+ LibUtilities::SessionReaderSharedPtr m_session;
+ SpatialDomains::MeshGraphSharedPtr m_graph;
+ vector<MultiRegions::ExpListSharedPtr> m_expansions;
+ SpatialDomains::SegGeomMap m_segMap;
+ SpatialDomains::PointGeomMap m_pointMap;
+ HandleNekMesh( LibUtilities::SessionReaderSharedPtr sessionPtr):m_session(sessionPtr)
+ {
+ m_graph = SpatialDomains::MeshGraph::Read(m_session);
+ m_meshdim = m_graph->GetMeshDimension();
+ m_spacedim = m_graph->GetSpaceDimension();
+ m_segMap = m_graph->GetAllSegGeoms();
+ m_pointMap = m_graph->GetAllPointGeoms();
+ }
+ HandleNekMesh( const string meshFileName, const string fldFileName){};
+ //! Constructor to load mesh.
+ /*! This constructor only takes mesh data to create the object.
+ The data needs to be loaded inorder for some functions to be used.
+ */
+ HandleNekMesh( const string meshFileName ){};
+ //! Constructor to only initialize the object.
+ /*! The mesh needs to be loaded at some point of time for the object to do any meaningful work.
+ */
+ HandleNekMesh( );
+ // PURE FUNCTIONS
+ bool filterFits(const Array<OneD,NekDouble> point, Array<OneD,NekDouble> &direction, Array<OneD,Array<OneD,NekDouble> >&rotation_axis, int Ntries, NekDouble &tmin, NekDouble &tmax, NekDouble &tmin_one, NekDouble &tmax_one, KernelType &shift);
+ bool filterFits(const Array<OneD,NekDouble> point, Array<OneD,NekDouble> &direction, NekDouble &tmin_sym, NekDouble &tmax_sym, NekDouble &tmin_one, NekDouble &tmax_one, KernelType &shift);
+ bool checkSupport(const Array<OneD,NekDouble> point, Array<OneD,NekDouble> &direction, NekDouble &tmin, NekDouble &tmax, bool try_shifting, KernelType &shift);
+ bool GetListOfGIDs(const Array<OneD,NekDouble> Pos, Array<OneD,NekDouble> &direction, vector<double> t_breaks, Array<OneD,int> &t_GIDs,
+ Array<OneD, int> &t_EIDs);
+ bool threeD_intersect(Array<OneD,NekDouble> &p1, Array<OneD,NekDouble> &p2,
+ Array<OneD,NekDouble> &q1, Array<OneD,NekDouble> &q2,
+ Array<OneD, NekDouble> &i1, vector<NekDouble>&i2 );
+ void IntersectWithAllEdges ( const SpatialDomains::SegGeomMap &segMap, const SpatialDomains::PointGeomMap &pointMap,
+ const Array<OneD,NekDouble> &direction, const Array<OneD,NekDouble> &point, const NekDouble t1, const NekDouble t2,
+ vector<NekDouble> &tvalT);
+ bool EvaluateAt(const Array<OneD,Array<OneD,NekDouble> >point,
+ const int gID, const int eID, Array<OneD,NekDouble> &values,int varNum);
+
+ // VIRTUAL
+ bool LoadMesh(string var)
+ {
+ return v_LoadMesh(var);
+ }
+ virtual bool LoadData(string Filename, vector<string> &variables)
+ {
+ return v_LoadData(Filename,variables);
+ }
+ virtual bool v_LoadMesh(string var)
+ {
+ cout << "This is base case. need to override. v_LoadMesh" << endl;
+ return false;
+ }
+ virtual bool v_LoadData(string Filename, vector<string> &variables)
+ {
+ cout << "This should not be called, but over written by child class" << endl;
+ return true;
+ }
+
+
+ bool intersect(Array<OneD,NekDouble> &p1, Array<OneD,NekDouble> &p2,
+ Array<OneD,NekDouble> &q1, Array<OneD,NekDouble> &q2,
+ Array<OneD, NekDouble> &i1, vector<NekDouble>&i2 )
+ {
+ return v_intersect(p1,p2,q1,q2,i1,i2);
+ }
+ virtual bool v_intersect(Array<OneD,NekDouble> &p1, Array<OneD,NekDouble> &p2,
+ Array<OneD,NekDouble> &q1, Array<OneD,NekDouble> &q2,
+ Array<OneD, NekDouble> &i1, vector<NekDouble>&i2 )
+ {
+ cout << " intersect is virtual... should be overriden ??? " << endl;
+ return true;
+ }
+
+ bool IntersectWithEdges(vector<double> &tvalT,Array<OneD,NekDouble> x_bar, Array<OneD,NekDouble> direction,
+ double t1,double t2);
+
+
+ //! This function gives break points for one particular point in the mesh.
+ /*! This function is optimized to work faster when arbitrary points need to be evaluated.
+ Please do not use this function in a for loop to process a bunch of points. It can be really slow.
+ */
+ bool GetBreakPts( const Array<OneD,NekDouble> point_offset,Array<OneD,NekDouble> &direction, const NekDouble tmin,
+ const NekDouble tmax, vector<NekDouble> &tPos )
+ {
+
+ return v_GetBreakPts( point_offset,direction, tmin,tmax, tPos);
+ }
+ virtual bool v_GetBreakPts( const Array<OneD,NekDouble> point_offset,Array<OneD,NekDouble> &direction, const NekDouble tmin,
+ const NekDouble tmax, vector<NekDouble> &tPos)
+ {
+ cout << "This v_GetBreakPts is supposed to be purely virutal. :( ??? " << endl;
+ return true;
+ };
+ // RTREE
+ int GetExpansionIndexUsingRTree(const Array<OneD,NekDouble> &locCoord)
+ {
+ return v_GetExpansionIndexUsingRTree(locCoord);
+ }
+ virtual int v_GetExpansionIndexUsingRTree(const Array<OneD,NekDouble> &locCoord)
+ {
+ cout << "v_GetExpansionIndexUsingRtre in handlenekMesh is supposed to be purely virutal. :( ??? " << endl;
+ return 0;
+ }
+ public:
+ // AUX FUNCTIONS: vector norm, cross product, etc.
+ template <class coords>
+ inline coords threeDcross_Math(coords r,coords s)
+ {
+ coords ans(3);
+ ans[0] = r[1]*s[2] - r[2]*s[1];
+ ans[1] = r[2]*s[0] - r[0]*s[2];
+ ans[2] = r[0]*s[1] - r[1]*s[0];
+ return ans;
+ }
+ template <class coords>
+ double twoDcross_Math(coords r,coords s)
+ {
+ return r[0]*s[1] - r[1]*s[0];
+ }
+ template <class coords>
+ inline void sub_Math(coords p2,coords p1,coords &res,int dim)
+ {
+ for(int i=0;i<dim ; ++ i)
+ res[i]=p2[i]-p1[i];
+ }
+ template <class coords>
+ inline NekDouble dot_Math(coords p,coords q, int dim)
+ {
+ NekDouble dm=0.;
+ for(int i=0;i<dim;++i)
+ dm+=p[i]*q[i];
+ return(dm);
+ }
+ template <class coords>
+ inline NekDouble norm2_Math(coords p, int dim)
+ {
+ NekDouble norm=0.;
+ for(int i=0;i<dim;++i)
+ {
+ norm+=pow(p[i],2);
+ }
+ return(norm);
+ }
+ template <class coords>
+ inline NekDouble norm_Math(coords p, int dim)
+ {
+ return(sqrt(norm2_Math(p,dim)));
+ }
+ template <class coords>
+ inline NekDouble GetElLargestEdgeSize(const coords point,int Elid)
+ {
+ if (Elid < 0)
+ {
+ Elid = m_expansions[0]->GetExpIndex(point);
+ assert(Elid >0 && "Something wrong. Point outside boundary" );
+ }
+ SpatialDomains::GeometrySharedPtr gEl = ( m_expansions[0]->GetExp(Elid) )->GetGeom();
+ int numEdges = gEl->GetNumEdges();
+ NekDouble maxLength=-1.0;
+ for (int i =0; i < numEdges ; i++)
+ {
+ int Eid = gEl->GetEid(i);
+ SpatialDomains::PointGeomSharedPtr p0 = m_segMap.find(Eid)->second->GetVertex(0);
+ SpatialDomains::PointGeomSharedPtr p1 = m_segMap.find(Eid)->second->GetVertex(1);
+ SpatialDomains::PointGeom p2(*p1);
+ NekDouble len = p0->dist(p2);
+ maxLength=max(len,maxLength);
+ }
+ assert( maxLength >0 && "max Length > 0 ");
+ return maxLength;
+ }
+
+ inline void GetElementSize(int Elid,Array<OneD,NekDouble> &delta)
+ {
+ SpatialDomains::GeometrySharedPtr gEl = ( m_expansions[0]->GetExp(Elid) )->GetGeom();
+ int numEdges = gEl->GetNumEdges();
+ Array<OneD,Array<OneD,NekDouble> > verts_coords(2*numEdges);
+ int vId=0;
+ for (int i =0; i < numEdges ; i++)
+ {
+ int Eid = gEl->GetEid(i);
+ for(int v=0;v<2;++v)
+ {
+ verts_coords[vId]=Array<OneD,NekDouble>(m_meshdim);
+ SpatialDomains::PointGeomSharedPtr p0 = m_segMap.find(Eid)->second->GetVertex(v);
+ p0->GetCoords(verts_coords[vId]);
+ ++vId;
+ }
+ }
+ delta=Array<OneD,NekDouble> (m_meshdim,std::numeric_limits<float>::max());
+ for(int d=0;d<m_meshdim;++d)
+ {
+ for(int v=0;v<2*numEdges-1;++v)
+ {
+ double v_dit=fabs(verts_coords[v+1][d]-verts_coords[v][d]);
+ if(v_dit>TOLERENCE)
+ delta[d]=min(v_dit,delta[d]);
+ }
+ }
+ }
+
+ inline int GetId(Array<OneD,NekDouble> point)
+ {
+ if (m_useRTree)
+ {
+ return GetExpansionIndexUsingRTree(point);
+ }
+ return m_expansions[0]->GetExpIndex(point,NekConstants::kGeomFactorsTol);
+ }
+
+ inline virtual void GetElementCentre(int Elid,Array<OneD,NekDouble> ¢re)
+ {
+ SpatialDomains::GeometrySharedPtr gEl = ( m_expansions[0]->GetExp(Elid) )->GetGeom();
+ int numEdges = gEl->GetNumEdges();
+ Array<OneD,Array<OneD,NekDouble> > verts_coords(2*numEdges);
+ int vId=0;
+ for (int i =0; i < numEdges ; i++)
+ {
+ int Eid = gEl->GetEid(i);
+ for(int v=0;v<2;++v)
+ {
+ verts_coords[vId]=Array<OneD,NekDouble>(m_meshdim);
+ SpatialDomains::PointGeomSharedPtr p0 = m_segMap.find(Eid)->second->GetVertex(v);
+ p0->GetCoords(verts_coords[vId]);
+ ++vId;
+ }
+ }
+ centre=Array<OneD,NekDouble> (m_meshdim,0.);
+ int minId=-1;
+ for(int d=0;d<m_meshdim;++d)
+ {
+ double max=std::numeric_limits<float>::max();
+ for(int v=0;v<2*numEdges-1;++v)
+ {
+ double v_dit=fabs(verts_coords[v+1][d]-verts_coords[v][d]);
+ if(v_dit>TOLERENCE && v_dit<max)
+ {
+ max=v_dit;
+ minId=v;
+ }
+ }
+ centre[d]=0.5*(verts_coords[minId+1][d]+verts_coords[minId][d]);
+ }
+ }
+
+ ~HandleNekMesh(){}
+
+ };
+
+ }
+}
+
+#endif
diff --git a/library/LSIAC/HandleNekMesh1D.cpp b/library/LSIAC/HandleNekMesh1D.cpp
new file mode 100644
index 0000000000..097035b6b3
--- /dev/null
+++ b/library/LSIAC/HandleNekMesh1D.cpp
@@ -0,0 +1,186 @@
+#include "HandleNekMesh1D.h"
+
+#include <MultiRegions/DisContField1D.h>
+#include <MultiRegions/ContField1D.h>
+#include <SpatialDomains/MeshGraph1D.h>
+#include <cmath>
+/*
+HandleNekMesh1D::HandleNekMesh1D (const string meshFileName, const string fldFileName):
+HandleNekMesh(meshFileName,fldFileName)
+{
+ //LibUtilitites::SessionReader::CreateInstance
+
+}
+*/
+
+//!This function given range of tmin and tmax returns the element break points.
+/*
+ \param xcen_offset,ycen_offset,zcen_offset,direction,t_offsetmin t_offset_max
+ \param [out] xPos,yPos,zPos,tPos
+ This function makes few assumptions for simplicity.
+ -> This function does not gaurentee if all of breakpoints tmin and tmax are returned.
+ -> This function always includes tmin and tmax as break points while returning.
+ -> There is no significance to bool in this function. It always return true.
+ -> This function assumes all the seg element are non-curve elements.
+*/
+
+namespace Nektar
+ {
+ namespace LSIAC
+ {
+
+ bool HandleNekMesh1D::v_LoadMesh(string var)
+ {
+ SpatialDomains::ExpansionMap expansions = m_graph->GetExpansions();
+ // cout << "expansion size: " <<expansions.size() << endl;
+ m_expansions.push_back(MemoryManager<MultiRegions::DisContField1D>
+ ::AllocateSharedPtr(m_session, m_graph,var));
+ return true;
+ }
+
+ bool HandleNekMesh1D::v_LoadData( string filename, vector<string> &variables )
+ {
+ SpatialDomains::ExpansionMap expansions = m_graph->GetExpansions();
+ // cout << "expansion size: " <<expansions.size() << endl;
+ for (int i =0; i < variables.size(); i++)
+ {
+ m_expansions.push_back(MemoryManager<MultiRegions::DisContField1D>
+ ::AllocateSharedPtr(m_session, m_graph,variables[i] ));
+ }
+
+ std::vector<LibUtilities::FieldDefinitionsSharedPtr> rFieldDef;
+ std::vector<std::vector<NekDouble> > rFieldData;
+
+ Array<OneD,int> ElementGIDs(expansions.size());
+ SpatialDomains::ExpansionMap::const_iterator expIt;
+ int i=0;
+ for (expIt = expansions.begin(); expIt != expansions.end(); ++expIt)
+ {
+ ElementGIDs[i++] = expIt->second->m_geomShPtr->GetGlobalID();
+ }
+
+ Import( filename, rFieldDef, rFieldData,
+ LibUtilities::NullFieldMetaDataMap,ElementGIDs);
+ for(int i =0 ; i < rFieldDef.size() ; i++)
+ {
+ for (int e =0; e< variables.size(); e++)
+ {
+ m_expansions[e]->ExtractDataToCoeffs(rFieldDef[i], rFieldData[i],
+ variables[e], m_expansions[e]->UpdateCoeffs());
+ }
+ }
+
+ for ( int i =0; i < m_expansions.size(); i++)
+ {
+ m_expansions[i]->BwdTrans ( m_expansions[i]->GetCoeffs(),
+ m_expansions[i]->UpdatePhys());
+ }
+ return true;
+ }
+
+
+ // This function does not verify if tmin to tmax is properly given.
+ bool HandleNekMesh1D::v_GetBreakPts( const NekDouble xcen_offset,const NekDouble ycen_offset,
+ const NekDouble zcen_offset, Array<OneD,NekDouble> &direction, const NekDouble tmin,
+ const NekDouble tmax, vector<NekDouble> &xPos, vector<NekDouble> &yPos,
+ vector<NekDouble> &zPos, vector<NekDouble> &tPos )
+ {
+ // create a 1D geometry of the element.
+ NekDouble x,y,z,xmin,ymin,zmin,xmax,ymax,zmax;
+ xmin = xcen_offset+tmin*direction[0]-TOLERENCE; xmax = xcen_offset+tmax*direction[0]+TOLERENCE;
+ ymin = ycen_offset+tmin*direction[1]-TOLERENCE; ymax = ycen_offset+tmax*direction[1]+TOLERENCE;
+ zmin = zcen_offset+tmin*direction[2]-TOLERENCE; zmax = zcen_offset+tmax*direction[2]+TOLERENCE;
+
+ // Get all SegGeoms of the mesh.
+ // loop through all segGeoms and match segment to segment overlap.
+ xPos.clear(); yPos.clear();zPos.clear(); tPos.clear();
+ xPos.push_back(xmin+TOLERENCE); yPos.push_back(ymin+TOLERENCE); zPos.push_back(zmin+TOLERENCE); tPos.push_back(tmin);
+ SpatialDomains::PointGeomMap ptGM = m_graph->GetAllPointGeoms();
+ for( std::map<int,SpatialDomains::PointGeomSharedPtr>::iterator ptGM_it=ptGM.begin();
+ ptGM_it!=ptGM.end(); ++ptGM_it)
+ {
+ //cout << "Looping through points in mesh geometry" << endl;
+ ptGM_it->second->GetCoords(x,y,z);
+ //cout << "x: " << x<< "y: " << y << "z: " << z << endl;
+ switch(m_spacedim)
+ {
+ case 1:
+ if ( (xmin < x && xmax > x) )
+ {
+ cout << " pt in range 1d space" << endl;
+ if ((xmin + 2*TOLERENCE>x) || (xmax -2*TOLERENCE < x))
+ { // ignore it is on of the end points.
+ }else
+ { // Add the point between the interval.
+ xPos.push_back(x);
+ }
+ }
+ break;
+ case 2:
+ if ( (xmin < x && xmax > x) && (ymin < y && ymax>y) )
+ {
+ //cout << " pt in range 2d space" << endl;
+ if ( ((xmin + 2*TOLERENCE>x) || (xmax -2*TOLERENCE < x)) &&
+ ((ymin + 2*TOLERENCE>y) || (ymax -2*TOLERENCE < y)) )
+ { // ignore it is on of the end points.
+ }else
+ { // Add the point between the interval.
+ xPos.push_back(x); yPos.push_back(y);
+ if(std::abs(direction[0]) > TOLERENCE)
+ {
+ tPos.push_back( (x-xcen_offset)/direction[0] ) ;
+ }else{
+ tPos.push_back( (y-ycen_offset)/direction[0] ) ;
+ }
+ }
+ }
+ break;
+ case 3:
+ if ( (xmin < x && xmax > x) && (ymin < y && ymax>y) && (zmin<z && zmax>z) )
+ {
+ cout << " pt in range 3d space" << endl;
+ if ( ((xmin + 2*TOLERENCE>x) || (xmax -2*TOLERENCE < x))
+ &&((ymin + 2*TOLERENCE>y) || (ymax -2*TOLERENCE < y))
+ && ((zmin + 2*TOLERENCE>z) || (zmax -2*TOLERENCE < z)) )
+ { // ignore it is on of the end points.
+ }else
+ { // Add the point between the interval.
+ xPos.push_back(x); yPos.push_back(y);zPos.push_back(z);
+ if(std::abs(direction[0]) > TOLERENCE)
+ {
+ tPos.push_back( (x-xcen_offset)/direction[0] ) ;
+ }else if(std::abs(direction[1]) > TOLERENCE){
+ tPos.push_back( (y-ycen_offset)/direction[1] ) ;
+ }else{
+ tPos.push_back( (z-zcen_offset)/direction[2] ) ;
+ }
+ }
+ }
+ break;
+ default:
+ cout << " assert here. Should come here. " << endl;
+ break;
+ }
+ }
+ xPos.push_back(xmax-TOLERENCE); yPos.push_back(ymax-TOLERENCE); zPos.push_back(zmax-TOLERENCE); tPos.push_back(tmax);
+
+ //Also check if creation of geometry works properly.
+ // loop through the mesh elments and check the geometry is present.
+ // if mesh element is present
+ // check for overlap and add vector list of x,y,z,t Pos
+ // order t Pos and return.
+ return true;
+ }
+
+
+
+
+ int HandleNekMesh1D::v_GetExpansionIndexUsingRTree(Array<OneD,NekDouble> locCoord)
+ {
+ return m_expansions[0]->GetExpIndex(locCoord,TOLERENCE);
+ }
+
+
+
+ }
+ }
diff --git a/library/LSIAC/HandleNekMesh1D.h b/library/LSIAC/HandleNekMesh1D.h
new file mode 100644
index 0000000000..fb1a91f104
--- /dev/null
+++ b/library/LSIAC/HandleNekMesh1D.h
@@ -0,0 +1,39 @@
+#ifndef HANDLENEKMESH1D_H
+#define HANDLENEKMESH1D_H
+
+#include "HandleNekMesh.h"
+/// Handles Nektar 1D meshes.
+/**
+*/
+
+namespace Nektar
+ {
+ namespace LSIAC
+ {
+ class HandleNekMesh1D;
+ typedef boost::shared_ptr<HandleNekMesh1D> HandleNekMesh1DSharedPtr;
+ class HandleNekMesh1D: public HandleNekMesh
+ {
+
+ public:
+ HandleNekMesh1D( LibUtilities::SessionReaderSharedPtr sessionPtr):HandleNekMesh(sessionPtr)
+
+ {
+ m_useRTree=false;
+ }
+
+ protected:
+ virtual bool v_GetBreakPts( const NekDouble xcen_offset,const NekDouble ycen_offset,
+ const NekDouble zcen_offset, Array<OneD,NekDouble> &direction, const NekDouble t_offset_min,
+ const NekDouble t_offset_max, vector<NekDouble> &xPos, vector<NekDouble> &yPos,
+ vector<NekDouble> &zPos, vector<NekDouble> &tPos );
+ virtual bool v_LoadData(string Filename, vector<string> &variables);
+ virtual bool v_LoadMesh(string var);
+ virtual int v_GetExpansionIndexUsingRTree(Array<OneD,NekDouble> locCoord);
+
+ };
+
+ }
+ }
+
+#endif
diff --git a/library/LSIAC/HandleNekMesh2D.cpp b/library/LSIAC/HandleNekMesh2D.cpp
new file mode 100644
index 0000000000..2f17b6097c
--- /dev/null
+++ b/library/LSIAC/HandleNekMesh2D.cpp
@@ -0,0 +1,159 @@
+#include "HandleNekMesh2D.h"
+#include <MultiRegions/DisContField2D.h>
+#include <MultiRegions/ContField2D.h>
+#include <SpatialDomains/MeshGraph2D.h>
+#include <cmath>
+#include <iomanip> // std::setprecision
+#include <limits>
+namespace Nektar
+{
+ namespace LSIAC
+ {
+ bool HandleNekMesh2D::v_LoadMesh(string var)
+ {
+ SpatialDomains::ExpansionMap expansions = m_graph->GetExpansions();
+ m_expansions.push_back(MemoryManager<MultiRegions::DisContField2D>
+ ::AllocateSharedPtr(m_session, m_graph,var));
+ if(m_useRTree)
+ LoadExpListIntoRTree();
+ return true;
+ }
+ bool HandleNekMesh2D::v_LoadData( string filename, vector<string> &variables )
+ {
+ SpatialDomains::ExpansionMap expansions = m_graph->GetExpansions();
+ for (int i =0; i < variables.size(); i++)
+ {
+ m_expansions.push_back(MemoryManager<MultiRegions::DisContField2D>
+ ::AllocateSharedPtr(m_session, m_graph,variables[i] ));
+ }
+ if(m_useRTree)
+ LoadExpListIntoRTree();
+ std::vector<LibUtilities::FieldDefinitionsSharedPtr> rFieldDef;
+ std::vector<std::vector<NekDouble> > rFieldData;
+ Array<OneD,int> ElementGIDs(expansions.size());
+ SpatialDomains::ExpansionMap::const_iterator expIt;
+ int i=0;
+ for (expIt = expansions.begin(); expIt != expansions.end(); ++expIt)
+ {
+ ElementGIDs[i++] = expIt->second->m_geomShPtr->GetGlobalID();
+ }
+ Import( filename, rFieldDef, rFieldData,
+ LibUtilities::NullFieldMetaDataMap,ElementGIDs);
+ for(int i =0 ; i < rFieldDef.size() ; i++)
+ {
+ for (int e =0; e< variables.size(); e++)
+ {
+ m_expansions[e]->ExtractDataToCoeffs(rFieldDef[i], rFieldData[i],
+ variables[e], m_expansions[e]->UpdateCoeffs());
+ }
+ }
+ for ( int i =0; i < m_expansions.size(); i++)
+ {
+ m_expansions[i]->BwdTrans ( m_expansions[i]->GetCoeffs(),
+ m_expansions[i]->UpdatePhys());
+ }
+ return true;
+ }
+
+
+
+
+
+ bool HandleNekMesh2D::v_GetBreakPts( const Array<OneD,NekDouble> point_offset,Array<OneD,NekDouble> &direction, const NekDouble tmin,
+ const NekDouble tmax, vector<NekDouble> &tPos )
+ {
+ return IntersectWithEdges( tPos,point_offset, direction,tmin,tmax);
+ }
+ bool HandleNekMesh2D::v_intersect(
+ Array<OneD,NekDouble> &p1, Array<OneD,NekDouble> &p2,
+ Array<OneD,NekDouble> &q1, Array<OneD,NekDouble> &q2,
+ Array<OneD,NekDouble>&i1, vector<NekDouble>&i2 )
+ {
+ int three=3;
+ Array<OneD,NekDouble> threeDp1(three,0.),threeDp2(three,0.),threeDq1(three,0.),threeDq2(three,0.);
+ i1=Array<OneD,NekDouble> (three,0.0);
+ for(int d=0;d<p1.num_elements();++d)
+ {
+ threeDp1[d]=p1[d];
+ threeDp2[d]=p2[d];
+ threeDq1[d]=q1[d];
+ threeDq2[d]=q2[d];
+ }
+ return(threeD_intersect(threeDp1,threeDp2,threeDq1,threeDq2,i1,i2));
+ }
+
+ // Mostly funtions using RTree from here.
+
+ int HandleNekMesh2D::v_GetExpansionIndexUsingRTree( const Array<OneD,NekDouble> &point) const
+ {
+ std::vector<RValue> result_s;
+ m_rtree.query(Boostgi::nearest(RPoint(point[0],point[1]),1),std::back_inserter(result_s));
+ assert( result_s.size() ==1 && "no element found. Something is cleraly wrong");
+ // Can write better code using within.
+ RValue v = result_s[0];
+ return boost::get<1>(v); // <2> is global ID.
+ }
+
+ void HandleNekMesh2D::GetBoundingOfElement(SpatialDomains::GeometrySharedPtr elGeom, RBox &b)
+ {
+ int dim= 2;
+ Array<OneD,NekDouble> vertex_coord(dim),MINP(dim,std::numeric_limits<NekDouble>::max()),MAXP(dim,std::numeric_limits<NekDouble>::min());
+ int numPts = elGeom->GetNumVerts();
+ for (int v =0; v<numPts;v++)
+ {
+ elGeom->GetVertex(v)->GetCoords(vertex_coord);
+ for(int d=0;d<dim;++d)
+ {
+ MINP[d] = std::min(MINP[d],vertex_coord[d]);
+ MAXP[d] = std::max(MAXP[d],vertex_coord[d]);
+ }
+ }
+ Boostg::set<Boostg::min_corner, 0> (b, MINP[0]-TOLERENCE_MESH_COMP);
+ Boostg::set<Boostg::min_corner, 1> (b, MINP[1]-TOLERENCE_MESH_COMP);
+ Boostg::set<Boostg::max_corner, 0> (b, MAXP[0]+TOLERENCE_MESH_COMP);
+ Boostg::set<Boostg::max_corner, 1> (b, MAXP[1]+TOLERENCE_MESH_COMP);
+ return ;
+ }
+
+ void HandleNekMesh2D::LoadExpListIntoRTree()
+ {
+ // check if expansions are already loaded.
+ assert( m_expansions.size()>0 && "should have loaded atleast one expansion");
+ MultiRegions::ExpListSharedPtr expList = m_expansions[0];
+ int expSize = expList->GetExpSize();
+ for (int e=0; e< expSize; ++e)
+ {
+ SpatialDomains::GeometrySharedPtr geom = expList->GetExp(e)->GetGeom();
+ int gid = geom->GetGlobalID();
+ RBox b;
+ GetBoundingOfElement( geom, b);
+ m_rtree.insert(boost::make_tuple( b,e,gid ) );
+ }
+ m_useRTree = true;
+ }
+ void HandleNekMesh2D::IntersectWithBoxUsingRTree(Array<OneD,NekDouble> &minCorner,Array<OneD,NekDouble> maxCorner,
+ vector<int> &elIds, vector<int> &glIds)
+ {
+ RBox b;
+ Boostg::set<Boostg::min_corner, 0> (b, minCorner[0]-TOLERENCE_MESH_COMP);
+ Boostg::set<Boostg::min_corner, 1> (b, minCorner[1]-TOLERENCE_MESH_COMP);
+ Boostg::set<Boostg::max_corner, 0> (b, maxCorner[0]+TOLERENCE_MESH_COMP);
+ Boostg::set<Boostg::max_corner, 1> (b, maxCorner[1]+TOLERENCE_MESH_COMP);
+ //rtree.query()
+ std::vector<RValue> result_s;
+ m_rtree.query( Boostgi::intersects(b),std::back_inserter(result_s) );
+ elIds.clear(); glIds.clear();
+ //assert( false && "Not done developing yet :( ");
+ BOOST_FOREACH( RValue const& v, result_s)
+ {
+ int eId = boost::get<1>(v);
+ int gId = boost::get<2>(v);
+ elIds.push_back(eId);
+ glIds.push_back(gId);
+ }
+ }
+ }
+}
+
+
+
diff --git a/library/LSIAC/HandleNekMesh2D.h b/library/LSIAC/HandleNekMesh2D.h
new file mode 100644
index 0000000000..528f417917
--- /dev/null
+++ b/library/LSIAC/HandleNekMesh2D.h
@@ -0,0 +1,56 @@
+#ifndef HANDLENEKMESH2D_H
+#define HANDLENEKMESH2D_H
+
+#include "HandleNekMesh.h"
+#include <MultiRegions/ExpList.h>
+#include <MultiRegions/DisContField2D.h>
+#include<LocalRegions/Expansion1D.h>
+#include<LocalRegions/Expansion2D.h>
+#include<SpatialDomains/Conditions.h>
+#include <boost/geometry.hpp>
+#include <boost/geometry/geometries/point.hpp>
+#include <boost/geometry/geometries/box.hpp>
+#include <boost/geometry/index/rtree.hpp>
+#include <boost/foreach.hpp>
+#include <boost/any.hpp>
+
+namespace Nektar
+{
+ namespace LSIAC
+ {
+ class HandleNekMesh2D;
+ typedef boost::shared_ptr<HandleNekMesh2D> HandleNekMesh2DSharedPtr;
+ class HandleNekMesh2D: public HandleNekMesh
+ {
+
+ private:
+ protected:
+
+ public:
+ HandleNekMesh2D( LibUtilities::SessionReaderSharedPtr sessionPtr,bool useRTree = false):HandleNekMesh(sessionPtr)
+ {
+ m_useRTree=useRTree;
+ cout<<"RTREES ? "<<boolalpha<<m_useRTree<<endl;
+ }
+ protected:
+ RTree m_rtree;
+ virtual bool v_LoadMesh(string var);
+ virtual bool v_LoadData(string Filename, vector<string> &variables);
+ virtual bool v_GetBreakPts( const Array<OneD,NekDouble> point_offset,Array<OneD,NekDouble> &direction, const NekDouble tmin,
+ const NekDouble tmax, vector<NekDouble> &tPos);
+ virtual bool v_intersect(
+ Array<OneD,NekDouble> &p1, Array<OneD,NekDouble> &p2,
+ Array<OneD,NekDouble> &q1, Array<OneD,NekDouble> &q2,
+ Array<OneD,NekDouble>&i1, vector<NekDouble>&i2 );
+ virtual int v_GetExpansionIndexUsingRTree( const Array<OneD,NekDouble> &point) const;
+ void LoadExpListIntoRTree();
+ void GetBoundingOfElement(SpatialDomains::GeometrySharedPtr elGeom, RBox &b);
+ void IntersectWithBoxUsingRTree(Array<OneD,NekDouble> &minCorner,Array<OneD,NekDouble> maxCorner,
+ vector<int> &elIds, vector<int> &glIds);
+
+
+ };
+
+ }
+}
+#endif
diff --git a/library/LSIAC/HandleNekMesh3D.cpp b/library/LSIAC/HandleNekMesh3D.cpp
new file mode 100644
index 0000000000..50671d9c44
--- /dev/null
+++ b/library/LSIAC/HandleNekMesh3D.cpp
@@ -0,0 +1,444 @@
+#include "HandleNekMesh3D.h"
+
+#include <MultiRegions/DisContField3D.h>
+#include <MultiRegions/ContField3D.h>
+#include <SpatialDomains/MeshGraph3D.h>
+#include <cmath>
+#include <boost/timer.hpp>
+
+namespace Nektar
+{
+ namespace LSIAC
+ {
+ bool HandleNekMesh3D::v_LoadMesh(string var)
+ {
+ SpatialDomains::ExpansionMap expansions = m_graph->GetExpansions();
+ // cout << "expansion size: " <<expansions.size() << endl;
+ m_expansions.push_back(MemoryManager<MultiRegions::DisContField3D>
+ ::AllocateSharedPtr(m_session, m_graph,var));
+ if(m_useRTree)
+ LoadExpListIntoRTree();
+ return true;
+ }
+
+ bool HandleNekMesh3D::v_LoadData( string filename, vector<string> &variables )
+ {
+ SpatialDomains::ExpansionMap expansions = m_graph->GetExpansions();
+ // cout << "expansion size: " <<expansions.size() << endl;
+ for (int i =0; i < variables.size(); i++)
+ {
+ m_expansions.push_back(MemoryManager<MultiRegions::DisContField3D>
+ ::AllocateSharedPtr(m_session, m_graph,variables[i] ));
+ }
+
+ std::vector<LibUtilities::FieldDefinitionsSharedPtr> rFieldDef;
+ std::vector<std::vector<NekDouble> > rFieldData;
+
+ Array<OneD,int> ElementGIDs(expansions.size());
+ SpatialDomains::ExpansionMap::const_iterator expIt;
+ int i=0;
+ for (expIt = expansions.begin(); expIt != expansions.end(); ++expIt)
+ {
+ ElementGIDs[i++] = expIt->second->m_geomShPtr->GetGlobalID();
+ }
+
+ Import( filename, rFieldDef, rFieldData,
+ LibUtilities::NullFieldMetaDataMap,ElementGIDs);
+ for(int i =0 ; i < rFieldDef.size() ; i++)
+ {
+ for (int e =0; e< variables.size(); e++)
+ {
+ m_expansions[e]->ExtractDataToCoeffs(rFieldDef[i], rFieldData[i],
+ variables[e], m_expansions[e]->UpdateCoeffs());
+ }
+ }
+ for ( int i =0; i < m_expansions.size(); i++)
+ {
+ m_expansions[i]->BwdTrans ( m_expansions[i]->GetCoeffs(),
+ m_expansions[i]->UpdatePhys());
+ m_Arrays.push_back(m_expansions[i]->GetPhys());
+ }
+ /*
+ // want to check if the file was loaded successfully.
+ cout << "variables.size: " << variables.size()<< endl;
+ for ( int i =0; i < variables.size(); i++)
+ {
+ cout << variables[i] << endl;
+ }
+ Array<OneD,NekDouble> uExp_Coeffs = m_expansions[0]->GetCoeffs();
+ Array<OneD,NekDouble> uExp_Phys = m_expansions[0]->GetPhys();
+
+ cout << "coefficients" << endl;
+ for ( auto c : uExp_Coeffs)
+ {
+ cout << c <<"\t" ;
+ }
+ cout << endl;
+ cout << "Phys" << endl;
+ for (auto c: uExp_Phys)
+ {
+ cout << c << "\t";
+ }
+ cout << endl;
+ */
+ return true;
+ }
+
+
+ // This function does not verify if tmin to tmax is properly given.
+ bool HandleNekMesh3D::v_GetBreakPts( const Array<OneD,NekDouble> point,Array<OneD,NekDouble> &direction, const NekDouble tmin,
+ const NekDouble tmax, vector<NekDouble> &tPos )
+ {
+
+ //IntersectWithEdges ( m_segMap, m_pointMap, direction, point, tmin, tmax, tPos);
+ if (m_useRTree)
+ return IntersectWithFacesUsingRTree(direction, point, tmin, tmax, tPos);
+ else
+ return IntersectWithFaces (direction, point, tmin, tmax, tPos);
+ }
+ void HandleNekMesh3D::FindElementIDForLineSegs(const vector<NekDouble> &tvalT,
+ const Array<OneD,NekDouble> &point,
+ const Array<OneD,NekDouble> &dir,
+ const SpatialDomains::MeshGraphSharedPtr mesh_graph,
+ vector<int> &EIDs )
+ {
+ Array<OneD,NekDouble> temp(3);
+ // for every point iteration
+ for ( int i=0 ; i < tvalT.size()-1; i++ )
+ {
+ temp[0] = point[0] + 0.5*(tvalT[i]+ tvalT[i+1])*dir[0];
+ temp[1] = point[1] + 0.5*(tvalT[i]+ tvalT[i+1])*dir[1];
+ temp[2] = point[2] + 0.5*(tvalT[i]+ tvalT[i+1])*dir[2];
+ }
+ assert(false &&"Not Completed Coding phase");
+ }
+
+ bool HandleNekMesh3D::IntersectWithFaces( const Array<OneD,NekDouble> &dir,
+ const Array<OneD,NekDouble> &point, const NekDouble t1, const NekDouble t2,
+ vector<NekDouble> &tvalT )
+ {
+ tvalT.clear();
+ // Go through all the Triangles;
+ // Go through all the quad faces;
+ for (int t =0; t< m_triMap.size(); t++)
+ {
+ SpatialDomains::TriGeomSharedPtr triPtr = m_triMap.find(t)->second; //->second;
+ IntersectLineSegWithFace( triPtr, dir, point, t1, t2, tvalT);
+ }
+ for (int q=0; q< m_quadMap.size(); q++)
+ {
+ SpatialDomains::QuadGeomSharedPtr quadPtr = m_quadMap.find(q)->second;
+ IntersectLineSegWithFace( quadPtr, dir, point, t1, t2, tvalT);
+ }
+
+ // sort and keep them unique
+ tvalT.push_back(t1);
+ tvalT.push_back(t2);
+ std::sort(tvalT.begin(),tvalT.end());
+ std::vector<NekDouble>::iterator ittt;
+ ittt = std::unique(tvalT.begin(),tvalT.end(),compare2NekDoublesH);
+ tvalT.resize( std::distance(tvalT.begin(),ittt));
+ return true;
+ // End points are not added if not in mesh.
+ }
+
+ void HandleNekMesh3D::PlaneEquationOfFace( const SpatialDomains::GeometrySharedPtr geomEl,
+ NekDouble &a, NekDouble &b, NekDouble &c, NekDouble &d)
+ {
+ int numVert = geomEl->GetNumVerts();
+ assert( numVert >= 3 && "Should atleast be a triangle" );
+ Array<OneD,NekDouble> P0(3,0.0),P1(3,0.0),P2(3,0.0);
+ SpatialDomains::PointGeomSharedPtr psh0 = geomEl->GetVertex(0);
+ SpatialDomains::PointGeomSharedPtr psh1 = geomEl->GetVertex(1);
+ SpatialDomains::PointGeomSharedPtr psh2 = geomEl->GetVertex(2);
+ psh0->GetCoords(P0); psh1->GetCoords(P1); psh2->GetCoords(P2);
+ // normal calculation a,b,c
+ vector<NekDouble> v1(3,0.0),v2(3,0.0);
+ v1[0] = P1[0]-P0[0]; v1[1] = P1[1]-P0[1]; v1[2] = P1[2]-P0[2];
+ v2[0] = P2[0]-P0[0]; v2[1] = P2[1]-P0[1]; v2[2] = P2[2]-P0[2];
+ a = v1[1]*v2[2] - v1[2]*v2[1];
+ b = v1[2]*v2[0] - v1[0]*v2[2];
+ c = v1[0]*v2[1] - v1[1]*v2[0];
+ d = -1.0*( a*P0[0]+b*P0[1] + c*P0[2] );
+ return;
+ }
+
+ void HandleNekMesh3D::IntersectLineSegWithFace( const SpatialDomains::GeometrySharedPtr geomEl, const Array<OneD,NekDouble> &dir,
+ const Array<OneD,NekDouble> &point, const NekDouble t1, const NekDouble t2,
+ vector<NekDouble> &tvalT )
+ {
+ // Input is assumed to be face.
+ // Form a plane equation interms of abcd;
+ //Get plane equation of face.
+ //tvalT.clear(); // Assuming tvalT is collecting all the intersection.
+ int three = 3;
+ NekDouble a,b,c,d;
+ PlaneEquationOfFace( geomEl, a,b,c,d);
+ Array<OneD,NekDouble> p1(three),p2(three),i1(three);
+ vector<NekDouble> i2(three);
+ for(int d=0;d<three;++d)
+ {
+ p1[d] = point[d]+ t1*dir[d];
+ p2[d] = point[d]+ t2*dir[d];
+ }
+ // Point and direction are point an ddir.
+ NekDouble Vd = a*dir[0] + b*dir[1] + c*dir[2];
+ NekDouble Vn = a*point[0] + b*point[1] + c*point[2] + d;
+ //case 1.
+ if ( ( (std::abs(Vd) > TOLERENCE) && (std::abs(Vn) > TOLERENCE) ) ||
+ ( (std::abs(Vd) > TOLERENCE) && (std::abs(Vn) < TOLERENCE) ) )
+ {
+ // calcualte point.
+ NekDouble t = -1.0* Vn/Vd;
+ // check if point is between t1 and t2.
+ if (t > t1-TOLERENCE && t<t2+TOLERENCE)
+ {
+ // Form physCoord and check using ContainsPoint if it is present.
+ Array<OneD,NekDouble> gloC(3,0.0);
+ gloC[0] = point[0] + t*dir[0];
+ gloC[1] = point[1] + t*dir[1];
+ gloC[2] = point[2] + t*dir[2];
+ // Then check if the point is on the face.
+ if ( geomEl->ContainsPoint( gloC, TOLERENCE))
+ { // point on face. Add to tvalT and exit with true.
+ tvalT.push_back(t);
+ //cout << "Check point out 1" << endl;
+ return;
+ }else
+ {
+ //cout << "Check point out 2" << endl;
+ return ;
+ }
+ }
+ }else if ( (std::abs(Vd) < TOLERENCE) && (std::abs(Vn) > TOLERENCE) )
+ {
+ //cout << "Check point out 3" << endl;
+ return ;
+ // the line segment is parallel to plane but present at an offset.
+ }else if ( (std::abs(Vd) < TOLERENCE) && (std::abs(Vn) < TOLERENCE) )
+ {
+ // go through all the edges of the element and check for intersections.
+ // Accumulate all the intersections.
+ // Do end point checks. Normally end points are added at end. So not needed.
+ int numE = geomEl->GetNumEdges();
+ int dirID = -1;
+ for (int i =0; i<3; i++)
+ {
+ if (std::abs(dir[i]) >TOLERENCE)
+ {
+ dirID = i;
+ break;
+ }
+ }
+ if (dirID <0)
+ {
+ cout << "something is wroing with the direction" << endl;
+ }
+ assert( dirID >=0 && "Direction is not right something is up ");
+
+ for (int e =0; e < numE; e++)
+ {
+ int Eid = geomEl->GetEid(e);
+ SpatialDomains::SegGeomSharedPtr segPtr = m_segMap.find(Eid)->second; //->second;
+ Array<OneD,NekDouble> q1(3), q2(3);
+ m_pointMap.find( segPtr->GetVid(0) )->second->GetCoords(q1);
+ m_pointMap.find( segPtr->GetVid(1) )->second->GetCoords(q2);
+ if ( intersect(p1,p2,q1,q2,i1,i2))
+ {
+ //nbc.printNekArray(i1,0);
+ NekDouble t =0 ;
+ t = (i1[dirID]-point[dirID])/dir[dirID];
+ tvalT.push_back(t);
+ if(i2.size() > 0)
+ {
+ // nbc.printNekArray(i2,0);
+ NekDouble t =0 ;
+ t = (i2[dirID]-point[dirID])/dir[dirID];
+ tvalT.push_back(t);
+ }
+ }
+ }
+ // point is in plane of face. Need to work with all the edges seperatly.
+ return;
+ }
+ }
+
+
+ void HandleNekMesh3D::BoundingBoxOfLineSeg( const Array<OneD,NekDouble> &dir,
+ const Array<OneD,NekDouble> &pt, const NekDouble t1, const NekDouble t2, RBox &b )
+ {
+ int dim=pt.num_elements();
+ if(dim != dir.num_elements())
+ return;
+ Array<OneD,NekDouble> pl(dim),pr(dim);
+ for(int d=0;d<dim; ++d)
+ {
+ pl[d] = pt[d] + dir[d]*t1;
+ pr[d] = pt[d] + dir[d]*t2;
+ }
+ Boostg::set<Boostg::min_corner, 0> (b, std::min(pl[0],pr[0]));
+ Boostg::set<Boostg::min_corner, 1> (b, std::min(pl[1],pr[1]));
+ Boostg::set<Boostg::min_corner, 2> (b, std::min(pl[2],pr[2]));
+ Boostg::set<Boostg::max_corner, 0> (b, std::max(pl[0],pr[0]));
+ Boostg::set<Boostg::max_corner, 1> (b, std::max(pl[1],pr[1]));
+ Boostg::set<Boostg::max_corner, 2> (b, std::max(pl[2],pr[2]));
+ }
+ /*
+// used with Boost.Geometry R-tree
+struct MySearchCallback2
+{
+ template <typename Value>
+ void operator()(Value const& v)
+ {
+ res.push_back(v.second);
+ }
+};
+*/
+
+ bool HandleNekMesh3D::IntersectWithFacesUsingRTree( const Array<OneD,NekDouble> &dir,
+ const Array<OneD,NekDouble> &pt,const NekDouble t1,
+ const NekDouble t2, vector<NekDouble> &tvalT )
+ {
+ RBox b;
+ BoundingBoxOfLineSeg( dir, pt, t1, t2,b);
+ vector<unsigned> res;
+ MySearchCallback2 callback(res);
+ m_rtree.query( Boostgi::intersects(b),boost::make_function_output_iterator(callback) );
+
+ BOOST_FOREACH( unsigned const &eId, res)
+ {
+ SpatialDomains::GeometrySharedPtr geomSPtr = m_expansions[0]->GetExp(eId)->GetGeom();
+ if (geomSPtr->GetShapeType() == LibUtilities::eHexahedron)
+ {
+ for (int f =0; f < geomSPtr->GetNumFaces(); ++f)
+ {
+ int fid = geomSPtr->GetFid(f);
+ SpatialDomains::QuadGeomSharedPtr quadPtr = m_quadMap.find(fid)->second;
+ IntersectLineSegWithFace( quadPtr, dir, pt, t1, t2, tvalT);
+ }
+ }else if (geomSPtr->GetShapeType() == LibUtilities::eTetrahedron)
+ {
+ for (int f =0; f < geomSPtr->GetNumFaces(); ++f)
+ {
+ int fid = geomSPtr->GetFid(f);
+ SpatialDomains::TriGeomSharedPtr triPtr = m_triMap.find(fid)->second;
+ IntersectLineSegWithFace( triPtr, dir, pt, t1, t2, tvalT);
+ }
+
+ }else
+ {
+ assert( false && "Shape not accounted for" );
+ }
+ }
+ tvalT.push_back(t1);
+ tvalT.push_back(t2);
+ std::sort(tvalT.begin(),tvalT.end());
+ std::vector<NekDouble>::iterator ittt;
+ ittt = std::unique(tvalT.begin(),tvalT.end(),compare2NekDoublesH);
+ tvalT.resize( std::distance(tvalT.begin(),ittt));
+ return true;
+ }
+
+ /*
+int HandleNekMesh3D::GetExpansionIndexUsingRTree( const Array<OneD,NekDouble> &point) const
+{
+ std::vector<RValue> result_s;
+ m_rtree.query(Boostgi::nearest(RPoint(point[0],point[1],point[2]),1),std::back_inserter(result_s));
+ assert( result_s.size() ==1 && "no element found. Something is cleraly wrong");
+ // Can write better code using within.
+ RValue v = result_s[0];
+ return std::get<1>(v); // <2> is global ID.
+}
+*/
+
+ int HandleNekMesh3D::v_GetExpansionIndexUsingRTree( const Array<OneD,NekDouble> &point)
+ {
+ int returnEid = -1;
+ RBox b;
+ //BoundingBoxOfLineSeg( dir, pt, t1, t2,b);
+ Boostg::set<Boostg::min_corner, 0> (b, point[0]-TOLERENCE);
+ Boostg::set<Boostg::min_corner, 1> (b, point[1]-TOLERENCE);
+ Boostg::set<Boostg::min_corner, 2> (b, point[2]-TOLERENCE);
+ Boostg::set<Boostg::max_corner, 0> (b, point[0]+TOLERENCE);
+ Boostg::set<Boostg::max_corner, 1> (b, point[1]+TOLERENCE);
+ Boostg::set<Boostg::max_corner, 2> (b, point[2]+TOLERENCE);
+ vector<unsigned> res;
+ MySearchCallback2 callback(res);
+ boost::timer t;
+ m_rtree.query( Boostgi::intersects(b),boost::make_function_output_iterator(callback) );
+ //double s = t.elapsed();
+ BOOST_FOREACH( unsigned const &eId, res)
+ {
+ if( m_expansions[0]->GetExp(eId)->GetGeom()->ContainsPoint(point,TOLERENCE) )
+ {
+ returnEid = eId;
+ break;
+ }
+ }
+ return returnEid;
+ }
+ void HandleNekMesh3D::IntersectWithBoxUsingRTree(Array<OneD,NekDouble> &minCorner,Array<OneD,NekDouble> maxCorner,
+ vector<int> &elIds, vector<int> &glIds)
+ {
+ RBox b;
+ Boostg::set<Boostg::min_corner, 0> (b, minCorner[0]);
+ Boostg::set<Boostg::min_corner, 1> (b, minCorner[1]);
+ Boostg::set<Boostg::min_corner, 2> (b, minCorner[2]);
+ Boostg::set<Boostg::max_corner, 0> (b, maxCorner[0]);
+ Boostg::set<Boostg::max_corner, 1> (b, maxCorner[1]);
+ Boostg::set<Boostg::min_corner, 2> (b, minCorner[2]);
+ //rtree.query()
+ std::vector<RValue> result_s;
+ m_rtree.query( Boostgi::intersects(b),std::back_inserter(result_s) );
+ elIds.clear(); glIds.clear();
+ //assert( false && "Not done developing yet :( ");
+ BOOST_FOREACH( RValue const& v, result_s)
+ {
+ int eId = boost::get<1>(v);
+ int gId = boost::get<2>(v);
+ elIds.push_back(eId);
+ glIds.push_back(gId);
+ }
+ }
+ void HandleNekMesh3D::GetBoundingOfElement(SpatialDomains::GeometrySharedPtr elGeom, RBox &b)
+ {
+ int dim= 3;
+ Array<OneD,NekDouble> vertex_coord(dim),MINP(dim,std::numeric_limits<NekDouble>::max()),MAXP(dim,std::numeric_limits<NekDouble>::min());
+ int numPts = elGeom->GetNumVerts();
+ for (int v =0; v<numPts;v++)
+ {
+ elGeom->GetVertex(v)->GetCoords(vertex_coord);
+ for(int d=0;d<dim;++d)
+ {
+ MINP[d] = std::min(MINP[d],vertex_coord[d]);
+ MAXP[d] = std::max(MAXP[d],vertex_coord[d]);
+ }
+ }
+ Boostg::set<Boostg::min_corner, 0> (b, MINP[0]-TOLERENCE_MESH_COMP);
+ Boostg::set<Boostg::min_corner, 1> (b, MINP[1]-TOLERENCE_MESH_COMP);
+ Boostg::set<Boostg::min_corner, 2> (b, MINP[2]-TOLERENCE_MESH_COMP);
+ Boostg::set<Boostg::max_corner, 0> (b, MAXP[0]+TOLERENCE_MESH_COMP);
+ Boostg::set<Boostg::max_corner, 1> (b, MAXP[1]+TOLERENCE_MESH_COMP);
+ Boostg::set<Boostg::max_corner, 2> (b, MAXP[2]+TOLERENCE_MESH_COMP);
+ return ;
+ }
+
+ void HandleNekMesh3D::LoadExpListIntoRTree()
+ {
+ // check if expansions are already loaded.
+ assert( m_expansions.size()>0 && "should have loaded atleast one expansion");
+ MultiRegions::ExpListSharedPtr expList = m_expansions[0];
+ int expSize = expList->GetExpSize();
+ for (int e=0; e< expSize; ++e)
+ {
+ SpatialDomains::GeometrySharedPtr geom = expList->GetExp(e)->GetGeom();
+ int gid = geom->GetGlobalID();
+ RBox b;
+ GetBoundingOfElement( geom, b);
+ m_rtree.insert(boost::make_tuple( b,e,gid ) );
+ }
+ m_useRTree = true;
+ }
+ }
+}
+
diff --git a/library/LSIAC/HandleNekMesh3D.h b/library/LSIAC/HandleNekMesh3D.h
new file mode 100644
index 0000000000..e99bd5938d
--- /dev/null
+++ b/library/LSIAC/HandleNekMesh3D.h
@@ -0,0 +1,94 @@
+#ifndef HANDLENEKMESH3D_H
+#define HANDLENEKMESH3D_H
+
+#include "HandleNekMesh.h"
+
+namespace Nektar
+{
+ namespace LSIAC
+ {
+
+ struct MySearchCallback2
+ {
+ MySearchCallback2(vector<unsigned> &res)
+ :m_res(&res)
+ {}
+
+ template <typename Value>
+ void operator()(Value const& v)
+ {
+ m_res->push_back(boost::get<1>(v));
+ }
+
+ vector<unsigned>* m_res;
+
+ };
+ class HandleNekMesh3D;
+ typedef boost::shared_ptr<HandleNekMesh3D> HandleNekMesh3DSharedPtr;
+ class HandleNekMesh3D: public HandleNekMesh
+ {
+
+ private:
+ // static vector<unsigned> m_res;
+ protected:
+ SpatialDomains::TriGeomMap m_triMap;
+ SpatialDomains::QuadGeomMap m_quadMap;
+ public:
+ RTree m_rtree;
+ HandleNekMesh3D( LibUtilities::SessionReaderSharedPtr sessionPtr,bool useRTree = true):HandleNekMesh(sessionPtr)
+ {
+ m_useRTree=useRTree; // The default is to use Nektar ID scan. Change to true for Rtrees
+ m_triMap = m_graph->GetAllTriGeoms();
+ m_quadMap = m_graph->GetAllQuadGeoms();
+ cout<<"RTREES ? "<<boolalpha<<m_useRTree<<endl;
+ }
+ vector< Array<OneD,NekDouble> > m_Arrays;
+ // function using RTree
+
+ protected:
+ virtual bool v_GetBreakPts( const Array<OneD,NekDouble> point,Array<OneD,NekDouble> &direction, const NekDouble tmin, const NekDouble tmax, vector<NekDouble> &tPos );
+ virtual bool v_LoadData(string Filename, vector<string> &variables);
+ virtual bool v_LoadMesh(string var);
+ private:
+
+
+ bool IntersectWithFaces( const Array<OneD,NekDouble> &dir, const Array<OneD,NekDouble> &point,
+ const NekDouble t1, const NekDouble t2, vector<NekDouble> &tvalT );
+
+ void PlaneEquationOfFace( const SpatialDomains::GeometrySharedPtr geomEl,
+ NekDouble &a, NekDouble &b, NekDouble &c, NekDouble &d);
+
+ void IntersectLineSegWithFace( const SpatialDomains::GeometrySharedPtr geomEl,
+ const Array<OneD,NekDouble> &dir, const Array<OneD,NekDouble> &point, const NekDouble t1,
+ const NekDouble t2, vector<NekDouble> &tvalT );
+
+
+ // functions used by RTree
+ void BoundingBoxOfLineSeg( const Array<OneD,NekDouble> &dir,
+ const Array<OneD,NekDouble> &pt, const NekDouble t1, const NekDouble t2,
+ RBox &b );
+ bool IntersectWithFacesUsingRTree( const Array<OneD,NekDouble> &dir, const Array<OneD,NekDouble> &point,
+ const NekDouble t1, const NekDouble t2, vector<NekDouble> &tvalT );
+ void IntersectWithBoxUsingRTree(Array<OneD,NekDouble> &minCorner,Array<OneD,NekDouble> maxCorner,
+ vector<int> &elIds, vector<int> &glIds);
+ inline virtual bool v_intersect( Array<OneD,NekDouble> &p1, Array<OneD,NekDouble> &p2,
+ Array<OneD,NekDouble> &q1, Array<OneD,NekDouble> &q2,
+ Array<OneD,NekDouble>&i1, vector<NekDouble>&i2 )
+ {
+ return threeD_intersect(p1,p2,q1,q2,i1,i2);
+ }
+
+ virtual int v_GetExpansionIndexUsingRTree( const Array<OneD,NekDouble> &point);
+ void GetBoundingOfElement(SpatialDomains::GeometrySharedPtr elGeom, RBox &b);
+ void LoadExpListIntoRTree();
+ void FindElementIDForLineSegs(const vector<NekDouble> &tvalT,
+ const Array<OneD,NekDouble> &point,
+ const Array<OneD,NekDouble> &dir,
+ const SpatialDomains::MeshGraphSharedPtr mesh_graph,
+ vector<int> &EIDs );
+ };
+
+ }
+}
+
+#endif
diff --git a/library/LSIAC/LSIACPostProcessor.cpp b/library/LSIAC/LSIACPostProcessor.cpp
new file mode 100644
index 0000000000..f89577e917
--- /dev/null
+++ b/library/LSIAC/LSIACPostProcessor.cpp
@@ -0,0 +1,171 @@
+#include "LSIACPostProcessor.h"
+#include <iomanip>
+#include <sstream>
+
+namespace Nektar
+{
+ namespace LSIAC
+ {
+ void LSIACPostProcessor::DeriveExpansion(SpatialDomains::MeshGraphSharedPtr mesh, LibUtilities::SessionReaderSharedPtr vSession,
+ int num_modesX,int num_modesY,
+ Array<OneD,NekDouble> fielddata,
+ MultiRegions::ExpListSharedPtr &Exp)
+ {
+ int num_pointsX= Exp->GetExp(0)->GetBasis(0)->GetNumPoints();
+ int num_pointsY= Exp->GetExp(0)->GetBasis(1)->GetNumPoints();
+ const LibUtilities::PointsKey PkeyT1(num_pointsX,Exp->GetExp(0)->GetPointsType(0));
+ const LibUtilities::PointsKey PkeyT2(num_pointsY,Exp->GetExp(1)->GetPointsType(1));
+ const LibUtilities::PointsKey PkeyQ1(num_pointsX,Exp->GetExp(0)->GetPointsType(0));
+ const LibUtilities::PointsKey PkeyQ2(num_pointsY,Exp->GetExp(1)->GetPointsType(1));
+ const LibUtilities::BasisKey BkeyT1(Exp->GetExp(0)->GetBasisType(0),num_modesX,PkeyT1);
+ const LibUtilities::BasisKey BkeyT2(Exp->GetExp(0)->GetBasisType(1),num_modesY,PkeyT2);
+ const LibUtilities::BasisKey BkeyQ1(Exp->GetExp(0)->GetBasisType(0),num_modesX,PkeyQ1);
+ const LibUtilities::BasisKey BkeyQ2(Exp->GetExp(0)->GetBasisType(1),num_modesY,PkeyQ2);
+ Exp = MemoryManager<MultiRegions::ExpList2D>::AllocateSharedPtr(vSession,BkeyT1,BkeyT2,BkeyQ1,BkeyQ2,mesh);
+ // We will create Exp using the original field modes (in HNM->m_expansions) but with the quadrature points from the target expansion. this is to evaluate the field derivatives quickly.
+ Exp->FwdTrans(fielddata,Exp->UpdateCoeffs() );
+ Exp->BwdTrans( Exp->GetCoeffs(),Exp->UpdatePhys());
+
+ }
+ MultiRegions::ExpListSharedPtr LSIACPostProcessor::DeriveExpansion(SpatialDomains::MeshGraphSharedPtr mesh, LibUtilities::SessionReaderSharedPtr vSession,
+ int num_modesX,int num_modesY,int num_modesZ,
+ Array<OneD,NekDouble> fielddata,
+ MultiRegions::ExpListSharedPtr Exp)
+ {
+ int num_pointsX=Exp->GetExp(0)->GetBasis(0)->GetNumPoints();
+ int num_pointsY=Exp->GetExp(0)->GetBasis(1)->GetNumPoints();
+ int num_pointsZ=Exp->GetExp(0)->GetBasis(2)->GetNumPoints();
+ const LibUtilities::PointsKey PkeyT1(num_pointsX,Exp->GetExp(0)->GetPointsType(0));
+ const LibUtilities::PointsKey PkeyT2(num_pointsY,Exp->GetExp(1)->GetPointsType(1));
+ const LibUtilities::PointsKey PkeyT3(num_pointsZ,Exp->GetExp(2)->GetPointsType(2));
+ const LibUtilities::PointsKey PkeyQ1(num_pointsX,Exp->GetExp(0)->GetPointsType(0));
+ const LibUtilities::PointsKey PkeyQ2(num_pointsY,Exp->GetExp(1)->GetPointsType(1));
+ const LibUtilities::PointsKey PkeyQ3(num_pointsZ,Exp->GetExp(2)->GetPointsType(2));
+ const LibUtilities::BasisKey BkeyT1(Exp->GetExp(0)->GetBasisType(0),num_modesX,PkeyT1);
+ const LibUtilities::BasisKey BkeyT2(Exp->GetExp(0)->GetBasisType(1),num_modesY,PkeyT2);
+ const LibUtilities::BasisKey BkeyT3(Exp->GetExp(0)->GetBasisType(2),num_modesZ,PkeyT3);
+ const LibUtilities::BasisKey BkeyQ1(Exp->GetExp(0)->GetBasisType(0),num_modesX,PkeyQ1);
+ const LibUtilities::BasisKey BkeyQ2(Exp->GetExp(0)->GetBasisType(1),num_modesY,PkeyQ2);
+ const LibUtilities::BasisKey BkeyQ3(Exp->GetExp(0)->GetBasisType(2),num_modesZ,PkeyQ3);
+ MultiRegions::ExpList3DSharedPtr targetExp = MemoryManager<MultiRegions::ExpList3D>::AllocateSharedPtr(vSession,BkeyT1,BkeyT2,BkeyT3,BkeyQ1,BkeyQ2,BkeyQ3,mesh);
+ // We will create Exp using the original field modes (in HNM->m_expansions) but with the quadrature points from the target expansion. this is to evaluate the field derivatives quickly.
+ targetExp->FwdTrans(fielddata,targetExp->UpdateCoeffs() );
+ targetExp->BwdTrans( targetExp->GetCoeffs(), targetExp->UpdatePhys());
+ return targetExp;
+ }
+
+
+
+
+
+ void LSIACPostProcessor::printNekArray(const Array<OneD,NekDouble> &ar,int del) const
+ {
+ cout << "size of array: " << ar.num_elements()<< endl;
+ for (int i =0;i <ar.num_elements();i++)
+ {
+ cout <<ar[i]<<"\t";
+ }
+ cout << endl;
+ }
+
+ void LSIACPostProcessor::printNekArray(const vector<NekDouble> &ar,int del) const
+ {
+ cout << "size of array: " << ar.size()<< endl;
+ for (int i =0;i <ar.size();i++)
+ {
+ cout <<ar[i]<<"\t";
+ }
+ cout << endl;
+ }
+
+ void LSIACPostProcessor::printNekArray(const vector<int> &ar,int del) const
+ {
+ cout << "size of array: " << ar.size()<< endl;
+ for (int i =0;i <ar.size();i++)
+ {
+ cout <<ar[i]<<"\t";
+ }
+ cout << endl;
+ }
+
+ void LSIACPostProcessor::printGraphArray(const Array<OneD,NekDouble> &test,NekDouble down, NekDouble up,NekDouble increment) const
+ {
+ int size = test.num_elements();
+ for(NekDouble i =up; i >=down; i-=increment)
+ {
+ cout << fixed<< setprecision(3) << i<< "\t";
+ for (int e =0;e < size; e++)
+ {
+ if ( (test[e]<=i) && (test[e]> i-increment) ){
+ cout << 'e';
+ }else{
+ cout << ' ';
+ }
+
+ }
+ cout << endl;
+ }
+
+ }
+
+
+ void LSIACPostProcessor::writeNekArray(vector<int> &ar,string filename) const
+ {
+ ofstream myfile;
+ myfile.open (filename.c_str());
+ for (int i =0;i <ar.size();i++)
+ {
+ myfile << std::setprecision(19)<<ar[i]<<"\t";
+ }
+ myfile << endl;
+ myfile.close();
+ }
+ void LSIACPostProcessor::writeNekArray(vector<NekDouble> &ar, string filename) const
+ {
+ ofstream myfile;
+ myfile.open (filename.c_str());
+ for (int i =0;i <ar.size();i++)
+ {
+ myfile << std::setprecision(19)<<ar[i]<<"\t";
+ }
+ myfile << endl;
+ myfile.close();
+ }
+
+ void LSIACPostProcessor::writeNekArray(Array<OneD,NekDouble> &ar, string filename) const
+ {
+ ofstream myfile;
+ myfile.open (filename.c_str());
+ for (int i =0;i <ar.num_elements();i++)
+ {
+ myfile << std::setprecision(19)<<ar[i]<<"\t";
+ }
+ myfile << endl;
+ myfile.close();
+ }
+
+ void LSIACPostProcessor::readNekArray(Array<OneD,NekDouble> &ar, string filename) const
+ {
+ ifstream source;
+ source.open(filename.c_str(),ios_base::in);
+
+ if (!source)
+ {
+ assert(false&&"file does not exist.");
+ }
+
+ std::string line;
+ std::getline(source,line);
+ std::istringstream in( line);
+
+ for (int i =0; i< ar.num_elements();i++)
+ {
+ in >> ar[i];
+ // cout << std::setprecision(19)<<ar[i] << endl;
+ }
+
+ }
+
+
+ }
+}
diff --git a/library/LSIAC/LSIACPostProcessor.h b/library/LSIAC/LSIACPostProcessor.h
new file mode 100644
index 0000000000..577de5d9ec
--- /dev/null
+++ b/library/LSIAC/LSIACPostProcessor.h
@@ -0,0 +1,60 @@
+#ifndef LSIAC_LSIACPOSTPROCESSOR
+#define LSIAC_LSIACPOSTPROCESSOR
+
+#define TOLERENCE 1e-8
+#define TOLERENCE_MESH_COMP 1e-16
+#define TTOL 1.e-13
+#define PTTOL 1.e-7
+#include <LibUtilities/Memory/NekMemoryManager.hpp>
+#include <LibUtilities/BasicUtils/SessionReader.h>
+#include <LibUtilities/LinearAlgebra/Lapack.hpp>
+#include <MultiRegions/ContField1D.h>
+#include <MultiRegions/ExpList.h>
+#include <MultiRegions/ExpList3D.h>
+#include <MultiRegions/ExpList2D.h>
+#include <LibUtilities/BasicUtils/VmathArray.hpp>
+#include <LibUtilities/Communication/Comm.h>
+#include <iostream>
+#include <vector>
+
+using namespace std;
+
+namespace Nektar
+{
+ namespace LSIAC
+ {
+ /// This class help import all nektar base classes.
+ class LSIACPostProcessor{
+ public:
+
+ private:
+ protected:
+ void printNekArray(const Array<OneD,NekDouble> &ar,int del)const;
+ void printNekArray(const vector<NekDouble> &ar,int del) const;
+ void printNekArray(const vector<int> &ar,int del) const;
+ void writeNekArray(vector<int> &ar,string filename) const;
+ void writeNekArray(vector<NekDouble> &ar, string filename) const;
+ void writeNekArray(Array<OneD,NekDouble> &ar, string filename) const;
+ // void readNekArray(vector<NekDouble> &ar, string filename) const;
+ void readNekArray(Array<OneD,NekDouble> &ar, string filename) const;
+
+ void printGraphArray(const Array<OneD,NekDouble> &test,NekDouble down, NekDouble up,NekDouble increment=1.0)const;
+ public:
+ void DeriveExpansion(SpatialDomains::MeshGraphSharedPtr mesh, LibUtilities::SessionReaderSharedPtr vSession, int num_modesX, int num_modesY,
+ Array<OneD,NekDouble> fielddata,
+ MultiRegions::ExpListSharedPtr &Exp);
+ MultiRegions::ExpListSharedPtr DeriveExpansion(SpatialDomains::MeshGraphSharedPtr mesh, LibUtilities::SessionReaderSharedPtr vSession, int num_modesX, int num_modesY, int num_modesZ,
+ Array<OneD,NekDouble> fielddata,
+ MultiRegions::ExpListSharedPtr Exp);
+ void DifferentiateField(SpatialDomains::MeshGraphSharedPtr mesh,LibUtilities::SessionReaderSharedPtr vSession,
+ MultiRegions::ExpListSharedPtr &Exp,Array<OneD,int> differential_operator, Array<OneD,NekDouble> &derivativefield);
+ void write_in_fld_format( MultiRegions::ExpListSharedPtr m_exp, Array<OneD,NekDouble> field, string varName, string filename, double &eL2, double &eLinf);
+ void write_in_fld_format(MultiRegions::ExpListSharedPtr m_exp,Array<OneD,NekDouble> field,string varName,string filename);
+ void write_in_dat_format(Array<OneD,NekDouble> approx,Array<OneD,NekDouble> exact,Array<OneD,Array<OneD,NekDouble> > meshPoints,int fieldDimension,string filename);
+ };
+
+ }
+
+}
+
+#endif
diff --git a/library/LSIAC/LocDifferentiation.cpp b/library/LSIAC/LocDifferentiation.cpp
new file mode 100644
index 0000000000..26b51cba50
--- /dev/null
+++ b/library/LSIAC/LocDifferentiation.cpp
@@ -0,0 +1,182 @@
+#include"LocDifferentiation.h"
+
+
+namespace Nektar
+{
+ namespace LSIAC
+ {
+ void compute_derivatives_at_2Dmesh_quadrature_points(HandleNekMeshSharedPtr &HNM , Array<OneD, int> derivatives, Array<OneD,NekDouble> &derivativefield )
+ {
+ cout << "=========================================================" << endl;
+ cout << "| DIFFERENTIATION IN 2D ELEMENT in Local Region |" << endl;
+ cout << "=========================================================" << endl;
+ cout << endl;
+ // Specify the number of quadrature points in both directions
+ int nQuadPointsDir1 = HNM->m_expansions[0]->GetExp(0)->GetBasis(0)->GetNumPoints();
+ int nQuadPointsDir2 = HNM->m_expansions[0]->GetExp(0)->GetBasis(1)->GetNumPoints();
+ // Declare variables (of type Array) to hold the quadrature zeros
+ // and the values of the derivatives at the quadrature points in both
+ // directions
+ Array<OneD, NekDouble> quadZerosDir1(nQuadPointsDir1);
+ Array<OneD, NekDouble> quadZerosDir2(nQuadPointsDir2);
+ Array<TwoD, NekDouble> quadDerivsDir1(nQuadPointsDir1, nQuadPointsDir2);
+ Array<TwoD, NekDouble> quadDerivsDir2(nQuadPointsDir1, nQuadPointsDir2);
+
+ // Declare pointers (to type NekMatrix<NekDouble>) to hold the
+ // differentiation matrices
+ MatrixSharedPtrType derivMatrixDir1;
+ MatrixSharedPtrType derivMatrixDir2;
+
+ // Calculate the GLL-quadrature zeros and the differentiation
+ // matrices in both directions. This is done in 2 steps.
+
+ // Step 1: Declare the PointsKeys which uniquely defines the
+ // quadrature points
+ const LibUtilities::PointsKey quadPointsKeyDir1(nQuadPointsDir1 ,
+ HNM->m_expansions[0]->GetExp(0)->GetPointsType(0));
+ const LibUtilities::PointsKey quadPointsKeyDir2(nQuadPointsDir2 ,
+ HNM->m_expansions[0]->GetExp(0)->GetPointsType(1));
+
+ // Step 2: Using this key, the quadrature zeros and differentiation
+ // matrices can now be retrieved through the PointsManager
+ quadZerosDir1 = LibUtilities::PointsManager()[quadPointsKeyDir1]->GetZ();
+ derivMatrixDir1 = LibUtilities::PointsManager()[quadPointsKeyDir1]->GetD();
+
+ quadZerosDir2 = LibUtilities::PointsManager()[quadPointsKeyDir2]->GetZ();
+ derivMatrixDir2 = LibUtilities::PointsManager()[quadPointsKeyDir2]->GetD();
+ int Nelements = HNM->m_expansions[0]->GetNumElmts();
+ int TotPts= HNM->m_expansions[0]->GetTotPoints();
+ derivativefield=Array<OneD,NekDouble> (TotPts,0.);
+ if(TotPts != Nelements*nQuadPointsDir1*nQuadPointsDir2)
+ cout<<" MISS MATCH :: "<<TotPts<<" "<<Nelements*nQuadPointsDir1*nQuadPointsDir2<<endl;
+ int sum =0;
+ //Nelements = 1;
+ for(int ele=0; ele<Nelements ;++ele)
+ {
+ SpatialDomains::GeometrySharedPtr gEl = ( HNM->m_expansions[0]->GetExp(ele) )->GetGeom();
+ //cout<<" GETTING EDGES FROM EXPANSION "<<ele<<endl;
+ int numVertex = gEl->GetNumVerts();
+ Array<OneD,Array<OneD,NekDouble> > verts_coords(numVertex);
+ // cout<<" FOUND "<<numVertex<<" VErteX"<<endl;
+ for (int v =0; v < numVertex ; v++)
+ {
+ verts_coords[v]=Array<OneD,NekDouble>( HNM->m_meshdim);
+ SpatialDomains::PointGeomSharedPtr p0 = gEl->GetVertex(v);
+ p0->GetCoords(verts_coords[v]);
+ }
+ // cout<<" OIK PASTE AS VERTEX"<<endl;
+ double x1_A=verts_coords[0][0],x2_A=verts_coords[0][1],x1_B=verts_coords[1][0],x2_B=verts_coords[1][1],x1_C=verts_coords[2][0],x2_C=verts_coords[2][1],x1_D=verts_coords[3][0],x2_D=verts_coords[3][1];
+ NekDouble x1_master, x2_master;
+ Array<OneD,NekDouble> x_slave(2);
+ NekDouble dx1dxi1, dx1dxi2, dx2dxi1, dx2dxi2;
+ NekDouble dxi1dx1, dxi1dx2, dxi2dx1, dxi2dx2;
+ NekDouble jacobian;
+ for (size_t j = 0; j < nQuadPointsDir2; ++j)
+ {
+ for (size_t i = 0; i < nQuadPointsDir1; ++i)
+ {
+ // Compute the local coordinates of the quadrature point
+ x1_master =
+ x1_A * 0.25 * (1 - quadZerosDir1[i]) * (1 - quadZerosDir2[j]) +
+ x1_B * 0.25 * (1 + quadZerosDir1[i]) * (1 - quadZerosDir2[j]) +
+ x1_D * 0.25 * (1 - quadZerosDir1[i]) * (1 + quadZerosDir2[j]) +
+ x1_C * 0.25 * (1 + quadZerosDir1[i]) * (1 + quadZerosDir2[j]);
+ x2_master =
+ x2_A * 0.25 * (1 - quadZerosDir1[i]) * (1 - quadZerosDir2[j]) +
+ x2_B * 0.25 * (1 + quadZerosDir1[i]) * (1 - quadZerosDir2[j]) +
+ x2_D * 0.25 * (1 - quadZerosDir1[i]) * (1 + quadZerosDir2[j]) +
+ x2_C * 0.25 * (1 + quadZerosDir1[i]) * (1 + quadZerosDir2[j]);
+ // Fill the Jacobian matrix analytically with the dx?dxi? terms
+ dx1dxi1 = 0.25 * (1 - quadZerosDir2[j]) * (x1_B - x1_A) +
+ 0.25 * (1 + quadZerosDir2[j]) * (x1_C - x1_D);
+ dx2dxi2 = 0.25 * (1 - quadZerosDir1[i]) * (x2_D - x2_A) +
+ 0.25 * (1 + quadZerosDir1[i]) * (x2_C - x2_B);
+ dx1dxi2 = 0.25 * (1 - quadZerosDir1[i]) * (x1_D - x1_A) +
+ 0.25 * (1 + quadZerosDir1[i]) * (x1_C - x1_B);
+ dx2dxi1 = 0.25 * (1 - quadZerosDir2[j]) * (x2_B - x2_A) +
+ 0.25 * (1 + quadZerosDir2[j]) * (x2_C - x2_D);
+ // Compute the Jacobian determinant
+ jacobian = dx1dxi1 * dx2dxi2 - dx1dxi2 * dx2dxi1;
+ // Invert the Jacobian matrix to obtain the dxi?dx? terms
+ dxi1dx1 = dx2dxi2 / jacobian;
+ dxi2dx2 = dx1dxi1 / jacobian;
+ dxi1dx2 = -dx1dxi2 / jacobian;
+ dxi2dx1 = -dx2dxi1 / jacobian;
+ for (size_t k = 0; k < nQuadPointsDir1; ++k)
+ {
+ // Compute the local coordinates of the quadrature point
+ x_slave[0] = x1_A * 0.25 * (1 - quadZerosDir1[k]) *
+ (1 - quadZerosDir2[j]) +
+ x1_B * 0.25 * (1 + quadZerosDir1[k]) *
+ (1 - quadZerosDir2[j]) +
+ x1_D * 0.25 * (1 - quadZerosDir1[k]) *
+ (1 + quadZerosDir2[j]) +
+ x1_C * 0.25 * (1 + quadZerosDir1[k]) *
+ (1 + quadZerosDir2[j]);
+
+ x_slave[1] = x2_A * 0.25 * (1 - quadZerosDir1[k]) *
+ (1 - quadZerosDir2[j]) +
+ x2_B * 0.25 * (1 + quadZerosDir1[k]) *
+ (1 - quadZerosDir2[j]) +
+ x2_D * 0.25 * (1 - quadZerosDir1[k]) *
+ (1 + quadZerosDir2[j]) +
+ x2_C * 0.25 * (1 + quadZerosDir1[k]) *
+ (1 + quadZerosDir2[j]);
+
+ // Add the contribution of this quadrature point to
+ // quadDerivsDir1[i][j] and quadDerivsDir2[i][j]
+ Array<OneD, NekDouble> phys(HNM->m_expansions[0]->GetPhys() + HNM->m_expansions[0]->GetPhys_Offset(ele));
+ double approx = HNM->m_expansions[0]->GetExp(ele)->PhysEvaluate(x_slave, phys);
+ if(derivatives[0] == 1)
+ quadDerivsDir1[i][j] += (*derivMatrixDir1)(i, k) *approx* dxi1dx1;
+ if(derivatives[1] == 1)
+ quadDerivsDir2[i][j] += (*derivMatrixDir1)(i, k) *approx* dxi1dx2;
+ }
+ for (size_t k = 0; k < nQuadPointsDir2; ++k)
+ {
+ // Compute the local coordinates of the quadrature point
+ x_slave[0] = x1_A * 0.25 * (1 - quadZerosDir1[i]) *
+ (1 - quadZerosDir2[k]) +
+ x1_B * 0.25 * (1 + quadZerosDir1[i]) *
+ (1 - quadZerosDir2[k]) +
+ x1_D * 0.25 * (1 - quadZerosDir1[i]) *
+ (1 + quadZerosDir2[k]) +
+ x1_C * 0.25 * (1 + quadZerosDir1[i]) *
+ (1 + quadZerosDir2[k]);
+
+ x_slave[1] = x2_A * 0.25 * (1 - quadZerosDir1[i]) *
+ (1 - quadZerosDir2[k]) +
+ x2_B * 0.25 * (1 + quadZerosDir1[i]) *
+ (1 - quadZerosDir2[k]) +
+ x2_D * 0.25 * (1 - quadZerosDir1[i]) *
+ (1 + quadZerosDir2[k]) +
+ x2_C * 0.25 * (1 + quadZerosDir1[i]) *
+ (1 + quadZerosDir2[k]);
+
+ // Add the contribution of this quadrature point to
+ // quadDerivsDir1[i][j] and quadDerivsDir2[i][j]
+
+ Array<OneD, NekDouble> phys(HNM->m_expansions[0]->GetPhys() + HNM->m_expansions[0]->GetPhys_Offset(ele));
+ double approx = HNM->m_expansions[0]->GetExp(ele)->PhysEvaluate(x_slave, phys);
+ if(derivatives[1] == 1)
+ quadDerivsDir2[i][j] += (*derivMatrixDir2)(j, k) *approx*dxi2dx2;
+ if(derivatives[0] == 1)
+ quadDerivsDir1[i][j] += (*derivMatrixDir2)(j, k)*approx*dxi2dx1;
+ }
+ if(derivatives[1] == 0 && derivatives[0] == 1 )
+ derivativefield[sum] = quadDerivsDir1[i][j];
+ else if(derivatives[1] == 1 && derivatives[0] == 0 )
+ derivativefield[sum] = quadDerivsDir2[i][j];
+ else if(derivatives[1] == 1 && derivatives[0] == 1 )
+ derivativefield[sum] = quadDerivsDir1[i][j]*quadDerivsDir2[i][j];
+ else
+ derivativefield[sum]=0;
+ quadDerivsDir1[i][j]=0;
+ quadDerivsDir2[i][j]=0;
+ ++sum;
+ }
+ }
+ }
+ }
+ }
+}
diff --git a/library/LSIAC/LocDifferentiation.h b/library/LSIAC/LocDifferentiation.h
new file mode 100644
index 0000000000..a7022091ae
--- /dev/null
+++ b/library/LSIAC/LocDifferentiation.h
@@ -0,0 +1,21 @@
+#ifndef LOCDIFFERENTIATION_H
+#define LOCDIFFERENTIATION_H
+#include <cstdio>
+#include <cstdlib>
+
+#include <LibUtilities/Foundations/ManagerAccess.h>
+#include <LibUtilities/Polylib/Polylib.h>
+#include <MultiRegions/ExpList.h>
+
+#include <LSIAC/HandleNekMesh.h>
+
+using namespace std;
+namespace Nektar
+{
+ typedef boost::shared_ptr<NekMatrix<NekDouble> > MatrixSharedPtrType;
+ namespace LSIAC
+ {
+ void compute_derivatives_at_2Dmesh_quadrature_points(HandleNekMeshSharedPtr &HNM ,Array<OneD,int> derivatives,Array<OneD,NekDouble> &derivativefield );
+ }
+}
+#endif // LOCDIFFERENTIATION_H
diff --git a/library/LSIAC/OneSidedKernel.cpp b/library/LSIAC/OneSidedKernel.cpp
new file mode 100644
index 0000000000..888d3d04d6
--- /dev/null
+++ b/library/LSIAC/OneSidedKernel.cpp
@@ -0,0 +1,108 @@
+#include "OneSidedKernel.h"
+
+namespace Nektar
+{
+ namespace LSIAC
+ {
+
+ OneSidedKernel::OneSidedKernel(FilterType filter,const int Order,const int numBSplines,const int numGenBSplines, const int Derivative) :SIACKernel(filter)
+ {
+ kerNo=0;
+ m_order = Order;
+ m_nthDer = Derivative;
+ m_degree = m_order -1;
+ m_nBSpl = numBSplines;
+ m_nGSpl = numGenBSplines;
+ m_cenBSplinePtr = boost::make_shared<CentralBSplines> (m_order);
+ stringstream nBsplst,nGsplst,orderst,derst;
+ print_splines = false;
+ nBsplst<<m_nBSpl;
+ nGsplst<<m_nGSpl;
+ orderst<<m_order;
+ derst<<m_nthDer;
+ if( m_nGSpl > 0)
+ m_genBSplinePtr = boost::make_shared<GeneralBSplines> (m_order);
+ m_kernelInfo="ONE SIDED KERNEL USING "+nBsplst.str()+" CENTRAL BSPLINES AND "+nGsplst.str()+" GENERAL SPLINES OF ORDER "+orderst.str()+". DERIVATIVE ORDER: "+derst.str();
+ }
+ bool OneSidedKernel::v_EvaluateKernel( const Array<OneD,NekDouble> &x_pos,
+ Array<OneD,NekDouble> &t_vals, const NekDouble meshScaling,
+ const NekDouble meshShift, const bool evalCoeff)
+ {
+ int nq = x_pos.num_elements();
+ Vmath::Fill(nq,0.0,t_vals,1);
+ Array<OneD,NekDouble> val_centralBsplines(nq,0.);
+ Array<OneD,NekDouble> val_generalBsplines(nq,0.);
+ if(print_splines)
+ bsplinesfile.open(bsplinesfilename.c_str(), std::ios_base::app) ;
+ if (evalCoeff || (m_coeffs.num_elements() == 0))
+ {
+ CalcKernelCoeffs(meshShift,m_coeffs);
+ }
+ int numSplines = m_coeffs.num_elements();
+ for(int i=0;i<numSplines-m_nGSpl; ++i) // EVALUATE CENTRAL B-SPLINES
+ {
+ Array<OneD,NekDouble> cBs(nq,0.);
+ NekDouble it = (numSplines-1.0-m_nGSpl)/2.0-i-meshShift;
+ m_cenBSplinePtr->EvaluateBSplines( x_pos,cBs,it*meshScaling, meshScaling );
+ if(print_splines)
+ {
+ for(int t=0;t<nq;++t)
+ {
+ if(fabs(cBs[t]) > 0. )
+ bsplinesfile<<x_pos[t]<<"\t"<<cBs[t]<<endl;
+ }
+ }
+ Vmath::Smul(nq, m_coeffs[i] ,cBs,1,cBs,1);
+ Vmath::Vadd(nq,cBs,1 ,val_centralBsplines,1,val_centralBsplines,1);
+ }
+ if(bsplinesfile.is_open())
+ bsplinesfile.close();
+ if(m_nGSpl > 0 && fabs(meshShift) > TTOL) // EVALUATE GENERAL SPLINE (ONLY FOR XLI KERNEL)
+ {
+ double mu;
+ if(print_splines)
+ bsplinesfile.open(gsplinesfilename.c_str(), std::ios_base::app) ;
+ if(meshShift < -TTOL)
+ {
+ if(m_filterType == eDER)
+ mu = 0.5*(numSplines-m_nthDer-m_nGSpl+ m_order -1) + meshShift;
+ else
+ mu = 0.5*(numSplines-m_nGSpl + m_order -1) + meshShift;
+ double centre = 0.5*( x_pos[nq-1] + x_pos[0]) + mu;
+ if( (-TTOL <= centre) && centre < TTOL+1. )
+ {
+ for(int n=0;n<nq;++n)
+ {
+ val_generalBsplines[n]=pow(1.-x_pos[n] - mu,m_order-1);
+ if(print_splines)
+ gsplinesfile<<x_pos[n]<<" \t "<<val_generalBsplines[n]<<endl;
+ }
+ }
+ }
+ else if(meshShift > TTOL)
+ {
+ if(m_filterType == eDER)
+ mu = -0.5*(numSplines -m_nthDer-m_nGSpl + m_order -1) + meshShift;
+ else
+ mu = -0.5*(numSplines-m_nGSpl + m_order -1) + meshShift;
+ double centre = 0.5*( x_pos[nq-1] + x_pos[0]) + mu;
+ if((-TTOL-1 <= centre) && centre < TTOL)
+ {
+ for(int n=0;n<nq;++n)
+ {
+ val_generalBsplines[n]=pow(1.+x_pos[n] + mu,m_order-1);
+ if(print_splines)
+ gsplinesfile<<x_pos[n]<<" \t "<<val_generalBsplines[n]<<endl;
+ }
+ }
+ }
+ Vmath::Smul(nq, m_coeffs[numSplines-1],val_generalBsplines,1,val_generalBsplines,1);
+ if(gsplinesfile.is_open())
+ gsplinesfile.close();
+ }
+ // ADD ALL
+ Vmath::Vadd(nq, val_centralBsplines,1 ,val_generalBsplines,1,t_vals,1);
+ return true;
+ }
+ }
+}
diff --git a/library/LSIAC/OneSidedKernel.h b/library/LSIAC/OneSidedKernel.h
new file mode 100644
index 0000000000..2ebc3ed6cc
--- /dev/null
+++ b/library/LSIAC/OneSidedKernel.h
@@ -0,0 +1,47 @@
+#ifndef ONESIDEDSIAC_H
+#define ONESIDEDSIAC_H
+
+#include "SIACKernel.h"
+#include "CentralBSplines.h"
+#include <boost/make_shared.hpp>
+#include <memory>
+#include <vector>
+
+/// This class implements OneSided SIAC at different locations.
+/** OneSided SIAC is useful when post processing near the boundaries of the mesh.
+ The coefficients need to be re-evaluated everytime a new point is been requested.
+ Re-usability of coefficients is possible in 2D and 3D meshes but not been implented
+ in this version yet.
+*/
+
+using namespace std;
+namespace Nektar
+{
+ namespace LSIAC
+ {
+
+ class OneSidedKernel: public SIACKernel {
+ public:
+ std::vector<NekDouble> m_knotMatrix;
+ //string m_kernelInfo;
+ private:
+ boost::shared_ptr<CentralBSplines> m_cenBSplinePtr;
+ boost::shared_ptr<GeneralBSplines> m_genBSplinePtr;
+ public:
+ OneSidedKernel( FilterType filter=eSTD,const int Order=2,const int numBSplines=3,const int numGenBSplines=1,const int Derivative=0);
+ virtual Array<OneD,NekDouble> v_copy_kernel_coefficients()
+ {
+ return m_coeffs;
+ }
+
+ protected:
+ virtual bool v_EvaluateKernel(const Array<OneD,NekDouble> &x_pos,
+ Array<OneD,NekDouble> &vals, const NekDouble meshScaling=1.0,
+ const NekDouble meshShift=0.0, const bool evalCoeff= true) ;
+ Array<OneD,NekDouble> m_coeffs;
+ };
+
+ }
+}
+
+#endif
diff --git a/library/LSIAC/SIACFilter.cpp b/library/LSIAC/SIACFilter.cpp
new file mode 100644
index 0000000000..1eaa97b3c3
--- /dev/null
+++ b/library/LSIAC/SIACFilter.cpp
@@ -0,0 +1,360 @@
+#include "SIACFilter.h"
+namespace Nektar
+{
+ namespace LSIAC
+ {
+ void SIACFilter::set_conditions(FilterType filter, int order,int numSplines,const Array<OneD,int> derivative,bool tryRotations)
+ {
+ print_kernels=false; // if set to true, it will output one kernel of each type, one sided, symmetric
+ wroteLeft=false;
+ wroteHalfLeft=false;
+ wroteRight=false;
+ wroteHalfRight=false;
+ wroteSym=false;
+ created_folder =false;
+ kercount=0;
+ m_tryRotations =tryRotations;
+ simulation_path="./";
+ m_SymID=0;
+ m_OneID=1;
+ SRV_compression = 1.;
+ m_calculateQuadrature = true ;
+ m_derivatives=derivative;
+ int nGenSpline=0;
+ int totDerivatives = 0;
+ for(int d=0;d<derivative.num_elements();++d)
+ totDerivatives+=derivative[d];
+ switch (filter)
+ {
+ ////////// STANDARD KERNELS
+ case eNONE:
+ m_OneID =-1;
+ m_SymID =-1;
+ break;
+ case ePURE_2kp1:
+ numSplines=2*(order-1)+1;
+ case ePURE:
+ m_OneID =-1;
+ m_siacKernelPtrs.push_back( new SymmetricKernel(eSTD,order,numSplines,0));
+ break;
+ default:
+ case eSTD_2kp1:
+ case eSTD_2kp1_1SIDED_XLI:
+ numSplines=2*(order-1)+1;
+ case eSTD:
+ case eSTD_1SIDED_XLI:
+ ++nGenSpline;
+ m_siacKernelPtrs.push_back( new SymmetricKernel(eSTD,order,numSplines,0));
+ m_siacKernelPtrs.push_back( new OneSidedKernel(eSTD,order,numSplines,nGenSpline,0));
+ break;
+ case eSTD_2kp1_1SIDED_4kp1:
+ case eSTD_2kp1_1SIDED_SRV:
+ m_siacKernelPtrs.push_back( new SymmetricKernel(eSTD,order,2*(order-1)+1,0));
+ m_siacKernelPtrs.push_back( new OneSidedKernel(eSTD,order,4*(order-1)+1,0,0));
+ //SRV_compression = (double)(2.*(order-1.)+order)/(4.*(order-1.)+order);
+ break;
+ //
+ ////////// DERIVATIVE KERNELS
+ case eDER_LOWER_ORDER:
+ order-=totDerivatives;
+ case eDER:
+ case eDER_1SIDED_XLI:
+ cout<<" XLI kernel not implemented for derivative filters. Using one-sided CBsplines instead."<<endl;
+ case eDER_1SIDED: // implements only central B-splines
+ m_siacKernelPtrs.push_back( new SymmetricKernel(eDER,order,numSplines,totDerivatives));
+ m_siacKernelPtrs.push_back( new OneSidedKernel(eDER,order,numSplines,0,totDerivatives));
+ break;
+ case eDER_2kp1_LOWER_ORDER:
+ order-=totDerivatives;
+ case eDER_2kp1:
+ numSplines=2*(order-1)+1;
+ case eDER_2kp1_1SIDED_XLI:
+ cout<<" XLI kernel not implemented for derivative filters. Using a SRV kernel instead."<<endl;
+ case eDER_2kp1_1SIDED:
+ case eDER_2kp1_1SIDED_4kp1:
+ case eDER_2kp1_1SIDED_SRV:
+ m_siacKernelPtrs.push_back( new SymmetricKernel(eDER,order,numSplines,totDerivatives));
+ m_siacKernelPtrs.push_back( new OneSidedKernel(eDER,order,4*(order-1)+1,0,totDerivatives));
+ SRV_compression = (double)(2.*(order-1.)+order+totDerivatives)/(4.*(order-1.)+order+totDerivatives);
+ break;
+ case ePURE_DER_2kp1:
+ numSplines=2*(order-1)+1;
+ case ePURE_DER:
+ m_OneID =-1;
+ m_siacKernelPtrs.push_back( new SymmetricKernel(eDER,order,numSplines,totDerivatives));
+ break;
+
+ }
+ write_filter_name(filter,m_filterName);
+ if(m_SymID != -1)
+ m_SymKernelInfo = m_siacKernelPtrs[m_SymID]->m_kernelInfo;
+ if(m_OneID != -1 )
+ m_OneKernelInfo = m_siacKernelPtrs[m_OneID]->m_kernelInfo;
+ if(m_siacKernelPtrs[m_SymID]->m_filterType == eDER)
+ m_tryRotations=false;
+
+ }
+ bool SIACFilter::return_unfiltered_data(const Array<OneD,NekDouble> eval_point,int pId,Array<OneD,NekDouble> &filtered_field,
+ int varNum)
+ {
+ int Nfields=filtered_field.num_elements();
+ if(varNum == -1)
+ {
+ for(int n=0;n<Nfields;++n)
+ {
+ Array<OneD, NekDouble> phys(m_meshHandlePtr->m_expansions[n]->GetPhys() + m_meshHandlePtr->m_expansions[n]->GetPhys_Offset(pId));
+ filtered_field[n]= m_meshHandlePtr->m_expansions[n]->GetExp(pId)->PhysEvaluate(eval_point, phys);
+ }
+ }
+ else
+ {
+ Array<OneD, NekDouble> phys(m_meshHandlePtr->m_expansions[varNum]->GetPhys() + m_meshHandlePtr->m_expansions[varNum]->GetPhys_Offset(pId));
+ filtered_field[0]=m_meshHandlePtr->m_expansions[varNum]->GetExp(pId)->PhysEvaluate(eval_point, phys);
+ }
+ return false;
+
+ }
+ bool SIACFilter::FilterPoint(const Array<OneD,NekDouble> eval_point,NekDouble &filtered_field,int varNum)
+ {
+ Array<OneD,NekDouble> field(1);
+ bool done = FilterPoint(eval_point,field,varNum);
+ filtered_field = field[0];
+ return done;
+ }
+ bool SIACFilter::FilterPoint(const Array<OneD,NekDouble> eval_point,Array<OneD,NekDouble> &direction,NekDouble scalingFactor,NekDouble &filtered_field,int varNum)
+ {
+ Array<OneD,NekDouble> field(1);
+ if(scalingFactor < TTOL)
+ scalingFactor = 1.;
+ int pId= m_meshHandlePtr->GetId(eval_point);
+ if(pId == -1 )
+ {
+ cout<<" POINT ";
+ for(int d=0;d<m_meshHandlePtr->m_meshdim;++d)
+ cout<<"\t"<<eval_point[d];
+ cout<<" IS OUTSIDE OF THE DOMAIN. CAN'T FILTER THAT!"<<endl;
+ return false;
+ }
+ double delta=m_meshHandlePtr->GetElLargestEdgeSize(eval_point,pId);
+ double kernelScaling=scalingFactor*delta;
+ bool done= LineIntegral(eval_point,pId,direction,kernelScaling,field,varNum);
+ filtered_field = field[0];
+ return done;
+ }
+ bool SIACFilter::LineIntegral(const Array<OneD,NekDouble> eval_point,int pId,Array<OneD,NekDouble> &direction,double kernelScaling,Array<OneD,NekDouble> &filtered_field,int varNum)
+ {
+
+ int Nfields=filtered_field.num_elements();
+ for(int n=0;n<Nfields;++n)
+ filtered_field[n]=0.;
+ int dim=m_meshHandlePtr->m_meshdim;
+ // SET SCALING
+ double norm=m_meshHandlePtr->norm_Math(direction,dim);
+ for(int i=0;i<dim;++i)
+ {
+ direction[i]/=norm;
+ }
+ //FIND OUT IF KERNEL FITS
+ NekDouble tmin_sym=0.,tmin_one=0.,tmax_sym=0.,tmax_one=0.;
+ if(m_SymID != -1)
+ m_siacKernelPtrs[m_SymID]->GetFilterRange(kernelScaling,tmin_sym,tmax_sym);
+ if(m_OneID !=-1)
+ m_siacKernelPtrs[m_OneID]->GetFilterRange(kernelScaling*SRV_compression,tmin_one,tmax_one); // For derivative kernels, we compress the one sided filter H -> 0.5*H
+ double tmin_init_one=tmin_one; // it will tell us what is the shift
+ if(!supportOK(eval_point,direction,tmin_sym,tmax_sym,tmin_one,tmax_one,m_kernelType)) // Impossible to fit the kernel. return unfiltered value.
+ {
+ return return_unfiltered_data(eval_point,pId,filtered_field,varNum);
+ }
+ else // Filter fits! postprocessing :)
+ {
+ double meshShift=tmin_init_one-tmin_one;
+ double tmin,tmax;
+ if(m_kernelType == eSYMMETRIC)
+ {
+ tmin=tmin_sym;
+ tmax=tmax_sym;
+ eFT=m_SymID;
+ }
+ else
+ {
+ eFT=m_OneID;
+ if(m_OneID == -1 )
+ return return_unfiltered_data(eval_point,pId,filtered_field,varNum);
+ tmin=tmin_one;
+ tmax=tmax_one;
+ kernelScaling*=SRV_compression;
+ }
+ vector<NekDouble> HvalT,SvalT,TvalT;
+ m_siacKernelPtrs[eFT]->GetBreakPts(kernelScaling,SvalT,meshShift); // GET KERNEL BReAKS
+ m_meshHandlePtr->GetBreakPts(eval_point,direction, tmin,tmax, HvalT); // GET MESH INTERSECTIONS
+ mergeBreakPts( HvalT, SvalT, TvalT);
+ if (m_calculateQuadrature || (m_num_quadpoints.num_elements() == 0) ) // SET QUADRATURE POINTS
+ {
+ m_num_quadpoints = Array<OneD,int> (Nfields,0);
+ m_quad_weights = Array<OneD,Array<OneD,NekDouble> >(Nfields);
+ m_quad_points = Array<OneD,Array<OneD,NekDouble> >(Nfields);
+ if(varNum == -1 )
+ {
+ for(int f=0;f<Nfields;++f)
+ {
+ int quadratureOfMesh=0;
+ for(int d=0;d<dim;++d)
+ quadratureOfMesh += m_meshHandlePtr->m_expansions[f]->GetExp(pId)->GetBasis(d)->GetNumModes();
+ m_num_quadpoints[f]= ceil((m_order+quadratureOfMesh+1)/2) + 4;
+ LibUtilities::PointsKey quadPointsKey(m_num_quadpoints[f],LibUtilities::eGaussGaussLegendre );
+ //LibUtilities::PointsKey quadPointsKey(m_num_quadpoints[f],
+ // m_meshHandlePtr->m_expansions[f]->GetExp(pId)->GetPointsType(0));
+ m_quad_points[f] = LibUtilities::PointsManager()[quadPointsKey]->GetZ();
+ m_quad_weights[f] = LibUtilities::PointsManager()[quadPointsKey]->GetW();
+ m_calculateQuadrature = false;
+ }
+ }
+ else
+ {
+ int quadratureOfMesh=0;
+ for(int d=0;d<dim;++d)
+ quadratureOfMesh += m_meshHandlePtr->m_expansions[varNum]->GetExp(pId)->GetBasis(d)->GetNumModes();
+ m_num_quadpoints[0]= ceil((m_siacKernelPtrs[eFT]->m_order+quadratureOfMesh+1)/2) + 4;
+ LibUtilities::PointsKey quadPointsKey(m_num_quadpoints[0],LibUtilities::eGaussGaussLegendre );
+ //LibUtilities::PointsKey quadPointsKey(m_num_quadpoints[0],
+ // m_meshHandlePtr->m_expansions[varNum]->GetExp(pId)->GetPointsType(0));
+ m_quad_points[0] = LibUtilities::PointsManager()[quadPointsKey]->GetZ();
+ m_quad_weights[0] = LibUtilities::PointsManager()[quadPointsKey]->GetW();
+ m_calculateQuadrature = false;
+ }
+ }
+ Array<OneD,Array<OneD,NekDouble> > t_quad(Nfields), t_quad_vals(Nfields),field_values(Nfields);
+ Array<OneD,Array<OneD,Array<OneD,NekDouble> > >field_coords(Nfields);
+ for(int f = 0 ; f<Nfields ; ++f)
+ {
+ t_quad[f] = Array<OneD,NekDouble> (m_num_quadpoints[f]);
+ t_quad_vals[f] = Array<OneD,NekDouble> (m_num_quadpoints[f]);
+ field_values[f] = Array<OneD,NekDouble>(m_num_quadpoints[f]);
+ field_coords[f] = Array<OneD,Array<OneD,NekDouble> >(m_num_quadpoints[f]);
+ }
+ Array<OneD,int> t_GIDs,t_EIDs;
+ m_meshHandlePtr->GetListOfGIDs(eval_point, direction, TvalT, t_GIDs, t_EIDs); // GET ELEMENT IDs
+ for(int n=0;n<Nfields;++n)
+ filtered_field[n]=0; // We accumulate here the integral directly
+ ofstream kernel_file;
+ stringstream anglest;
+ anglest<<direction[0];
+ cout<<" PRINT KER "<<print_kernels<<endl;
+ if(print_kernels)
+ {
+ if(!created_folder)
+ {
+ simulation_path_kernel=simulation_path+"/kernel_data";
+ system(("mkdir -p "+simulation_path_kernel).c_str());
+ created_folder = true;
+ }
+ cout<<" KERNEL PATH "<<simulation_path_kernel<<endl;
+ if(!wroteLeft && m_kernelType == eBOUNDARY_LEFT)
+ {
+ string name=simulation_path_kernel+"/BOUNDARY_LEFT_KERNEL_"+anglest.str()+"-"+m_filterName+".dat";
+ kernel_file.open(name.c_str());
+ wroteLeft=true;
+ kernel_file.precision(std::numeric_limits<double>::digits10 + 1 );
+ m_siacKernelPtrs[eFT]->set_simulation_path(simulation_path_kernel,m_kernelType,m_filterName);
+ }
+ else if(!wroteRight && m_kernelType == eBOUNDARY_RIGHT)
+ {
+ string name=simulation_path_kernel+"/BOUNDARY_RIGHT_KERNEL_"+anglest.str()+"-"+m_filterName+".dat";
+ kernel_file.open(name.c_str());
+ wroteRight=true;
+ kernel_file.precision(std::numeric_limits<double>::digits10 + 1);
+ m_siacKernelPtrs[eFT]->set_simulation_path(simulation_path_kernel,m_kernelType,m_filterName);
+ }
+ else if(!wroteHalfLeft && m_kernelType == eHALF_LEFT)
+ {
+ string name=simulation_path_kernel+"/BOUNDARY_HALF_LEFT_KERNEL_"+anglest.str()+"-"+m_filterName+".dat";
+ kernel_file.open(name.c_str());
+ wroteHalfLeft=true;
+ kernel_file.precision(std::numeric_limits<double>::digits10 + 1 );
+ m_siacKernelPtrs[eFT]->set_simulation_path(simulation_path_kernel,m_kernelType,m_filterName);
+ }
+ else if(!wroteHalfRight && m_kernelType == eHALF_RIGHT)
+ {
+ string name=simulation_path_kernel+"/BOUNDARY_HALF_RIGHT_KERNEL_"+anglest.str()+"-"+m_filterName+".dat";
+ kernel_file.open(name.c_str());
+ wroteHalfRight=true;
+ kernel_file.precision(std::numeric_limits<double>::digits10 + 1);
+ m_siacKernelPtrs[eFT]->set_simulation_path(simulation_path_kernel,m_kernelType,m_filterName);
+ }
+
+ else if(!wroteSym && m_kernelType == eSYMMETRIC)
+ {
+ string name=simulation_path_kernel+"/SYMMETRIC_KERNEL_"+anglest.str()+"-"+m_filterName+".dat";
+ kernel_file.open(name.c_str());
+ wroteSym=true;
+ kernel_file.precision(std::numeric_limits<double>::digits10 + 1);
+ m_siacKernelPtrs[eFT]->set_simulation_path(simulation_path_kernel,m_kernelType,m_filterName);
+ }
+ }
+ double jacobian=1.;
+ if(m_siacKernelPtrs[eFT]->m_filterType == eDER)
+ {
+ Array<OneD,NekDouble> partialT;
+ if(GetPartialDerivatives(direction,partialT))
+ {
+ for(int d=0;d<dim;++d)
+ {
+ jacobian *=pow(partialT[d],m_derivatives[d]);
+ }
+ }
+ else
+ return_unfiltered_data(eval_point,pId,filtered_field,varNum);
+ jacobian /=pow(kernelScaling,m_siacKernelPtrs[eFT]->m_nthDer); // m_siacKernelPtrs->m_nthDer contains both, ie: alpha=alpha_1+alpha_2
+ }
+ // Actual quadrature points needed are for order = polyorder+Bspline order.
+ for(int f=0;f<Nfields;++f) // LINE INTEGRAL
+ {
+ for (int bk =0; bk < TvalT.size()-1; bk++)
+ {
+ NekDouble a = TvalT[bk]/kernelScaling; // left integral limit (scaled)
+ NekDouble b = TvalT[bk+1]/kernelScaling; // right integral limit (scaled)
+ int gID = t_GIDs[bk];
+ int eID = t_EIDs[bk];
+ for (int j=0; j< m_num_quadpoints[f]; j++)
+ {
+ field_coords[f][j]=Array<OneD,NekDouble> (dim,0.);
+ t_quad[f][j] = (b-a)*(m_quad_points[f][j]+1.0)/2.0 +a; // nodes for kernel evaluation
+ for(int d=0;d<dim;++d){
+ field_coords[f][j][d]=eval_point[d]+t_quad[f][j]*direction[d]*kernelScaling; // points for field evaluation
+ }
+ }
+ if( bk == 0 )
+ m_siacKernelPtrs[eFT]->EvaluateKernel(t_quad[f],t_quad_vals[f],kernelScaling/kernelScaling,meshShift/kernelScaling,true); // TRUE = COMPUTE KERNEL COEFFICIENTS. NEEDED ONLY ONCE PER PP POINT
+ else
+ m_siacKernelPtrs[eFT]->EvaluateKernel(t_quad[f],t_quad_vals[f],kernelScaling/kernelScaling,meshShift/kernelScaling,false);
+ if(Nfields == 1 && varNum != -1)
+ m_meshHandlePtr->EvaluateAt(field_coords[f],gID,eID, field_values[0],varNum);
+ else
+ m_meshHandlePtr->EvaluateAt(field_coords[f],gID,eID, field_values[f],f);
+ for( int j=0;j< m_num_quadpoints[f];j++)
+ {
+ filtered_field[f] += 0.5*m_quad_weights[f][j] * t_quad_vals[f][j] *std::abs(b-a)* field_values[f][j]; // Gauss quadrature
+ if(kernel_file.is_open())
+ kernel_file<<t_quad[f][j]<<"\t"<<t_quad_vals[f][j]<<endl;
+ }
+ }
+ filtered_field[f]*= jacobian;
+ }
+ if(kernel_file.is_open())
+ {
+ kernel_file<<" ### KERNEL COEFFICIENTS ####"<<endl;
+ Array<OneD,NekDouble> coeffs=m_siacKernelPtrs[eFT]->copy_kernel_coefficients();
+ int dimcoeffs=coeffs.num_elements();
+ for(int d=0;d<dimcoeffs;++d)
+ kernel_file<<"##\t"<<coeffs[d]<<endl;
+ kernel_file<<" ##------------------------------"<<endl;
+ kernel_file.close();
+ }
+ }
+ m_siacKernelPtrs[eFT]->print_splines=false;
+ return true;
+ }
+
+
+ }
+}
diff --git a/library/LSIAC/SIACFilter.h b/library/LSIAC/SIACFilter.h
new file mode 100644
index 0000000000..10b04427be
--- /dev/null
+++ b/library/LSIAC/SIACFilter.h
@@ -0,0 +1,114 @@
+#ifndef SIACFILTER_H
+#define SIACFILTER_H
+#include <cstdio>
+#include <cstdlib>
+#include <iostream>
+#include <memory>
+#include "SIACpostprocessor.h"
+#include "SIACKernel.h"
+
+#include "HandleNekMesh.h"
+#include "SymmetricKernel.h"
+#include "OneSidedKernel.h"
+#include <sstream> // std::stringstream
+#include <LibUtilities/Foundations/ManagerAccess.h> // for Points Manager, etc
+#include <algorithm>
+#include <boost/move/unique_ptr.hpp>
+#include <limits>
+/// High level class that can apply pre-determined filters.
+/** All the pre-determined filters can be used by specifing
+ enums. */
+
+namespace Nektar
+{
+ namespace LSIAC
+ {
+ inline bool compare2NekDoubles(NekDouble x, NekDouble y)
+ {
+ return ((x-TOLERENCE <y) && (x+TOLERENCE >y));
+ }
+ class SIACFilter;
+ typedef boost::shared_ptr<SIACFilter> SIACFilterSharedPtr;
+ class SIACFilter: public SIACpostprocessor
+ {
+ public:
+ KernelType m_kernelType;
+ string simulation_path;
+ string m_filterName;
+ int m_SymID, m_OneID;
+ string m_SymKernelInfo,m_OneKernelInfo;
+ bool print_kernels,created_folder;
+ string simulation_path_kernel;
+ private:
+ protected:
+ Array<OneD,int> m_num_quadpoints;
+ Array<OneD,Array<OneD,NekDouble> >m_quad_points;
+ Array<OneD,Array<OneD,NekDouble> >m_quad_weights;
+ Array<OneD,int> m_derivatives;
+ bool m_calculateQuadrature ;
+ bool wroteLeft,wroteRight,wroteHalfRight,wroteHalfLeft,wroteSym;
+ void set_conditions(FilterType filter , int order , int numSplines ,const Array<OneD,int> derivatives , bool tryRotations );
+ FilterType m_filterType;
+ //typedef boost::ptr_vector<SIACFilter> m_siacFiterPtrs;
+ vector<SIACKernel *> m_siacKernelPtrs;
+ HandleNekMeshSharedPtr m_meshHandlePtr;
+ int m_order;
+ int kercount;
+ NekDouble SRV_compression;
+ bool m_tryRotations;
+ int eFT;
+ bool supportOK(Array<OneD,NekDouble> eval_point,Array<OneD,NekDouble> &direction,NekDouble &tmin_sym,NekDouble &tmax_sym,NekDouble &tmin_one,NekDouble &tmax_one,KernelType &shift)
+ {
+ return v_supportOK(eval_point,direction,tmin_sym,tmax_sym,tmin_one,tmax_one,shift);
+ }
+ virtual bool v_supportOK(Array<OneD,NekDouble> eval_point,Array<OneD,NekDouble> &direction,NekDouble &tmin_sym,NekDouble &tmax_sym,NekDouble &tmin_one,NekDouble &tmax_one,KernelType &shift)
+ {
+ assert(false && "v_supportOK in base class should be overriden");
+ return false;
+ }
+
+ inline bool mergeBreakPts( const vector<NekDouble> &HvalT, const vector<NekDouble> &SvalT, vector<NekDouble> &TvalT)
+ {
+ TvalT= HvalT;
+ TvalT.insert(TvalT.end(),SvalT.begin(),SvalT.end());
+ sort(TvalT.begin(),TvalT.end());
+ std::vector<NekDouble>::iterator it;
+ it = std::unique ( TvalT.begin(),TvalT.end(), compare2NekDoubles );
+ TvalT.resize( std::distance(TvalT.begin(),it) );
+ return true;
+ }
+
+ // BASE FUNCTION
+ bool return_unfiltered_data(const Array<OneD,NekDouble> eval_point,int pId,Array<OneD,NekDouble> &filtered_field,
+ int varNum);
+ bool GetPartialDerivatives(Array<OneD,NekDouble> direction,Array<OneD,NekDouble> &partials)
+ {
+ return v_GetPartialDerivatives(direction,partials);
+ }
+ virtual bool v_GetPartialDerivatives(Array<OneD,NekDouble> direction,Array<OneD,NekDouble> &partials)
+ {
+ assert(false && "v_GetPartialDerivatives is purely virtual in base class");
+ return false ;
+ }
+
+ public:
+ bool FilterPoint(const Array<OneD,NekDouble> eval_point,NekDouble &filtered_field,int varNum=0);
+ bool FilterPoint(const Array<OneD,NekDouble> eval_point,Array<OneD,NekDouble> &filtered_field,int varNum=0)
+ {
+ return v_FilterPoint(eval_point,filtered_field,varNum);
+ }
+ bool FilterPoint(const Array<OneD,NekDouble> eval_point, Array<OneD,NekDouble> &direction, NekDouble scalingFactor, NekDouble &filtered_field, int varNum);
+ bool LineIntegral(const Array<OneD,NekDouble> eval_point, int pId, Array<OneD,NekDouble> &direction, double kernelScaling, Array<OneD,NekDouble> &filtered_field, int varNum);
+ virtual bool v_FilterPoint(const Array<OneD,NekDouble> eval_point,Array<OneD,NekDouble> &filtered_field,int varNum)
+ {
+ assert(false && "v_FilterPoint should be overriden");
+ return false;
+ }
+
+ };
+
+ }
+}
+
+#endif
+
diff --git a/library/LSIAC/SIACFilter1D.cpp b/library/LSIAC/SIACFilter1D.cpp
new file mode 100644
index 0000000000..2bcb4181be
--- /dev/null
+++ b/library/LSIAC/SIACFilter1D.cpp
@@ -0,0 +1,51 @@
+#include "SIACFilter1D.h"
+namespace Nektar
+{
+ namespace LSIAC
+ {
+
+ SIACFilter1D::SIACFilter1D(const FilterType filter, HandleNekMesh1DSharedPtr meshHandle,
+ const int order, const int numSplines, int derivative,bool tryRotations)
+ {
+ Array<OneD,int> der(1,derivative);
+ set_conditions(filter,order,numSplines,der,tryRotations);
+ m_meshHandlePtr = meshHandle;
+ }
+ SIACFilter1D::SIACFilter1D(const FilterType filter, HandleNekMesh1DSharedPtr meshHandle,
+ const int order, const int derivative,bool tryRotations)
+ {
+ Array<OneD,int> der(1,derivative);
+ set_conditions(filter,order,2*(order-1) +1, der,tryRotations);
+ m_meshHandlePtr = meshHandle;
+ }
+ SIACFilter1D::SIACFilter1D(const FilterType filter, HandleNekMesh1DSharedPtr meshHandle,
+ const int order, bool tryRotations)
+ {
+ Array<OneD,int> der(1,0);
+ set_conditions(filter,order,2*(order-1) +1,der,tryRotations);
+ m_meshHandlePtr = meshHandle;
+ }
+ bool SIACFilter1D::v_FilterPoint(Array<OneD,NekDouble> eval_point,
+ Array<OneD,NekDouble> &filtered_field,int varNum)
+ {
+ int pId=m_meshHandlePtr->m_expansions[0]->GetExpIndex(eval_point,PTTOL);
+ if(pId == -1 )
+ {
+ cout<<" POINT ";
+ for(int d=0;d<m_meshHandlePtr->m_meshdim;++d)
+ cout<<"\t"<<eval_point[d];
+ cout<<" IS OUTSIDE OF THE DOMAIN. CAN'T FILTER THAT!"<<endl;
+ return false;
+ }
+ Array<OneD,NekDouble> element_size(1);
+ m_meshHandlePtr->GetElementSize(pId,element_size);
+ double kernelScaling = element_size[0];
+ Array<OneD,NekDouble> direction(1,1.);
+ return LineIntegral(eval_point,pId,direction,kernelScaling, filtered_field,varNum);
+ }
+ bool SIACFilter1D::v_supportOK(Array<OneD,NekDouble> eval_point,Array<OneD,NekDouble> &direction,NekDouble &tmin_sym,NekDouble &tmax_sym,NekDouble &tmin_one,NekDouble &tmax_one,KernelType &shift)
+ {
+ return m_meshHandlePtr->filterFits(eval_point,direction,tmin_sym,tmax_sym,tmin_one,tmax_one,shift);
+ }
+ }
+}
diff --git a/library/LSIAC/SIACFilter1D.h b/library/LSIAC/SIACFilter1D.h
new file mode 100644
index 0000000000..9a4cddcea9
--- /dev/null
+++ b/library/LSIAC/SIACFilter1D.h
@@ -0,0 +1,33 @@
+#ifndef SIACFilter1D_H
+#define SIACFilter1D_H
+
+#include "SIACFilter.h"
+#include "HandleNekMesh1D.h"
+
+/// This class can postprocess 1D Meshes.
+namespace Nektar
+{
+ namespace LSIAC
+ {
+
+ class SIACFilter1D: public SIACFilter
+ {
+ private:
+ protected:
+ public:
+ SIACFilter1D(const FilterType filter, HandleNekMesh1DSharedPtr meshHandle, const int order=2, const int numSplines=3, const int derivative = 0,bool tryRotations =false);
+ SIACFilter1D(const FilterType filter, HandleNekMesh1DSharedPtr meshHandle, const int order, const int derivative,bool tryRotations =false);
+ SIACFilter1D(const FilterType filter, HandleNekMesh1DSharedPtr meshHandle, const int order,bool tryRotations =false);
+ private:
+ protected:
+ virtual bool v_FilterPoint(Array<OneD, NekDouble> eval_point, Array<OneD,NekDouble> &filtered_field, int varNum=0);
+ virtual bool v_supportOK(Array<OneD,NekDouble> eval_point, Array<OneD,NekDouble> &direction, NekDouble &tmin_sym, NekDouble &tmax_sym, NekDouble &tmin_one, NekDouble &tmax_one, KernelType &shift);
+
+ };
+
+
+
+ }
+}
+
+#endif
diff --git a/library/LSIAC/SIACFilter2D.cpp b/library/LSIAC/SIACFilter2D.cpp
new file mode 100644
index 0000000000..b537047de6
--- /dev/null
+++ b/library/LSIAC/SIACFilter2D.cpp
@@ -0,0 +1,112 @@
+#include "SIACFilter2D.h"
+namespace Nektar
+{
+ namespace LSIAC
+ {
+ SIACFilter2D::SIACFilter2D(const FilterType filter, HandleNekMesh2DSharedPtr meshHandle,
+ const int order, bool tryRotations)
+ {
+ Array<OneD,int> der(2,0);
+ set_conditions(filter,order,2*(order-1) +1, der,tryRotations);
+ m_meshHandlePtr = meshHandle;
+ }
+ SIACFilter2D::SIACFilter2D(const FilterType filter, HandleNekMesh2DSharedPtr meshHandle,
+ const int order,const int numSplines, bool tryRotations)
+ {
+ Array<OneD,int> der(2,0);
+ set_conditions(filter,order,numSplines, der,tryRotations);
+ m_meshHandlePtr = meshHandle;
+ }
+ SIACFilter2D::SIACFilter2D(const FilterType filter,HandleNekMesh2DSharedPtr meshHandle,
+ const int order,const Array<OneD,int> derivative,bool tryRotations)
+ {
+ set_conditions(filter,order,2*(order-1) +1, derivative,tryRotations);
+ m_meshHandlePtr = meshHandle;
+ }
+ SIACFilter2D::SIACFilter2D(const FilterType filter,HandleNekMesh2DSharedPtr meshHandle,
+ const int order, const int numSplines,const Array<OneD,int> derivative, const bool tryRotations)
+ {
+ set_conditions(filter,order,numSplines,derivative,tryRotations);
+ m_meshHandlePtr = meshHandle;
+ }
+ SIACFilter2D::SIACFilter2D(const FilterType filter, HandleNekMeshSharedPtr meshHandle,
+ const int order, bool tryRotations)
+ {
+ Array<OneD,int> der(2,0.);
+ set_conditions(filter,order,2*(order-1) +1, der,tryRotations);
+ m_meshHandlePtr = meshHandle;
+ }
+ SIACFilter2D::SIACFilter2D(const FilterType filter, HandleNekMeshSharedPtr meshHandle,
+ const int order,const int numSplines, bool tryRotations)
+ {
+ Array<OneD,int> der(2,0.);
+ set_conditions(filter,order,numSplines, der,tryRotations);
+ m_meshHandlePtr = meshHandle;
+ }
+ SIACFilter2D::SIACFilter2D(const FilterType filter,HandleNekMeshSharedPtr meshHandle,
+ const int order,const Array<OneD,int> derivative,bool tryRotations)
+ {
+ set_conditions(filter,order,2*(order-1) +1, derivative,tryRotations);
+ m_meshHandlePtr = meshHandle;
+ }
+ SIACFilter2D::SIACFilter2D(const FilterType filter,HandleNekMeshSharedPtr meshHandle,
+ const int order, const int numSplines,const Array<OneD,int> derivative, const bool tryRotations)
+ {
+ set_conditions(filter,order,numSplines,derivative,tryRotations);
+ m_meshHandlePtr = meshHandle;
+ }
+ bool SIACFilter2D::v_FilterPoint(const Array<OneD,NekDouble> eval_point, Array<OneD,NekDouble> &filtered_field,int varNum)
+ {
+ int pId=m_meshHandlePtr->m_expansions[0]->GetExpIndex(eval_point,PTTOL);
+ if(pId == -1 )
+ {
+ cout<<" POINT ";
+ for(int d=0;d<m_meshHandlePtr->m_meshdim;++d)
+ cout<<"\t"<<eval_point[d];
+ cout<<" IS OUTSIDE OF THE DOMAIN. CAN'T FILTER THAT!"<<endl;
+ return false;
+ }
+ Array<OneD,NekDouble> element_size(2);
+ m_meshHandlePtr->GetElementSize(pId,element_size);
+ double theta = atan(element_size[1]/element_size[0]);
+ double kernelScaling = element_size[0]/fabs(cos(theta));
+ Array<OneD,NekDouble> direction(2);
+ direction[0]=cos(theta);
+ direction[1]=sin(theta);
+ return LineIntegral(eval_point,pId,direction,kernelScaling, filtered_field,varNum);
+ }
+ bool SIACFilter2D::v_supportOK(Array<OneD,NekDouble> eval_point,Array<OneD,NekDouble> &direction,NekDouble &tmin_sym,NekDouble &tmax_sym,NekDouble &tmin_one,NekDouble &tmax_one,KernelType &shift)
+ {
+ double theta=atan(direction[1]/direction[0]);
+ if(m_tryRotations) // CHECK SUPPORT AND FLIP IF NEEDED
+ {
+ int Ntries=2;
+ Array<OneD,Array<OneD,NekDouble> >rotation_axis(Ntries);
+ for(int n=0;n<Ntries;++n)
+ rotation_axis[n]=Array<OneD,NekDouble> (m_meshHandlePtr->m_meshdim);
+ rotation_axis[0][0]=cos(theta);
+ rotation_axis[0][1]=sin(theta);
+ rotation_axis[1][0]=cos(-theta);
+ rotation_axis[1][1]=sin(-theta);
+ return m_meshHandlePtr->filterFits(eval_point,direction,rotation_axis,Ntries,tmin_sym,tmax_sym,tmin_one,tmax_one,shift);
+ }
+ else
+ {
+ return m_meshHandlePtr->filterFits(eval_point,direction,tmin_sym,tmax_sym,tmin_one,tmax_one,shift);
+ }
+ }
+ bool SIACFilter2D::v_GetPartialDerivatives(Array<OneD,NekDouble> direction,Array<OneD,NekDouble> &partials)
+ {
+ if(direction.num_elements() != 2)
+ {
+ cout<<" DIMENSION IS WRONG. WE ARE LEAVING "<<endl;
+ return false;
+ }
+ partials=Array<OneD,NekDouble>(2,0.);
+ double theta=atan(direction[1]/direction[0]);
+ partials[0]=cos(theta);
+ partials[1]=sin(theta);
+ return true;
+ }
+ }
+}
diff --git a/library/LSIAC/SIACFilter2D.h b/library/LSIAC/SIACFilter2D.h
new file mode 100644
index 0000000000..1b9b46cf39
--- /dev/null
+++ b/library/LSIAC/SIACFilter2D.h
@@ -0,0 +1,54 @@
+#ifndef SIACFILTER2D_H
+#define SIACFILTER2D_H
+#include "SIACFilter.h"
+#include"HandleNekMesh2D.h"
+
+using namespace std;
+
+namespace Nektar
+{
+ namespace LSIAC
+ {
+
+ /// This class can postprocess 2D Meshes.
+ class SIACFilter2D;
+ typedef boost::shared_ptr<SIACFilter2D> SIACFilter2DSharedPtr;
+ class SIACFilter2D: public SIACFilter
+ {
+ private:
+ protected:
+ public:
+ SIACFilter2D(const FilterType filter, HandleNekMesh2DSharedPtr meshHandle,
+ const int order=2, bool tryRotations = false);
+ SIACFilter2D(const FilterType filter,HandleNekMesh2DSharedPtr meshHandle,
+ const int order=2, const int numSplines=3, bool tryRotations = false);
+ SIACFilter2D(const FilterType filter,HandleNekMesh2DSharedPtr meshHandle,
+ const int order, const int numSplines, const Array<OneD,int> derivative, bool tryRotations = false);
+ SIACFilter2D(const FilterType filter,HandleNekMesh2DSharedPtr meshHandle,
+ const int order, const Array<OneD,int> derivative, bool tryRotations = false);
+ SIACFilter2D(const FilterType filter, HandleNekMeshSharedPtr meshHandle,
+ const int order=2, bool tryRotations = false);
+ SIACFilter2D(const FilterType filter,HandleNekMeshSharedPtr meshHandle,
+ const int order=2, const int numSplines=3, bool tryRotations = false);
+ SIACFilter2D(const FilterType filter,HandleNekMeshSharedPtr meshHandle,
+ const int order, const int numSplines, const Array<OneD,int> derivative, bool tryRotations = false);
+ SIACFilter2D(const FilterType filter,HandleNekMeshSharedPtr meshHandle,
+ const int order, const Array<OneD,int> derivative, bool tryRotations = false);
+
+ private:
+ protected:
+ ///**** v_EvaluateAt computes the line integral. It is implemented in the base class: SmoothieSIAC.cpp EvaluateAt()
+
+ virtual bool v_FilterPoint(const Array<OneD,NekDouble> eval_point, Array<OneD,NekDouble> &filtered_field,int varNum);
+ // v_supportOK is called by the base class SmoothieSIAC.cpp: filterfits() .
+
+ virtual bool v_supportOK(Array<OneD,NekDouble> eval_point, Array<OneD,NekDouble> &direction, NekDouble &tmin_sym, NekDouble &tmax_sym, NekDouble &tmin_one, NekDouble &tmax_one, KernelType &shift);
+ virtual bool v_GetPartialDerivatives(Array<OneD,NekDouble> direction,Array<OneD,NekDouble> &partials);
+
+ };
+
+
+ }
+}
+
+#endif
diff --git a/library/LSIAC/SIACFilter3D.cpp b/library/LSIAC/SIACFilter3D.cpp
new file mode 100644
index 0000000000..fbef495ad2
--- /dev/null
+++ b/library/LSIAC/SIACFilter3D.cpp
@@ -0,0 +1,125 @@
+#include "SIACFilter3D.h"
+namespace Nektar
+{
+ namespace LSIAC
+ {
+
+ SIACFilter3D::SIACFilter3D(const FilterType filter, HandleNekMesh3DSharedPtr meshHandle,
+ const int order, bool tryRotations)
+ {
+ Array<OneD,int> der(2,0.);
+ set_conditions(filter,order,2*(order-1) +1, der,tryRotations);
+ m_meshHandlePtr = meshHandle;
+ }
+ SIACFilter3D::SIACFilter3D(const FilterType filter, HandleNekMesh3DSharedPtr meshHandle,
+ const int order,const int numSplines, bool tryRotations)
+ {
+ Array<OneD,int> der(3,0.);
+ set_conditions(filter,order,numSplines, der,tryRotations);
+ m_meshHandlePtr = meshHandle;
+ }
+ SIACFilter3D::SIACFilter3D(const FilterType filter,HandleNekMesh3DSharedPtr meshHandle,
+ const int order,const Array<OneD,int> derivative,bool tryRotations)
+ {
+ set_conditions(filter,order,2*(order-1) +1, derivative,tryRotations);
+ m_meshHandlePtr = meshHandle;
+ }
+ SIACFilter3D::SIACFilter3D(const FilterType filter,HandleNekMesh3DSharedPtr meshHandle,
+ const int order, const int numSplines,const Array<OneD,int> derivative, const bool tryRotations)
+ {
+ set_conditions(filter,order,numSplines,derivative,tryRotations);
+ m_meshHandlePtr = meshHandle;
+ }
+ SIACFilter3D::SIACFilter3D(const FilterType filter, HandleNekMeshSharedPtr meshHandle,
+ const int order, bool tryRotations)
+ {
+ Array<OneD,int> der(2,0.);
+ set_conditions(filter,order,2*(order-1) +1, der,tryRotations);
+ m_meshHandlePtr = meshHandle;
+ }
+ SIACFilter3D::SIACFilter3D(const FilterType filter, HandleNekMeshSharedPtr meshHandle,
+ const int order,const int numSplines, bool tryRotations)
+ {
+ Array<OneD,int> der(3,0.);
+ set_conditions(filter,order,numSplines, der,tryRotations);
+ m_meshHandlePtr = meshHandle;
+ }
+ SIACFilter3D::SIACFilter3D(const FilterType filter,HandleNekMeshSharedPtr meshHandle,
+ const int order,const Array<OneD,int> derivative,bool tryRotations)
+ {
+ set_conditions(filter,order,2*(order-1) +1, derivative,tryRotations);
+ m_meshHandlePtr = meshHandle;
+ }
+ SIACFilter3D::SIACFilter3D(const FilterType filter,HandleNekMeshSharedPtr meshHandle,
+ const int order, const int numSplines,const Array<OneD,int> derivative, const bool tryRotations)
+ {
+ set_conditions(filter,order,numSplines,derivative,tryRotations);
+ m_meshHandlePtr = meshHandle;
+ }
+
+
+ ///////////////////
+ // Call Integral with default orientations
+ bool SIACFilter3D::v_FilterPoint(const Array<OneD,NekDouble> eval_point, Array<OneD,NekDouble> &filtered_field,int varNum)
+ {
+ int pId=m_meshHandlePtr->m_expansions[0]->GetExpIndex(eval_point,PTTOL);
+ if(pId == -1 )
+ {
+ cout<<" POINT ";
+ for(int d=0;d<m_meshHandlePtr->m_meshdim;++d)
+ cout<<"\t"<<eval_point[d];
+ cout<<" IS OUTSIDE OF THE DOMAIN. CAN'T FILTER THAT!"<<endl;
+ return false;
+ }
+ Array<OneD,NekDouble> element_size(3);
+ m_meshHandlePtr->GetElementSize(pId,element_size);
+ double theta = atan(element_size[1]/element_size[0]);
+ double aux = pow(element_size[0],2)+pow(element_size[1],2)+pow(element_size[2],2);
+ double varphi = acos(element_size[2]/sqrt(aux));
+ double kernelScaling = element_size[2]/fabs(cos(varphi));
+ Array<OneD,NekDouble> direction(3);
+ direction[0]=cos(theta)*sin(varphi);
+ direction[1]=sin(theta)*sin(varphi);
+ direction[2]=cos(varphi);
+ return LineIntegral(eval_point,pId,direction,kernelScaling, filtered_field,varNum);
+ }
+ bool SIACFilter3D::v_supportOK(Array<OneD,NekDouble> eval_point,Array<OneD,NekDouble> &direction,NekDouble &tmin_sym,NekDouble &tmax_sym,NekDouble &tmin_one,NekDouble &tmax_one,KernelType &shift)
+ {
+ double theta=atan(direction[1]/direction[0]);
+ double phi=acos(direction[2]);
+ // cout<<" THETA "<<theta<<" PHI "<<phi<<endl;
+ if(m_tryRotations) // CHECK SUPPORT AND FLIP IF NEEDED
+ {
+ int Ntries=4;
+ Array<OneD,Array<OneD,NekDouble> >rotation_axis(Ntries);
+ for(int n=0;n<Ntries;++n)
+ rotation_axis[n]=Array<OneD,NekDouble> (m_meshHandlePtr->m_meshdim);
+ get_axis(rotation_axis[0],theta,phi);
+ get_axis(rotation_axis[1],-theta,phi);
+ get_axis(rotation_axis[2],theta,M_PI-phi);
+ get_axis(rotation_axis[3],-theta,M_PI-phi);
+ return m_meshHandlePtr->filterFits(eval_point,direction,rotation_axis,Ntries,tmin_sym,tmax_sym,tmin_one,tmax_one,shift);
+ }
+ else
+ {
+ return m_meshHandlePtr->filterFits(eval_point,direction,tmin_sym,tmax_sym,tmin_one,tmax_one,shift);
+ }
+ }
+ bool SIACFilter3D::v_GetPartialDerivatives(Array<OneD,NekDouble> direction,Array<OneD,NekDouble> &partials)
+ {
+ if(direction.num_elements() != 3)
+ {
+ cout<<" DIMENSION IS WRONG. WE ARE LEAVING "<<endl;
+ return false;
+ }
+ partials=Array<OneD,NekDouble>(3,0.);
+ double theta=atan(direction[1]/direction[0]);
+ double varphi=acos(direction[2]/sqrt(pow(direction[0],2)+pow(direction[1],2)+pow(direction[2],2)));
+ partials[0]=cos(theta)*sin(varphi);
+ partials[1]=sin(theta)*sin(varphi);
+ partials[2]=cos(varphi);
+ return true;
+ }
+
+ }
+}
diff --git a/library/LSIAC/SIACFilter3D.h b/library/LSIAC/SIACFilter3D.h
new file mode 100644
index 0000000000..1fc3bf030c
--- /dev/null
+++ b/library/LSIAC/SIACFilter3D.h
@@ -0,0 +1,75 @@
+#ifndef SIACFILTER3D_H
+#define SIACFILTER3D_H
+#include <stdlib.h>
+#include <cmath>
+#include <stdio.h>
+#include <cfloat>
+#include "SIACFilter.h"
+#include"HandleNekMesh3D.h"
+using namespace std;
+namespace Nektar
+{
+ namespace LSIAC
+ {
+
+ /// This class can postprocess 3D Meshes.
+ class SIACFilter3D;
+ typedef boost::shared_ptr<SIACFilter3D> SIACFilter3DSharedPtr;
+ class SIACFilter3D: public SIACFilter
+ {
+ public:
+ SIACFilter3D(const FilterType filter, HandleNekMesh3DSharedPtr meshHandle,
+ const int order=2, bool tryRotations = false);
+ SIACFilter3D(const FilterType filter,HandleNekMesh3DSharedPtr meshHandle,
+ const int order=2, const int numSplines=3, bool tryRotations = false);
+ SIACFilter3D(const FilterType filter,HandleNekMesh3DSharedPtr meshHandle,
+ const int order, const int numSplines, const Array<OneD,int> derivative, bool tryRotations = false);
+ SIACFilter3D(const FilterType filter,HandleNekMesh3DSharedPtr meshHandle,
+ const int order, const Array<OneD,int> derivative, bool tryRotations = false);
+ SIACFilter3D(const FilterType filter, HandleNekMeshSharedPtr meshHandle,
+ const int order=2, bool tryRotations = false);
+ SIACFilter3D(const FilterType filter,HandleNekMeshSharedPtr meshHandle,
+ const int order=2, const int numSplines=3, bool tryRotations = false);
+ SIACFilter3D(const FilterType filter,HandleNekMeshSharedPtr meshHandle,
+ const int order, const int numSplines, const Array<OneD,int> derivative, bool tryRotations = false);
+ SIACFilter3D(const FilterType filter,HandleNekMeshSharedPtr meshHandle,
+ const int order, const Array<OneD,int> derivative, bool tryRotations = false);
+ //~SIACFilter3D();
+ private:
+ public:
+ protected:
+
+ // v_FilterPoint computes the line integral. It is implemented in the base class: SmoothieSIAC.cpp EvaluateAt()
+ virtual bool v_FilterPoint(const Array<OneD,NekDouble> eval_point, Array<OneD,NekDouble> &filtered_field,int varNum);
+
+
+
+
+ // v_supportOK is called by the base class SmoothieSIAC.cpp: filterfits() .
+ virtual bool v_supportOK(Array<OneD,NekDouble> eval_point, Array<OneD,NekDouble> &direction, NekDouble &tmin_sym, NekDouble &tmax_sym, NekDouble &tmin_one, NekDouble &tmax_one, KernelType &shift);
+ inline bool get_axis(Array<OneD,NekDouble> & axis,double theta,double phi)
+ {
+ int n=axis.num_elements();
+ if( n != 3)
+ return false;
+ if(fabs(phi)<TOLERENCE || std::isnan(theta))
+ {
+ axis[0]=0.;
+ axis[1]=0.;
+ }
+ else
+ {
+ axis[0]=cos(theta)*sin(phi);
+ axis[1]=sin(theta)*sin(phi);
+ }
+ axis[2]=cos(phi);
+ return true;
+ }
+ virtual bool v_GetPartialDerivatives(Array<OneD,NekDouble> direction,Array<OneD,NekDouble> &partials);
+ };
+
+
+ }
+}
+
+#endif
diff --git a/library/LSIAC/SIACKernel.cpp b/library/LSIAC/SIACKernel.cpp
new file mode 100644
index 0000000000..8d051cd32b
--- /dev/null
+++ b/library/LSIAC/SIACKernel.cpp
@@ -0,0 +1,249 @@
+#include "SIACKernel.h"
+#include "GeneralBSplines.h"
+#include <LibUtilities/Foundations/ManagerAccess.h> // for points Manager,etc
+
+
+namespace Nektar
+{
+ namespace LSIAC
+ {
+ bool SIACKernel::CalcKernelCoeffs(const NekDouble shift,Array<OneD,NekDouble> &coeffs)
+ {
+ int numSplines=m_nGSpl+m_nBSpl;
+ int totalDegree=m_degree+m_nthDer;
+ double A[numSplines*numSplines]; // For Lapack, need 1D matrix in the form cols x rows
+ int it=0;
+ for(int gamma=0; gamma <m_nBSpl ; ++gamma)
+ {
+ for(int p=0;p<numSplines;++p)
+ {
+ double sign_p=pow(-1.,p+totalDegree);
+ A[it]=0.;
+ for(int q=0;q<=p;++q)
+ {
+ double bin_pq=binomial(p,q);
+ double prod=1.0;
+ double sum=0.0;
+ for(int k=0;k<=totalDegree;++k)
+ {
+ prod*=(double)(q+1+k);
+ double div_diff=pow((double)k-0.5*(totalDegree-1.0),totalDegree+1.0+q)-pow((double)k-0.5*(totalDegree+1.),totalDegree+1.0+q);
+ double bin_totalDegree_k=binomial(totalDegree,k);
+ double sign_k=pow(-1.,k);
+ sum+=div_diff*bin_totalDegree_k*sign_k;
+ }
+ double node=-0.5*(double)(m_nBSpl-1.)+gamma+shift;
+ double node_pow=pow(node,p-q);
+ A[it]+=sign_p*bin_pq*sum/prod*node_pow;
+ }
+ ++it;
+ }
+ }
+ if(m_nGSpl == 1 && shift<0)
+ {
+ double kPrime =.5*(m_nBSpl+totalDegree);
+ for(int p=0;p<numSplines;++p)
+ {
+ A[it]=0.;
+ for(int k=0;k<=totalDegree;++k)
+ {
+ double bin_totalDegree_k=binomial(totalDegree,k);
+ double sign=pow(-1.,p);
+ double div_diff=pow(shift+kPrime,p+k+1)-pow(shift+kPrime-1,p+k+1);
+ A[it]+=bin_totalDegree_k*sign*pow(1.-(shift+kPrime),totalDegree-k)*div_diff/(p+k+1.);
+ }
+ ++it;
+ }
+ }
+ if(m_nGSpl == 1 && shift > 0)
+ {
+ double kPrime =.5*(m_nBSpl+totalDegree);
+ for(int p=0;p<numSplines;++p)
+ {
+ A[it]=0.;
+ for(int k=0;k<=totalDegree;++k)
+ {
+ double bin_totalDegree_k=binomial(totalDegree,k);
+ double sign=pow(-1.0,p+k);
+ double div_diff=pow(shift-kPrime+1.0,p+k+1)-pow(shift-kPrime,p+k+1);
+ A[it]+=bin_totalDegree_k*sign*pow(1.+(shift-kPrime),totalDegree-k)*div_diff/(p+k+1.);
+ }
+ ++it;
+ }
+ }
+ // LU FACTORIZATION USING LAPACK DGESV FUNCTION
+ double b[numSplines];
+ b[0]=1.;
+ for ( int i =1; i < numSplines; i++)
+ b[i]= 0.0;
+ int info;
+ int ONE=1;
+ int ipiv[numSplines];
+ dgesv_( &numSplines ,&ONE, A, &numSplines, ipiv,b, &numSplines, &info );
+ coeffs=Array<OneD,NekDouble> (numSplines);
+ for(int i=0;i<numSplines;++i)
+ coeffs[i]=b[i];
+ if(m_filterType == eDER)
+ {
+ Array<OneD,NekDouble> aux_coeffs(numSplines);
+ for(int n=0;n<numSplines;++n)
+ aux_coeffs[n]=coeffs[n];
+ coeffs=Array<OneD,NekDouble>(numSplines+m_nthDer);
+ for(int n=0;n<numSplines;++n)
+ coeffs[n]=aux_coeffs[n];
+ int tnBSpl = numSplines;
+ for (int a=1; a<=m_nthDer;a++)
+ {
+ NekDouble temp1 = coeffs[0];
+ NekDouble temp2 =0.0;
+ for (int i =1; i < tnBSpl; i++)
+ {
+ temp2 = coeffs[i];
+ coeffs[i] = -1*temp1 + temp2;
+ temp1 = temp2;
+ }
+ coeffs[tnBSpl] = -1*temp1;
+ tnBSpl= tnBSpl+1;
+ }
+ }
+ return true;
+ }
+
+ bool SIACKernel::GetFilterRange( NekDouble scaling, NekDouble &tmin, NekDouble &tmax,const NekDouble shift)
+ {
+ if(m_filterType == eDER)
+ {
+ tmin = -0.5*(m_order+m_nthDer+m_nBSpl-1.0)*scaling-shift;
+ tmax = 0.5*(m_order+m_nthDer+m_nBSpl-1.0)*scaling-shift;
+ }
+ else
+ {
+ tmin = -0.5*(m_order+m_nBSpl-1.0)*scaling-shift;
+ tmax =0.5*(m_order+m_nBSpl-1.0)*scaling-shift;
+ }
+ }
+ bool SIACKernel::GetBreakPts( const NekDouble scaling,
+ vector<NekDouble> &valT,const NekDouble shift)
+ {
+ NekDouble tmin, tmax;
+ GetFilterRange(scaling,tmin,tmax,shift);
+ valT.clear();
+ for (NekDouble t = tmin; t <tmax+TTOL ; t += scaling)
+ {
+ valT.push_back(t);
+ }
+ return true;
+ }
+ NekDouble SIACKernel::dividedDiff(int ii, int jj, const std::vector<NekDouble> &tknots, NekDouble x, NekDouble D)
+ {
+ NekDouble result =0.0;
+ if ( ii== jj)
+ {
+ result = Monomial(tknots[ii], x,0,D);
+ }else if( abs(tknots[ii]-tknots[jj]) < TOLERENCE)
+ {
+ result = Monomial(tknots[ii],x,jj-ii,D)/( (NekDouble)factorial(jj-ii) );
+ }else{
+ result = ( dividedDiff(ii+1,jj,tknots,x,D) - dividedDiff(ii,jj-1,tknots,x,D) )/ (tknots[jj]-tknots[ii] );
+ }
+ return result;
+ }
+
+ NekDouble SIACKernel::dividedDiff(int ii, int jj, const Nektar::Array<OneD,NekDouble> &tknots, NekDouble x, NekDouble D)
+ {
+ NekDouble result =0.0;
+ if ( ii== jj)
+ {
+ result = Monomial(tknots[ii], x,0,D);
+ }else if( abs(tknots[ii]-tknots[jj]) < TOLERENCE)
+ {
+ result = Monomial(tknots[ii],x,jj-ii,D)/( (NekDouble)factorial(jj-ii) );
+ }else{
+ result = ( dividedDiff(ii+1,jj,tknots,x,D) - dividedDiff(ii,jj-1,tknots,x,D) )/ (tknots[jj]-tknots[ii] );
+ }
+ return result;
+ }
+
+
+ NekDouble SIACKernel::Monomial(NekDouble t, NekDouble x, int der, int degree)
+ {
+ NekDouble y = t-x;
+ NekDouble result = pow(y, degree-der)* ( (NekDouble)factorial(degree) )/( (NekDouble)factorial(degree-der) );
+ return result;
+ }
+
+ int SIACKernel::factorial(int jj)
+ {
+ int fact = 1;
+ for (int i =1; i<= jj; i++)
+ {
+ fact *= i;
+ }
+ return fact;
+ }
+
+
+ void test()
+ {
+ cout << "test" << endl;
+ }
+
+ bool AreVectorsEqual(vector<double> t1, vector<double> t2)
+ {
+ if (t1.size() != t2.size())
+ return false;
+ for (int i =0; i < t1.size(); i++)
+ {
+ if (TOLERENCE < std::abs(t1[i] - t2[i]))
+ return false;
+ }
+ return true;
+ }
+
+ void AddVectoMatrix( vector<double> &tv, vector< vector< double> > &temp)
+ {
+ bool t = false;
+ for (int i =0; i < temp.size(); i++)
+ {
+ t = t || AreVectorsEqual(tv, temp[i]);
+ }
+ if (!t)
+ temp.push_back(tv);
+ }
+
+
+ void calculateDerivativeKnotMatrix(const std::vector<std::vector<NekDouble > > &M,
+ std::vector< std::vector< NekDouble> > &Result)
+ {
+ vector< vector< NekDouble> > temp;
+ temp.clear();
+ int Nknots = M[0].size();
+ for (int i =0; i< M.size();i++)
+ {
+ vector<NekDouble> tv1(M[i].begin(),M[i].end()-1);
+ vector<NekDouble> tv2(M[i].begin()+1,M[i].end());
+ AddVectoMatrix(tv1, temp);
+ AddVectoMatrix(tv2, temp);
+ }
+ Result = temp;
+ }
+
+
+ bool AccumlateCoeffForMatrix(double coeff, vector<double> &tv, vector< vector<double> > &mat,
+ vector<double> &coeffsArray)
+ {
+ bool ret = false;
+ for (int i =0; i < mat.size(); i++)
+ {
+ if ( AreVectorsEqual( tv, mat[i]) )
+ {
+ coeffsArray[i] += coeff;
+ ret = true;
+ break;
+ }
+ }
+ return ret;
+ }
+
+ }
+}
diff --git a/library/LSIAC/SIACKernel.h b/library/LSIAC/SIACKernel.h
new file mode 100644
index 0000000000..365edb90d3
--- /dev/null
+++ b/library/LSIAC/SIACKernel.h
@@ -0,0 +1,112 @@
+#ifndef LSIAC_SIACKERNEL_H
+#define LSIAC_SIACKERNEL_H
+
+#include <iostream>
+#include <vector>
+#include "LSIACPostProcessor.h"
+#include"SIACenumerators.h"
+using namespace std;
+using namespace Lapack;
+namespace Nektar
+{
+ namespace LSIAC
+ {
+ /// This class is the base class of the kernel. It has the derived classes: symmetric and oneSided.
+ ///
+ class SIACKernel;
+ typedef boost::shared_ptr<SIACKernel> SIACKernelSharedPtr;
+ class SIACKernel: public LSIACPostProcessor{
+ public:
+ FilterType m_filterType;
+ string m_kernelInfo;
+ int m_order,m_degree;
+ int m_nBSpl;
+ int m_nGSpl;
+ int m_nthDer;
+ int kerNo;
+ ofstream bsplinesfile,gsplinesfile;
+ string bsplinesfilename,gsplinesfilename,simulation_path;
+ bool print_splines;
+ protected:
+ SIACKernel(FilterType filter,int order, int nBSpl, int nthDer):m_filterType(filter)
+ {};
+ SIACKernel(FilterType filter):m_filterType(filter)
+ {};
+ public:
+ inline void set_simulation_path(string name,KernelType kernel,string kernelName)
+ {
+ string kerstring;
+ switch(kernel)
+ {
+ case eBOUNDARY_LEFT:
+ kerstring = "boundary_left";
+ break;
+ case eBOUNDARY_RIGHT:
+ kerstring = "boundary_right";
+ break;
+ case eHALF_LEFT:
+ kerstring = "half_left";
+ break;
+ case eHALF_RIGHT:
+ kerstring = "half_right";
+ break;
+ default:
+ case eSYMMETRIC:
+ kerstring = "symmetric";
+ }
+ bsplinesfilename=name+"/bsplines_"+kerstring+"_"+kernelName+".dat";
+ gsplinesfilename=name+"/gensplines_"+kerstring+kernelName+".dat";
+ print_splines = true;
+ return;
+ }
+ Array<OneD,NekDouble> copy_kernel_coefficients()
+ {
+ return v_copy_kernel_coefficients();
+ }
+ virtual Array<OneD,NekDouble> v_copy_kernel_coefficients()
+ {
+ cout << "Assert here: v_copy_kernel should be virtual" << endl;
+ Array<OneD,NekDouble> mcoeffs;
+ return mcoeffs;
+ }
+ bool EvaluateKernel(const Array<OneD,NekDouble> &x_pos,
+ Array<OneD,NekDouble> &vals, const NekDouble meshScaling=1.0,
+ const NekDouble meshShift=0.0, const bool evalCoeff=false )
+ {
+ return v_EvaluateKernel(x_pos, vals, meshScaling,meshShift,evalCoeff );
+ }
+
+ bool GetFilterRange( NekDouble scaling, NekDouble &tmin, NekDouble &tmax,const NekDouble shift=0.0);
+ bool GetBreakPts( const NekDouble scaling,vector<NekDouble> &valT,const NekDouble shift=0.);
+ protected:
+ virtual bool v_EvaluateKernel(const Array<OneD,NekDouble> &x_pos,
+ Array<OneD,NekDouble> &vals, const NekDouble meshScaling=1.0,
+ const NekDouble meshShift=0.0, const bool evalCoeff=false )
+ {
+ cout << "Assert. Evaluate kernel should be overwritten by a child class " << endl;
+ return true;
+ };
+ virtual bool v_GetFilterRange( NekDouble scaling, NekDouble &tmin, NekDouble &tmax,const NekDouble shift=0.0)
+ {
+ cout << "Assert. THis should be overwritten by a child class " << endl;
+ return true;
+ }
+ int factorial(int jj);
+ inline double binomial(int n,int k)
+ {
+ if(n==k || k==0 || n==0) return(1.);
+ double b=1;
+ for(int i=1;i<=k;i++)
+ b=(double)b*(n-k+i)/i;
+ return(b);
+ }
+ NekDouble dividedDiff(int ii, int jj,const Nektar::Array<OneD,NekDouble> &tknots, NekDouble x, NekDouble D);
+ NekDouble dividedDiff(int ii, int jj, const std::vector<NekDouble> &tknots, NekDouble x, NekDouble D);
+ NekDouble Monomial(NekDouble t, NekDouble x, int der, int degree);
+ bool CalcKernelCoeffs(const NekDouble shift, Array<OneD, NekDouble> &coeffs);
+ };
+
+ }
+}
+
+#endif
diff --git a/library/LSIAC/SIACenumerators.h b/library/LSIAC/SIACenumerators.h
new file mode 100644
index 0000000000..8c31d5e9c3
--- /dev/null
+++ b/library/LSIAC/SIACenumerators.h
@@ -0,0 +1,124 @@
+#ifndef FILTERTYPE_H
+#define FILTERTYPE_H
+
+namespace Nektar
+{
+ namespace LSIAC
+ {
+
+ //! This enum specifies the kind of filter to be used by the object.
+ /*! The user can specify any type of smoothing or derivative filter.
+ * All the properties of memeber depends on this enum. This enum cannot be changed after the object has been initialized.
+ * A new enum needs to be added to the list to create any new type of filter.
+ */
+ enum FilterType
+ {
+ eNONE, /// 0
+ ePURE,
+ ePURE_2kp1,
+ eSTD, /// 1
+ eSTD_1SIDED_XLI, /// 2
+ eSTD_2kp1, /// 3
+ eSTD_2kp1_1SIDED_XLI,/// 4
+ eSTD_2kp1_1SIDED_4kp1, /// 5
+ eSTD_2kp1_1SIDED_SRV, /// 6
+
+ eDER,/// 7
+ eDER_1SIDED, ///8
+ eDER_1SIDED_XLI, /// 9
+ eDER_2kp1, /// 10
+ eDER_2kp1_1SIDED, /// 11
+ eDER_2kp1_1SIDED_XLI, /// 12
+ eDER_2kp1_1SIDED_4kp1, /// 13
+ eDER_2kp1_1SIDED_SRV, /// 14
+ eDER_LOWER_ORDER,
+ eDER_2kp1_LOWER_ORDER,
+ ePURE_DER,
+ ePURE_DER_2kp1
+ };
+ enum KernelType
+ {
+ eBOUNDARY_LEFT,
+ eBOUNDARY_RIGHT,
+ eSYMMETRIC,
+ eHALF_LEFT,
+ eHALF_RIGHT
+ };
+
+ inline void write_filter_name(FilterType filter,string &name)
+ {
+ switch(filter)
+ {
+ case eNONE:
+ name="NONE";
+ return;
+ case ePURE:
+ name="PURE";
+ return;
+ case ePURE_2kp1:
+ name="PURE_2kp1";
+ return;
+ case eSTD:
+ name="STD";
+ return;
+ case eSTD_1SIDED_XLI:
+ name="STD_1SIDED_XLI";
+ return;
+ case eSTD_2kp1:
+ name="STD_2kp1";
+ return;
+ case eSTD_2kp1_1SIDED_XLI:
+ name="STD_2kp1_1SIDED_XLI";
+ return;
+ case eSTD_2kp1_1SIDED_4kp1:
+ name="STD_2kp1_1SIDED_4kp1";
+ return;
+ case eSTD_2kp1_1SIDED_SRV:
+ name="STD_2kp1_1SIDED_SRV";
+ return;
+ case eDER:
+ name="DER";
+ return;
+ case eDER_1SIDED:
+ name="DER_1SIDED";
+ return;
+ case eDER_1SIDED_XLI:
+ name="DER_1SIDED_XLI";
+ return;
+ case eDER_2kp1:
+ name="DER_2kp1";
+ return;
+ case eDER_2kp1_1SIDED:
+ name="DER_2kp1_1SIDED";
+ return;
+ case eDER_2kp1_1SIDED_XLI:
+ name="DER_2kp1_1SIDED_XLI";
+ return;
+ case eDER_2kp1_1SIDED_4kp1:
+ name="DER_2kp1_1SIDED_4kp1";
+ return;
+ case eDER_2kp1_1SIDED_SRV:
+ name="DER_2kp1_1SIDED_SRV";
+ return;
+ case eDER_LOWER_ORDER:
+ name="DER_LOWER_ORDER";
+ return;
+ case eDER_2kp1_LOWER_ORDER:
+ name="DER_2kp1_LOWER_ORDER";
+ return;
+ case ePURE_DER:
+ name="PURE_DER";
+ return;
+ case ePURE_DER_2kp1:
+ name="PURE_DER_2kp1";
+ return;
+
+ }
+
+ }
+
+
+ }
+}
+
+#endif
diff --git a/library/LSIAC/SIACpostprocessor.h b/library/LSIAC/SIACpostprocessor.h
new file mode 100644
index 0000000000..5b26d88f5e
--- /dev/null
+++ b/library/LSIAC/SIACpostprocessor.h
@@ -0,0 +1,25 @@
+#ifndef SMOOTHIE_H
+#define SMOOTHIE_H
+
+#include <iostream>
+#include <vector>
+#include "LSIACPostProcessor.h"
+using namespace std;
+
+/// This subclasses of the class can be used to postprocess any point on a given mesh.
+/** This class and its subclasses enable users to post process different points the mesh.
+ These classes contain methods which are used by the end user of the tool.
+*/
+namespace Nektar
+{
+namespace LSIAC
+{
+class SIACpostprocessor: public LSIACPostProcessor{
+ private:
+ protected:
+ public:
+};
+
+}
+}
+#endif
diff --git a/library/LSIAC/SmoothieSIAC_debug.cpp b/library/LSIAC/SmoothieSIAC_debug.cpp
new file mode 100644
index 0000000000..dd19b03ec2
--- /dev/null
+++ b/library/LSIAC/SmoothieSIAC_debug.cpp
@@ -0,0 +1,385 @@
+#include "SmoothieSIAC.h"
+namespace Nektar
+ {
+ namespace LSIAC
+ {
+ void SmoothieSIAC::set_conditions(FilterType filter, int order,int numSplines,const Array<OneD,int> derivative,bool tryRotations)
+ {
+ print_kernels=false; // if set to true, it will output one kernel of each type, one sided, symmetric
+ wroteLeft=false;
+ wroteHalfLeft=false;
+ wroteRight=false;
+ wroteHalfRight=false;
+ wroteSym=false;
+ created_folder =false;
+ kercount=0;
+ m_tryRotations =tryRotations;
+ m_SymID=0;
+ m_OneID=1;
+ m_scalingFactor = 1.;
+ SRV_compression = 1.;
+ m_calculateQuadrature = true ;
+ m_derivatives=derivative;
+ int nGenSpline=0;
+ int totDerivatives = 0;
+ for(int d=0;d<derivative.num_elements();++d)
+ totDerivatives+=derivative[d];
+ switch (filter)
+ {
+ ////////// STANDARD KERNELS
+ case eNONE:
+ m_OneID =-1;
+ m_SymID =-1;
+ break;
+ case ePURE_2kp1:
+ numSplines=2*(order-1)+1;
+ case ePURE:
+ m_OneID =-1;
+ m_siacFilterPtrs.push_back( new SymmetricSIAC(eSTD,order,numSplines,0));
+ break;
+ default:
+ case eSTD_2kp1:
+ case eSTD_2kp1_1SIDED_XLI:
+ numSplines=2*(order-1)+1;
+ case eSTD:
+ case eSTD_1SIDED_XLI:
+ ++nGenSpline;
+ m_siacFilterPtrs.push_back( new SymmetricSIAC(eSTD,order,numSplines,0));
+ m_siacFilterPtrs.push_back( new OneSidedSIAC(eSTD,order,numSplines,nGenSpline,0));
+ break;
+ case eSTD_2kp1_1SIDED_4kp1:
+ case eSTD_2kp1_1SIDED_SRV:
+ m_siacFilterPtrs.push_back( new SymmetricSIAC(eSTD,order,2*(order-1)+1,0));
+ m_siacFilterPtrs.push_back( new OneSidedSIAC(eSTD,order,4*(order-1)+1,0,0));
+ //SRV_compression = (double)(2.*(order-1.)+order)/(4.*(order-1.)+order);
+ break;
+ //
+ ////////// DERIVATIVE KERNELS
+ case eDER_LOWER_ORDER:
+ order-=totDerivatives;
+ case eDER:
+ case eDER_1SIDED_XLI:
+ cout<<" XLI kernel not implemented for derivative filters. Using one-sided CBsplines instead."<<endl;
+ case eDER_1SIDED: // implements only central B-splines
+ m_siacFilterPtrs.push_back( new SymmetricSIAC(eDER,order,numSplines,totDerivatives));
+ m_siacFilterPtrs.push_back( new OneSidedSIAC(eDER,order,numSplines,0,totDerivatives));
+ break;
+ case eDER_2kp1_LOWER_ORDER:
+ order-=totDerivatives;
+ case eDER_2kp1:
+ numSplines=2*(order-1)+1;
+ case eDER_2kp1_1SIDED_XLI:
+ cout<<" XLI kernel not implemented for derivative filters. Using a SRV kernel instead."<<endl;
+ case eDER_2kp1_1SIDED:
+ case eDER_2kp1_1SIDED_4kp1:
+ case eDER_2kp1_1SIDED_SRV:
+ m_siacFilterPtrs.push_back( new SymmetricSIAC(eDER,order,numSplines,totDerivatives));
+ m_siacFilterPtrs.push_back( new OneSidedSIAC(eDER,order,4*(order-1)+1,0,totDerivatives));
+ SRV_compression = (double)(2.*(order-1.)+order+totDerivatives)/(4.*(order-1.)+order+totDerivatives);
+ break;
+ case ePURE_DER_2kp1:
+ numSplines=2*(order-1)+1;
+ case ePURE_DER:
+ m_OneID =-1;
+ m_siacFilterPtrs.push_back( new SymmetricSIAC(eDER,order,numSplines,totDerivatives));
+ break;
+
+ }
+ write_filter_name(filter,m_filterName);
+ if(m_SymID != -1)
+ m_SymKernelInfo = m_siacFilterPtrs[m_SymID]->m_kernelInfo;
+ if(m_OneID != -1 )
+ m_OneKernelInfo = m_siacFilterPtrs[m_OneID]->m_kernelInfo;
+ if(m_siacFilterPtrs[m_SymID]->m_filterType == eDER)
+ m_tryRotations=false;
+
+ }
+ bool SmoothieSIAC::return_unfiltered_data(const Array<OneD,NekDouble> eval_point,int pId,Array<OneD,NekDouble> &filtered_field,
+ int varNum)
+ {
+ int Nfields=filtered_field.num_elements();
+ if(varNum == -1)
+ {
+ for(int n=0;n<Nfields;++n)
+ {
+ Array<OneD, NekDouble> phys(m_meshHandlePtr->m_expansions[n]->GetPhys() + m_meshHandlePtr->m_expansions[n]->GetPhys_Offset(pId));
+ filtered_field[n]= m_meshHandlePtr->m_expansions[n]->GetExp(pId)->PhysEvaluate(eval_point, phys);
+ }
+ }
+ else
+ {
+ Array<OneD, NekDouble> phys(m_meshHandlePtr->m_expansions[varNum]->GetPhys() + m_meshHandlePtr->m_expansions[varNum]->GetPhys_Offset(pId));
+ filtered_field[0]=m_meshHandlePtr->m_expansions[varNum]->GetExp(pId)->PhysEvaluate(eval_point, phys);
+ }
+ return false;
+
+ }
+ bool SmoothieSIAC::EvaluateAt(const Array<OneD,NekDouble> eval_point,Array<OneD,NekDouble> &filtered_field,
+ Array<OneD,NekDouble> &direction,const NekDouble scalingFactor,int varNum)
+ {
+ // cout<<" EVAL POINT "<<eval_point[0]<<" "<<eval_point[1]<<endl;
+ int dim=m_meshHandlePtr->m_meshdim;
+ int pId=m_meshHandlePtr->m_expansions[0]->GetExpIndex(eval_point,PTTOL);
+ if(pId == -1 )
+ {
+ cout<<" POINT ";
+ for(int d=0;d<dim;++d)
+ cout<<"\t"<<eval_point[d];
+ cout<<" IS OUTSIDE OF THE DOMAIN. CAN'T FILTER THAT!"<<endl;
+ return false;
+ }
+ int Nfields=filtered_field.num_elements();
+ for(int n=0;n<Nfields;++n)
+ filtered_field[n]=0.;
+ // SET SCALING
+ if(scalingFactor >0)
+ m_scalingFactor = scalingFactor;
+ if (m_scalingFactor < TTOL)
+ m_scalingFactor = 1.;
+ // GET CHARACTERISTIC ELEMENT SIZE
+ double delta=m_meshHandlePtr->GetElLargestEdgeSize(eval_point,pId);
+ m_meshSpacing=m_scalingFactor*delta;
+ //
+ // NORMALIZE DIRECTION VECTOR
+ double norm=m_meshHandlePtr->norm_Math(direction,dim);
+ for(int i=0;i<dim;++i)
+ {
+ direction[i]/=norm;
+ }
+ //FIND OUT IF KERNEL FITS
+ NekDouble tmin_sym=0.,tmin_one=0.,tmax_sym=0.,tmax_one=0.;
+ if(m_SymID != -1)
+ m_siacFilterPtrs[m_SymID]->GetFilterRange(m_meshSpacing,tmin_sym,tmax_sym);
+ if(m_OneID !=-1)
+ m_siacFilterPtrs[m_OneID]->GetFilterRange(m_meshSpacing*SRV_compression,tmin_one,tmax_one); // For derivative kernels, we compress the one sided filter H -> 0.5*H
+ double tmin_init_one=tmin_one; // it will tell us what is the shift
+ cout<<" SYMM SUPPORT "<<tmin_sym<<" "<<tmax_sym<<" ONE "<<tmin_one<<" "<<tmax_one<<endl;
+ if(!supportOK(eval_point,direction,tmin_sym,tmax_sym,tmin_one,tmax_one,m_kernelType)) // Impossible to fit the kernel. return unfiltered value.
+ {
+ return_unfiltered_data(eval_point,pId,filtered_field,varNum);
+ }
+ else // Filter fits! postprocessing :)
+ {
+ double meshShift=tmin_init_one-tmin_one;
+ double tmin,tmax;
+ if(m_kernelType == eSYMMETRIC)
+ {
+ tmin=tmin_sym;
+ tmax=tmax_sym;
+ eFT=m_SymID;
+ }
+ else
+ {
+ eFT=m_OneID;
+ if(m_OneID == -1 )
+ return_unfiltered_data(eval_point,pId,filtered_field,varNum);
+ tmin=tmin_one;
+ tmax=tmax_one;
+ m_meshSpacing*=SRV_compression;
+ }
+ cout<<" T MIN "<<tmin<<" MAX "<<tmax<<" SPACING "<<m_meshSpacing<<endl;
+ cout<<" KERNEL SUPPORT "<<endl;
+ for(int d=0;d<dim;++d)
+ cout<<" min SUPP "<<eval_point[d]+tmin*direction[d]<<"\t"; // points for field evaluation
+ cout<<endl;
+ for(int d=0;d<dim;++d)
+ cout<<" MAX SUPP "<<eval_point[d]+tmax*direction[d]<<"\t"; // points for field evaluation
+ cout<<endl;
+ cout<<" USING A "<<eFT<<" FILTER ( 0 symmetric, 1 oneSided) WITH SHIFT "<<meshShift<<" AND DIRECTION "<<direction[0]<<"\t"<<direction[1]<<" AND SCALING "<<m_meshSpacing<<endl;
+ vector<NekDouble> HvalT,SvalT,TvalT;
+ m_siacFilterPtrs[eFT]->GetBreakPts(m_meshSpacing,SvalT,meshShift); // GET KERNEL BReAKS
+ cout<<" ============================="<<endl;
+ for(int t=0;t<SvalT.size();++t)
+ cout<<" K BREAKS "<<SvalT[t]<<endl;
+ cout<<" ============================="<<endl;
+ m_meshHandlePtr->GetBreakPts(eval_point,direction, tmin,tmax, HvalT); // GET MESH INTERSECTIONS
+ cout<<" ============================="<<endl;
+ for(int t=0;t<HvalT.size();++t)
+ cout<<" MESH BREAKS "<<HvalT[t]<<endl;
+ cout<<" ============================="<<endl;
+ mergeBreakPts( HvalT, SvalT, TvalT);
+ int TvalTsize=TvalT.size();
+ cout<<" ============================="<<endl;
+ for(int t=0;t<TvalTsize;++t)
+ cout<<" K BREAKS "<<TvalT[t]<<endl;
+ cout<<" ============================="<<endl;
+ if (m_calculateQuadrature || (m_num_quadpoints.num_elements() == 0) ) // SET QUADRATURE POINTS
+ {
+ m_num_quadpoints = Array<OneD,int> (Nfields,0);
+ m_quad_weights = Array<OneD,Array<OneD,NekDouble> >(Nfields);
+ m_quad_points = Array<OneD,Array<OneD,NekDouble> >(Nfields);
+ if(varNum == -1 )
+ {
+ for(int f=0;f<Nfields;++f)
+ {
+ int quadratureOfMesh=0;
+ for(int d=0;d<dim;++d)
+ quadratureOfMesh += m_meshHandlePtr->m_expansions[f]->GetExp(pId)->GetBasis(d)->GetNumModes();
+ m_num_quadpoints[f]= ceil((m_order+quadratureOfMesh+1)/2) + 4;
+ //LibUtilities::PointsKey quadPointsKey(m_num_quadpoints[f],LibUtilities::eGaussGaussLegendre );
+ LibUtilities::PointsKey quadPointsKey(m_num_quadpoints[f],
+ m_meshHandlePtr->m_expansions[f]->GetExp(pId)->GetPointsType(0));
+ m_quad_points[f] = LibUtilities::PointsManager()[quadPointsKey]->GetZ();
+ m_quad_weights[f] = LibUtilities::PointsManager()[quadPointsKey]->GetW();
+ m_calculateQuadrature = false;
+ }
+ }
+ else
+ {
+ int quadratureOfMesh=0;
+ for(int d=0;d<dim;++d)
+ quadratureOfMesh += m_meshHandlePtr->m_expansions[varNum]->GetExp(pId)->GetBasis(d)->GetNumModes();
+ m_num_quadpoints[0]= ceil((m_order+quadratureOfMesh+1)/2) + 4;
+ //LibUtilities::PointsKey quadPointsKey(m_num_quadpoints[0],LibUtilities::eGaussGaussLegendre );
+ LibUtilities::PointsKey quadPointsKey(m_num_quadpoints[0],
+ m_meshHandlePtr->m_expansions[varNum]->GetExp(pId)->GetPointsType(0));
+ m_quad_points[0] = LibUtilities::PointsManager()[quadPointsKey]->GetZ();
+ m_quad_weights[0] = LibUtilities::PointsManager()[quadPointsKey]->GetW();
+ m_calculateQuadrature = false;
+ }
+ }
+ Array<OneD,Array<OneD,NekDouble> > t_quad(Nfields), t_quad_vals(Nfields),field_values(Nfields);
+ Array<OneD,Array<OneD,Array<OneD,NekDouble> > >field_coords(Nfields);
+ for(int f = 0 ; f<Nfields ; ++f)
+ {
+ t_quad[f] = Array<OneD,NekDouble> (m_num_quadpoints[f]);
+ t_quad_vals[f] = Array<OneD,NekDouble> (m_num_quadpoints[f]);
+ field_values[f] = Array<OneD,NekDouble>(m_num_quadpoints[f]);
+ field_coords[f] = Array<OneD,Array<OneD,NekDouble> >(m_num_quadpoints[f]);
+ }
+ Array<OneD,int> t_GIDs,t_EIDs;
+ m_meshHandlePtr->GetListOfGIDs(eval_point, direction, TvalT, t_GIDs, t_EIDs); // GET ELEMENT IDs
+ for(int n=0;n<Nfields;++n)
+ filtered_field[n]=0; // We accumulate here the integral directly
+ ofstream kernel_file;
+ //cout<<" KER COUNT "<<kercount<<endl;
+ stringstream anglest;
+ anglest<<direction[0];
+ if(print_kernels)
+ {
+ if(!created_folder)
+ {
+ simulation_path_kernel=simulation_path+"/kernel_data";
+ system(("mkdir -p "+simulation_path_kernel).c_str());
+ created_folder = true;
+ }
+ if(!wroteLeft && m_kernelType == eBOUNDARY_LEFT)
+ {
+ string name=simulation_path_kernel+"/BOUNDARY_LEFT_KERNEL_"+anglest.str()+"-"+m_filterName+".dat";
+ kernel_file.open(name.c_str());
+ wroteLeft=true;
+ kernel_file.precision(std::numeric_limits<double>::digits10 + 1 );
+ m_siacFilterPtrs[eFT]->set_simulation_path(simulation_path_kernel,m_kernelType,m_filterName);
+ }
+ else if(!wroteRight && m_kernelType == eBOUNDARY_RIGHT)
+ {
+ string name=simulation_path_kernel+"/BOUNDARY_RIGHT_KERNEL_"+anglest.str()+"-"+m_filterName+".dat";
+ kernel_file.open(name.c_str());
+ wroteRight=true;
+ kernel_file.precision(std::numeric_limits<double>::digits10 + 1);
+ m_siacFilterPtrs[eFT]->set_simulation_path(simulation_path_kernel,m_kernelType,m_filterName);
+ }
+ else if(!wroteHalfLeft && m_kernelType == eHALF_LEFT)
+ {
+ string name=simulation_path_kernel+"/BOUNDARY_HALF_LEFT_KERNEL_"+anglest.str()+"-"+m_filterName+".dat";
+ kernel_file.open(name.c_str());
+ wroteHalfLeft=true;
+ kernel_file.precision(std::numeric_limits<double>::digits10 + 1 );
+ m_siacFilterPtrs[eFT]->set_simulation_path(simulation_path_kernel,m_kernelType,m_filterName);
+ }
+ else if(!wroteHalfRight && m_kernelType == eHALF_RIGHT)
+ {
+ string name=simulation_path_kernel+"/BOUNDARY_HALF_RIGHT_KERNEL_"+anglest.str()+"-"+m_filterName+".dat";
+ kernel_file.open(name.c_str());
+ wroteHalfRight=true;
+ kernel_file.precision(std::numeric_limits<double>::digits10 + 1);
+ m_siacFilterPtrs[eFT]->set_simulation_path(simulation_path_kernel,m_kernelType,m_filterName);
+ }
+
+ else if(!wroteSym && m_kernelType == eSYMMETRIC)
+ {
+ string name=simulation_path_kernel+"/SYMMETRIC_KERNEL_"+anglest.str()+"-"+m_filterName+".dat";
+ kernel_file.open(name.c_str());
+ wroteSym=true;
+ kernel_file.precision(std::numeric_limits<double>::digits10 + 1);
+ m_siacFilterPtrs[eFT]->set_simulation_path(simulation_path_kernel,m_kernelType,m_filterName);
+ }
+ }
+ // cout<<" OPENED KERNEL FILE"<<endl;
+ double jacobian=1.;
+ if(m_siacFilterPtrs[eFT]->m_filterType == eDER)
+ {
+ Array<OneD,NekDouble> partialT;
+ if(GetPartialDerivatives(direction,partialT))
+ {
+ for(int d=0;d<dim;++d)
+ {
+ jacobian *=pow(partialT[d],m_derivatives[d]);
+ }
+ }
+ else
+ return_unfiltered_data(eval_point,pId,filtered_field,varNum);
+ jacobian /=pow(m_meshSpacing,m_siacFilterPtrs[eFT]->m_nthDer); // m_siacFilterPtrs->m_nthDer contains both, ie: alpha=alpha_1+alpha_2
+ }
+ // Actual quadrature points needed are for order = polyorder+Bspline order.
+ for(int f=0;f<Nfields;++f) // LINE INTEGRAL
+ {
+ for (int bk =0; bk < TvalT.size()-1; bk++)
+ {
+ NekDouble a = TvalT[bk]/m_meshSpacing; // left integral limit (scaled)
+ NekDouble b = TvalT[bk+1]/m_meshSpacing; // right integral limit (scaled)
+ int gID = t_GIDs[bk];
+ int eID = t_EIDs[bk];
+ cout<<" BReAKS "<<a<<" "<<b<<" COORDS "<<"\n";
+ cout<<" ============== KERNEL AND FIELD COORDS =============="<<endl;
+ cout<<" WE ARE USING "<<m_num_quadpoints[f]<<" QUADRATURE POINTS PER INTEGRAL "<<endl;
+ for (int j=0; j< m_num_quadpoints[f]; j++)
+ {
+ field_coords[f][j]=Array<OneD,NekDouble> (dim,0.);
+ t_quad[f][j] = (b-a)*(m_quad_points[f][j]+1.0)/2.0 +a; // nodes for kernel evaluation
+ cout<<" FIELD COORDS ";
+ for(int d=0;d<dim;++d){
+ field_coords[f][j][d]=eval_point[d]+t_quad[f][j]*direction[d]*m_meshSpacing; // points for field evaluation
+ cout<<field_coords[f][j][d]<<"\t";
+ }
+ cout<<endl;
+ }
+ cout<<"----------------------------------------------------------"<<endl;
+ if( bk == 0 )
+ m_siacFilterPtrs[eFT]->EvaluateFilter(t_quad[f],t_quad_vals[f],m_meshSpacing/m_meshSpacing,meshShift/m_meshSpacing,true); // TRUE = COMPUTE KERNEL COEFFICIENTS. NEEDED ONLY ONCE PER PP POINT
+ else
+ m_siacFilterPtrs[eFT]->EvaluateFilter(t_quad[f],t_quad_vals[f],m_meshSpacing/m_meshSpacing,meshShift/m_meshSpacing,false);
+ if(Nfields == 1 && varNum != -1)
+ m_meshHandlePtr->EvaluateAt(field_coords[f],gID,eID, field_values[0],varNum);
+ else
+ m_meshHandlePtr->EvaluateAt(field_coords[f],gID,eID, field_values[f],f);
+ for( int j=0;j< m_num_quadpoints[f];j++)
+ {
+ filtered_field[f] += 0.5*m_quad_weights[f][j] * t_quad_vals[f][j] *std::abs(b-a)* field_values[f][j]; // Gauss quadrature
+ cout<<" KErNEL "<<t_quad_vals[f][j]<<" DG "<<field_values[f][j]<<" ACC "<<filtered_field[f]<<endl;
+ if(kernel_file.is_open())
+ kernel_file<<t_quad[f][j]<<"\t"<<t_quad_vals[f][j]<<endl;
+ }
+ cout<<" BREAK "<<bk+1<<"/"<<TvalT.size()<<endl;
+ }
+ filtered_field[f]*= jacobian;
+ //cout<<" NEXT FIELD; DONE "<<f<<" VALUE "<<filtered_field[f]<<endl;
+ }
+ if(kernel_file.is_open())
+ {
+ kernel_file<<" ### KERNEL COEFFICIENTS ####"<<endl;
+ Array<OneD,NekDouble> coeffs=m_siacFilterPtrs[eFT]->copy_kernel_coefficients();
+ int dimcoeffs=coeffs.num_elements();
+ for(int d=0;d<dimcoeffs;++d)
+ kernel_file<<"##\t"<<coeffs[d]<<endl;
+ kernel_file<<" ##------------------------------"<<endl;
+ kernel_file.close();
+ }
+ }
+ m_siacFilterPtrs[eFT]->print_splines=false;
+ return true;
+ }
+
+
+ }
+ }
diff --git a/library/LSIAC/SymmetricKernel.cpp b/library/LSIAC/SymmetricKernel.cpp
new file mode 100644
index 0000000000..b9e9e9e39b
--- /dev/null
+++ b/library/LSIAC/SymmetricKernel.cpp
@@ -0,0 +1,125 @@
+#include "SymmetricKernel.h"
+//#include <Eigen/Dense>
+
+namespace Nektar
+{
+ namespace LSIAC
+ {
+ SymmetricKernel::SymmetricKernel(FilterType filter,const int Order,const int numBSplines,const int Derivative) :SIACKernel(filter),m_coeffCalculated(false)
+ {
+ m_order = Order;
+ m_nthDer = Derivative;
+ m_degree = m_order -1;
+ m_nBSpl = numBSplines;
+ m_nGSpl = 0;
+ print_splines = false;
+ stringstream nBsplst,orderst,derst;
+ nBsplst<<m_nBSpl;
+ orderst<<m_order;
+ derst<<m_nthDer;
+ m_kernelInfo="SYMMETRIC KERNEL USING "+nBsplst.str()+" CENTRAL BSPLINES OF ORDER "+orderst.str()+" AND DERIVATIVE ORDER: "+derst.str();
+ m_cenBSplinePtr = boost::make_shared<CentralBSplines> (m_order);
+ }
+ bool SymmetricKernel::get_symmetric_coefficients()
+ {
+ if(!m_coeffCalculated){
+ m_coeffs=Array<OneD,NekDouble> (m_nBSpl);
+ if( (2*m_degree+1) == m_nBSpl && m_nthDer == 0)
+ {
+ switch(m_order)
+ {
+ default:
+ return CalcKernelCoeffs(0.,m_coeffs);
+ case 2:
+ {
+ double div=12.;
+ m_coeffs[0]=-1./div;
+ m_coeffs[1]=14./div;
+ break;
+ }
+ case 3:
+ {
+ double div=1920.;
+ m_coeffs[0]=37./div;
+ m_coeffs[1]=-388./div;
+ m_coeffs[2]=2622./div;
+ break;
+ }
+ case 4:
+ {
+ double div=15120.;
+ m_coeffs[0]=-82./div;
+ m_coeffs[1]=933./div;
+ m_coeffs[2]=-5514./div;
+ m_coeffs[3]=24446./div;
+ break;
+ }
+ case 5:
+ {
+ double div=92897280.;
+ m_coeffs[0]=153617./div;
+ m_coeffs[1]=-1983016./div;
+ m_coeffs[2]=12615836./div;
+ m_coeffs[3]=-54427672./div;
+ m_coeffs[4]=180179150./div;
+ break;
+ }
+ case 6:
+ {
+ double div=7983360.;
+ m_coeffs[0]=-4201./div;
+ m_coeffs[1]=61546./div;
+ m_coeffs[2]=-437073./div;
+ m_coeffs[3]=2034000./div;
+ m_coeffs[4]=-7077894./div;
+ m_coeffs[5]=18830604./div;
+ break;
+ }
+ }
+ for(int i=m_order ; i<m_nBSpl;++i)
+ {
+ m_coeffs[i]=m_coeffs[m_nBSpl-1-i];
+ }
+ return true;
+ }
+ else
+ return CalcKernelCoeffs(0.,m_coeffs);
+ }
+ }
+
+ bool SymmetricKernel::v_EvaluateKernel(const Array<OneD,NekDouble> &x_pos, Array<OneD,NekDouble> &t_vals,
+ const NekDouble meshScaling, const NekDouble meshShift,const bool calcCoeffs)
+ {
+ int nq;
+ nq = x_pos.num_elements();
+ Vmath::Fill(nq,0.0,t_vals,1);
+ Array<OneD,NekDouble> t_valTemp(nq);
+ if(calcCoeffs || !m_coeffCalculated )
+ {
+ m_coeffCalculated=get_symmetric_coefficients();
+ }
+ int numSplines=m_coeffs.num_elements();
+ if(print_splines)
+ bsplinesfile.open(bsplinesfilename.c_str(), std::ios_base::app) ;
+ for(int i = 0; i< numSplines; i++)
+ {
+ NekDouble it = (numSplines-1.0)/2.0-i;
+ m_cenBSplinePtr->EvaluateBSplines( x_pos,t_valTemp, ((NekDouble) it)*meshScaling , meshScaling );
+ if(print_splines)
+ {
+ for(int t=0;t<nq;++t)
+ {
+ if(fabs(t_valTemp[t]) > 0. )
+ bsplinesfile<<x_pos[t]<<"\t"<<t_valTemp[t]<<endl;
+ }
+ }
+ Vmath::Smul(nq, m_coeffs[i] , t_valTemp,1,t_valTemp,1);
+ Vmath::Vadd(nq, t_valTemp,1 ,t_vals,1,t_vals,1);
+ }
+ if(bsplinesfile.is_open())
+ bsplinesfile.close();
+ return true;
+ }
+
+ }
+}
diff --git a/library/LSIAC/SymmetricKernel.h b/library/LSIAC/SymmetricKernel.h
new file mode 100644
index 0000000000..2f2bbc123a
--- /dev/null
+++ b/library/LSIAC/SymmetricKernel.h
@@ -0,0 +1,42 @@
+#ifndef SymmetricKernel_H
+#define SymmetricKernel_H
+#include <boost/make_shared.hpp>
+#include "SIACKernel.h"
+#include "CentralBSplines.h"
+
+/**
+ - Usage: this function is called from the SIACFilter class and it is constructed automatically from the filter conditions.
+ - The kernel coefficients are computed ONCE and stored.
+ - There are different way to calcualte coeffecients. (Matrix slove and direct).
+ - Since this is a symmetric filter knots can be calculated directly from number of Bsplines.
+ - This class assumes the use of only centralBSplines as basis.
+*/
+namespace Nektar
+{
+ namespace LSIAC
+ {
+
+ class SymmetricKernel: public SIACKernel {
+ public:
+ SymmetricKernel(FilterType filter=eSTD,const int Order = 2,const int numBSplines = 3 ,const int Derivative = 0);
+ bool m_coeffCalculated;
+ protected:
+ boost::shared_ptr<CentralBSplines> m_cenBSplinePtr;
+ //string m_kernelInfo;
+ virtual Array<OneD,NekDouble> v_copy_kernel_coefficients()
+ {
+ return m_coeffs;
+ }
+ virtual bool v_EvaluateKernel(const Array<OneD,NekDouble> &x_pos,
+ Array<OneD,NekDouble> &vals, const NekDouble meshScaling=1.0,
+ const NekDouble meshShift=0.0, const bool calcCoeffs=true) ;
+ bool get_symmetric_coefficients();
+ Array<OneD,NekDouble> m_coeffs;
+ };
+
+
+
+ }
+}
+
+#endif
diff --git a/library/LSIAC/fieldDerivatives.cpp b/library/LSIAC/fieldDerivatives.cpp
new file mode 100644
index 0000000000..e0611e147b
--- /dev/null
+++ b/library/LSIAC/fieldDerivatives.cpp
@@ -0,0 +1,80 @@
+#include <cstdio>
+#include <cstdlib>
+#include <iostream>
+#include <LibUtilities/Memory/NekMemoryManager.hpp>
+#include <LibUtilities/BasicUtils/SessionReader.h>
+#include <LibUtilities/Foundations/PointsType.h>
+#include <MultiRegions/ExpList.h>
+#include <MultiRegions/ExpList2D.h>
+#include <MultiRegions/ExpList3D.h>
+#include <LibUtilities/Polylib/Polylib.h>
+#include "LSIACPostProcessor.h"
+using namespace std;
+namespace Nektar
+{
+ namespace LSIAC
+ {
+ void LSIACPostProcessor::DifferentiateField(SpatialDomains::MeshGraphSharedPtr mesh,LibUtilities::SessionReaderSharedPtr vSession,MultiRegions::ExpListSharedPtr &Exp,Array<OneD,int> differential_operator, Array<OneD,NekDouble> &derivativefield)
+ {
+ int dimMesh = mesh->GetMeshDimension();
+ int TotMeshPoints = Exp->GetTotPoints();
+ Array<OneD,Array<OneD,NekDouble> >gradient(dimMesh);
+ for(int d=0;d<dimMesh;++d)
+ gradient[d] = Array<OneD,NekDouble>(TotMeshPoints);
+ if (dimMesh == 2)
+ {
+ int modesX= Exp->GetExp(0)->GetBasis(0)->GetNumModes();
+ int modesY= Exp->GetExp(0)->GetBasis(1)->GetNumModes();
+ DeriveExpansion(mesh,vSession,modesX,modesY,Exp->GetPhys(),Exp);
+ for(int dx=0;dx<differential_operator[0];++dx)
+ {
+ Exp->PhysDeriv(Exp->GetPhys(),gradient[0],gradient[1]);
+ --modesX;
+ DeriveExpansion(mesh,vSession,modesX,modesY,gradient[0],Exp);
+ }
+ for(int dy=0;dy<differential_operator[1];++dy)
+ {
+ Exp->PhysDeriv(Exp->GetPhys(),gradient[0],gradient[1]);
+ --modesY;
+ DeriveExpansion(mesh,vSession,modesX,modesY,gradient[1],Exp);
+ }
+ }
+ else if (dimMesh == 3)
+ {
+ int modesX= Exp->GetExp(0)->GetBasis(0)->GetNumModes();
+ int modesY= Exp->GetExp(0)->GetBasis(1)->GetNumModes();
+ int modesZ= Exp->GetExp(0)->GetBasis(2)->GetNumModes();
+ cout<<" MODES "<<modesX<<" "<<modesY<<" "<<modesZ<<endl;
+ DeriveExpansion(mesh,vSession,modesX,modesY,modesZ,Exp->GetPhys(),Exp);
+ for(int dx=0;dx<differential_operator[0];++dx)
+ {
+ cout<<" GETTING DERIVATIVES "<<endl;
+ Exp->PhysDeriv(Exp->GetPhys(),gradient[0],gradient[1],gradient[2]);
+ --modesX;
+ cout<<" DERIVE EXPANSION"<<endl;
+ Exp=DeriveExpansion(mesh,vSession,modesX,modesY,modesZ,Exp->GetPhys(),Exp);
+ cout<<" GOT IT "<<endl;
+ }
+ for(int dy=0;dy<differential_operator[1];++dy)
+ {
+ Exp->PhysDeriv(Exp->GetPhys(),gradient[0],gradient[1],gradient[2]);
+ --modesY;
+ Exp=DeriveExpansion(mesh,vSession,modesX,modesY,modesZ,gradient[1],Exp);
+ }
+ for(int dz=0;dz<differential_operator[2];++dz)
+ {
+ Exp->PhysDeriv(Exp->GetPhys(),gradient[0],gradient[1],gradient[2]);
+ --modesZ;
+ Exp=DeriveExpansion(mesh,vSession,modesX,modesY,modesZ,gradient[2],Exp);
+ }
+ }
+ derivativefield = Array<OneD,NekDouble> (TotMeshPoints);
+ Array<OneD,NekDouble> phys=Exp->GetPhys();
+ Vmath::Vcopy(TotMeshPoints,Exp->GetPhys(),1,derivativefield,1);
+ }
+ }
+}
+
+
+
+
diff --git a/library/LSIAC/mk2.txt b/library/LSIAC/mk2.txt
new file mode 100644
index 0000000000..a2b608733b
--- /dev/null
+++ b/library/LSIAC/mk2.txt
@@ -0,0 +1,68 @@
+SET(LSIACHeaders
+ LSIACPostProcessor.h
+ SIACenumerators.h
+ GeneralBSplines.h
+ CentralBSplines.h
+ SIACKernel.h
+ SymmetricKernel.h
+ OneSidedKernel.h
+ HandleMesh.h
+ HandleNekMesh.h
+ HandleNekMesh1D.h
+ HandleNekMesh2D.h
+ HandleNekMesh3D.h
+ SIACpostprocessor.h
+ SIACFilter.h
+ SIACFilter1D.h
+ SIACFilter2D.h
+ SIACFilter3D.h
+)
+
+SET(LSIACSources
+ fieldDerivatives.cpp
+ LSIACPostProcessor.cpp
+ GeneralBSplines.cpp
+ CentralBSplines.cpp
+ SIACKernel.cpp
+ SymmetricKernel.cpp
+ OneSidedKernel.cpp
+ HandleNekMesh.cpp
+ HandleNekMesh1D.cpp
+ HandleNekMesh2D.cpp
+ HandleNekMesh3D.cpp
+ SIACFilter.cpp
+ SIACFilter1D.cpp
+ SIACFilter2D.cpp
+ SIACFilter3D.cpp
+ ppio.cpp
+)
+
+ADD_NEKTAR_LIBRARY(LSIAC lib ${NEKTAR_LIBRARY_TYPE} ${LSIACSources} ${LSIACHeaders})
+
+ADD_DEFINITIONS(-DLSIAC_EXPORTS)
+
+TARGET_LINK_LIBRARIES(LSIAC LINK_PUBLIC Collections)
+
+INSTALL(DIRECTORY ./ DESTINATION ${NEKTAR_INCLUDE_DIR}/LSIAC COMPONENT dev FILES_MATCHING PATTERN "*.h" PATTERN "*.hpp")
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
diff --git a/library/LSIAC/ppio.cpp b/library/LSIAC/ppio.cpp
new file mode 100644
index 0000000000..071c910662
--- /dev/null
+++ b/library/LSIAC/ppio.cpp
@@ -0,0 +1,76 @@
+#include "LSIACPostProcessor.h"
+
+namespace Nektar
+{
+ namespace LSIAC
+ {
+ void LSIACPostProcessor::write_in_fld_format(MultiRegions::ExpListSharedPtr m_exp,Array<OneD,NekDouble> field,string varName,string filename)
+ {
+ m_exp->FwdTrans(field,m_exp->UpdateCoeffs());
+ std::vector<LibUtilities::FieldDefinitionsSharedPtr> fielddef;
+ m_exp->GetFieldDefinitions(fielddef);
+ fielddef[0]->m_fields.push_back(varName.c_str());
+ std::vector<std::vector<NekDouble> > FieldData(fielddef.size());
+ for (int i = 0; i < FieldData.size(); ++i)
+ {
+ m_exp->AppendFieldData(fielddef[i], FieldData[i]);
+ }
+ //LibUtilities::FieldIOSharedPtr fld =
+ // LibUtilities::FieldIO::CreateDefault(vSession);
+ //fld->Write(filename, fielddef, FieldData);
+ LibUtilities::Write(filename, fielddef, FieldData);
+
+ }
+ void LSIACPostProcessor::write_in_fld_format(MultiRegions::ExpListSharedPtr m_exp,Array<OneD,NekDouble> field,string varName,string filename,double &eL2,double &eLinf)
+ {
+ m_exp->FwdTrans(field,m_exp->UpdateCoeffs());
+ std::vector<LibUtilities::FieldDefinitionsSharedPtr> fielddef;
+ m_exp->GetFieldDefinitions(fielddef);
+ fielddef[0]->m_fields.push_back(varName.c_str());
+ std::vector<std::vector<NekDouble> > FieldData(fielddef.size());
+ for (int i = 0; i < FieldData.size(); ++i)
+ {
+ m_exp->AppendFieldData(fielddef[i], FieldData[i]);
+ }
+ cout<<" APENDED NEW FIELD "<<endl;
+ int npts= field.num_elements();
+ int expPts= m_exp->GetTotPoints();
+ if(npts != expPts)
+ cout<<" Inside write_in_fld_format: POINTS DIMENSIONS DONT MATCH"<<endl;
+ Array<OneD,NekDouble> field_squared(npts);
+ eLinf=0;
+ for(int n=0;n<npts; ++n)
+ {
+ field_squared[n]=pow(field[n],2);
+ eLinf = max(eLinf,field[n]);
+ }
+ eL2=sqrt(m_exp->PhysIntegral(field_squared));
+ //LibUtilities::FieldIOSharedPtr fld =
+ // LibUtilities::FieldIO::CreateDefault(vSession);
+ //fld->Write(filename, fielddef, FieldData);
+ LibUtilities::Write(filename, fielddef, FieldData);
+ }
+ void LSIACPostProcessor::write_in_dat_format(Array<OneD,NekDouble> approx,Array<OneD,NekDouble> exact,Array<OneD,Array<OneD,NekDouble> > meshPoints,int fieldDimension,string filename)
+ {
+ ofstream ofile;
+ ofile.open(filename.c_str());
+ cout<<"writing in "<<filename<<endl;
+ ofile.precision(std::numeric_limits<double>::digits10 + 1);
+ int totPts=exact.num_elements();
+ if(totPts != meshPoints.num_elements())
+ {
+ cout<<" Number of pp points and dimension of filtered solution must coincide. Nothing to write"<<endl;
+ return;
+ }
+ for(int pt=0;pt<totPts;++pt)
+ {
+ for(int d=0;d<fieldDimension;++d)
+ ofile<<meshPoints[pt][d]<<"\t";
+ ofile<<approx[pt]<<"\t"<<fabs(exact[pt]-approx[pt])<<"\t"<<exact[pt]<<endl;
+ }
+ ofile.close();
+ }
+
+ }
+
+}
diff --git a/library/LibUtilities/LinearAlgebra/Lapack.hpp b/library/LibUtilities/LinearAlgebra/Lapack.hpp
index ba553d1cda..15066a2365 100644
--- a/library/LibUtilities/LinearAlgebra/Lapack.hpp
+++ b/library/LibUtilities/LinearAlgebra/Lapack.hpp
@@ -98,6 +98,9 @@ namespace Lapack
const int& ku, double* ap, const int& lda,
double* w, double* z, const int& ldz,
double* work, int& info);
+ void F77NAME(dgesv)( int* n, int* nrhs, double* a, int* lda, int* ipiv,
+ double* b, int* ldb, int* info );
+
}
// Non-standard versions.
diff --git a/utilities/CMakeLists.txt b/utilities/CMakeLists.txt
index 886a1d405b..b5e7da27d3 100644
--- a/utilities/CMakeLists.txt
+++ b/utilities/CMakeLists.txt
@@ -2,7 +2,7 @@ MACRO(ADD_UTILITIES_EXECUTABLE name)
CMAKE_PARSE_ARGUMENTS(UTIL "" "COMPONENT" "SOURCES;DEPENDS" ${ARGN})
IF(NOT UTIL_DEPENDS)
- SET(UTIL_DEPENDS MultiRegions)
+ SET(UTIL_DEPENDS MultiRegions )
ENDIF()
ADD_NEKTAR_EXECUTABLE(${name}
@@ -39,3 +39,4 @@ ENDIF()
IF (NEKTAR_UTILITY_EXTRAS)
SUBDIRS(Extras)
ENDIF()
+SUBDIRS(LSIACutil)
diff --git a/utilities/LSIACutil/CMakeLists.txt b/utilities/LSIACutil/CMakeLists.txt
new file mode 100644
index 0000000000..995e077bc6
--- /dev/null
+++ b/utilities/LSIACutil/CMakeLists.txt
@@ -0,0 +1,47 @@
+
+#SET(lsiac_filteringSources
+# lsiac_filtering.cpp)
+#SET(l2_linf_errorsSources
+# l2_linf_errors.cpp)
+#SET(modestestSources
+# modestest.cpp)
+
+ADD_UTILITIES_EXECUTABLE(LSIACFiltering COMPONENT lsiacfiltering
+DEPENDS LSIAC MultiRegions SOURCES lsiac_filtering.cpp)
+#ADD_UTILITIES_EXECUTABLE(l2_linf_errors util-extra ${l2_linf_errorsSources})
+#ADD_UTILITIES_EXECUTABLE(modestest util-extra ${modestestSources})
+#TARGET_LINK_LIBRARIES(lsiac_filtering LINK_PUTLIC LSIAC)
+
+
+
+
+ADD_NEKTAR_TEST(lsiac_filtering)
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
diff --git a/utilities/LSIACutil/NektarFiles/adrsolver_conditions_p1_40.xml b/utilities/LSIACutil/NektarFiles/adrsolver_conditions_p1_40.xml
new file mode 100644
index 0000000000..64f94ea7f5
--- /dev/null
+++ b/utilities/LSIACutil/NektarFiles/adrsolver_conditions_p1_40.xml
@@ -0,0 +1,59 @@
+
+<NEKTAR>
+<CONDITIONS>
+ <SOLVERINFO>
+ <I PROPERTY="EQTYPE" VALUE="UnsteadyAdvection" />
+ <I PROPERTY="Projection" VALUE="DisContinuous"/>
+ <I PROPERTY="AdvectionType" VALUE="WeakDG"/>
+ <I PROPERTY="UpwindType" VALUE="Upwind"/>
+ <I PROPERTY="TimeIntegrationMethod" VALUE="ClassicalRungeKutta4"/>
+ </SOLVERINFO>
+
+<PARAMETERS>
+ <P> FinTime = 2.3 </P>
+ <P> NumSteps = 460 </P>
+ <P> TimeStep = 0.005 </P>
+ <P> IO_CheckSteps = 100 </P>
+ <P> IO_InfoSteps = 100 </P>
+ <P> advx = 1 </P>
+ <P> advy = 1 </P>
+</PARAMETERS>
+
+<VARIABLES>
+ <V ID="0"> u </V>
+</VARIABLES>
+
+<BOUNDARYREGIONS>
+<B ID="0"> C[1] </B>
+<B ID="1"> C[2] </B>
+<B ID="2"> C[3] </B>
+<B ID="3"> C[4] </B>
+</BOUNDARYREGIONS>
+
+<BOUNDARYCONDITIONS>
+ <REGION REF="0"> // South border
+ <P VAR="u" VALUE="[2]" />
+ </REGION>
+ <REGION REF="2"> // NORTH border
+ <P VAR="u" VALUE="[0]" />
+ </REGION>
+ <REGION REF="1"> // WEST border
+ <P VAR="u" VALUE="[3]" />
+ </REGION>
+ <REGION REF="3"> // East border
+ <P VAR="u" VALUE="[1]" />
+ </REGION>
+</BOUNDARYCONDITIONS>
+<FUNCTION NAME="AdvectionVelocity">
+ <E VAR="Vx" VALUE="1" />
+ <E VAR="Vy" VALUE="1" />
+</FUNCTION>
+<FUNCTION NAME="ExactSolution">
+ <E VAR="u" VALUE="sin(2*PI*(x-advx*t+y-advy*t))" />
+</FUNCTION>
+<FUNCTION NAME="InitialConditions">
+ <E VAR="u" VALUE="sin(2*PI*(x+y))" />
+</FUNCTION>
+</CONDITIONS>
+</NEKTAR>
+
diff --git a/utilities/LSIACutil/NektarFiles/adrsolver_conditions_p2_40.xml b/utilities/LSIACutil/NektarFiles/adrsolver_conditions_p2_40.xml
new file mode 100644
index 0000000000..0adc1ef1a4
--- /dev/null
+++ b/utilities/LSIACutil/NektarFiles/adrsolver_conditions_p2_40.xml
@@ -0,0 +1,59 @@
+
+<NEKTAR>
+<CONDITIONS>
+ <SOLVERINFO>
+ <I PROPERTY="EQTYPE" VALUE="UnsteadyAdvection" />
+ <I PROPERTY="Projection" VALUE="DisContinuous"/>
+ <I PROPERTY="AdvectionType" VALUE="WeakDG"/>
+ <I PROPERTY="UpwindType" VALUE="Upwind"/>
+ <I PROPERTY="TimeIntegrationMethod" VALUE="ClassicalRungeKutta4"/>
+ </SOLVERINFO>
+
+<PARAMETERS>
+ <P> FinTime = 2.3 </P>
+ <P> NumSteps = 2300 </P>
+ <P> TimeStep = 0.001 </P>
+ <P> IO_CheckSteps = 100 </P>
+ <P> IO_InfoSteps = 100 </P>
+ <P> advx = 1 </P>
+ <P> advy = 1 </P>
+</PARAMETERS>
+
+<VARIABLES>
+ <V ID="0"> u </V>
+</VARIABLES>
+
+<BOUNDARYREGIONS>
+<B ID="0"> C[1] </B>
+<B ID="1"> C[2] </B>
+<B ID="2"> C[3] </B>
+<B ID="3"> C[4] </B>
+</BOUNDARYREGIONS>
+
+<BOUNDARYCONDITIONS>
+ <REGION REF="0"> // South border
+ <P VAR="u" VALUE="[2]" />
+ </REGION>
+ <REGION REF="2"> // NORTH border
+ <P VAR="u" VALUE="[0]" />
+ </REGION>
+ <REGION REF="1"> // WEST border
+ <P VAR="u" VALUE="[3]" />
+ </REGION>
+ <REGION REF="3"> // East border
+ <P VAR="u" VALUE="[1]" />
+ </REGION>
+</BOUNDARYCONDITIONS>
+<FUNCTION NAME="AdvectionVelocity">
+ <E VAR="Vx" VALUE="1" />
+ <E VAR="Vy" VALUE="1" />
+</FUNCTION>
+<FUNCTION NAME="ExactSolution">
+ <E VAR="u" VALUE="sin(2*PI*(x-advx*t+y-advy*t))" />
+</FUNCTION>
+<FUNCTION NAME="InitialConditions">
+ <E VAR="u" VALUE="sin(2*PI*(x+y))" />
+</FUNCTION>
+</CONDITIONS>
+</NEKTAR>
+
diff --git a/utilities/LSIACutil/NektarFiles/p1_40x40.fld b/utilities/LSIACutil/NektarFiles/p1_40x40.fld
new file mode 100644
index 0000000000..1ce1228020
--- /dev/null
+++ b/utilities/LSIACutil/NektarFiles/p1_40x40.fld
@@ -0,0 +1,16 @@
+<?xml version="1.0" encoding="utf-8" ?>
+<NEKTAR>
+ <Metadata>
+ <Provenance>
+ <GitBranch>refs/heads/master</GitBranch>
+ <GitSHA1>dcd2c652e886b6b02c1015c6b9f884356ed0f3eb</GitSHA1>
+ <Hostname>chiron</Hostname>
+ <NektarVersion>4.4.0</NektarVersion>
+ <Timestamp>23-Jun-2017 03:16:51</Timestamp>
+ </Provenance>
+ <SessionName0>./../2Dmeshes/p1_40x40.xml</SessionName0>
+ <SessionName1>./../2Dmeshes/adrsolver_conditions_p1_40.xml</SessionName1>
+ <Time>2.2999999999999732</Time>
+ </Metadata>
+ <ELEMENTS FIELDS="u" SHAPE="Quadrilateral" BASIS="Modified_A,Modified_A" NUMMODESPERDIR="UNIORDER:2,2" ID="0-1599" COMPRESSED="B64Z-LittleEndian" BITSIZE="64">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</ELEMENTS>
+</NEKTAR>
diff --git a/utilities/LSIACutil/NektarFiles/p1_40x40.xml b/utilities/LSIACutil/NektarFiles/p1_40x40.xml
new file mode 100644
index 0000000000..18b577e478
--- /dev/null
+++ b/utilities/LSIACutil/NektarFiles/p1_40x40.xml
@@ -0,0 +1,6590 @@
+<?xml version="1.0" encoding="utf-8" ?>
+<NEKTAR>
+<EXPANSIONS>
+ <E COMPOSITE="C[0]" NUMMODES="2" FIELDS="u" TYPE="MODIFIED" />
+</EXPANSIONS>
+
+<GEOMETRY DIM="2" SPACE="2">
+ <VERTEX>
+ <V ID="0"> -0.5 -0.5 0.0 </V>
+ <V ID="1"> -0.45 -0.5 0.0 </V>
+ <V ID="2"> -0.4 -0.5 0.0 </V>
+ <V ID="3"> -0.35 -0.5 0.0 </V>
+ <V ID="4"> -0.3 -0.5 0.0 </V>
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+ <Q ID="1572"> 3171 3212 3252 3211 </Q>
+ <Q ID="1573"> 3172 3213 3253 3212 </Q>
+ <Q ID="1574"> 3173 3214 3254 3213 </Q>
+ <Q ID="1575"> 3174 3215 3255 3214 </Q>
+ <Q ID="1576"> 3175 3216 3256 3215 </Q>
+ <Q ID="1577"> 3176 3217 3257 3216 </Q>
+ <Q ID="1578"> 3177 3218 3258 3217 </Q>
+ <Q ID="1579"> 3178 3219 3259 3218 </Q>
+ <Q ID="1580"> 3179 3220 3260 3219 </Q>
+ <Q ID="1581"> 3180 3221 3261 3220 </Q>
+ <Q ID="1582"> 3181 3222 3262 3221 </Q>
+ <Q ID="1583"> 3182 3223 3263 3222 </Q>
+ <Q ID="1584"> 3183 3224 3264 3223 </Q>
+ <Q ID="1585"> 3184 3225 3265 3224 </Q>
+ <Q ID="1586"> 3185 3226 3266 3225 </Q>
+ <Q ID="1587"> 3186 3227 3267 3226 </Q>
+ <Q ID="1588"> 3187 3228 3268 3227 </Q>
+ <Q ID="1589"> 3188 3229 3269 3228 </Q>
+ <Q ID="1590"> 3189 3230 3270 3229 </Q>
+ <Q ID="1591"> 3190 3231 3271 3230 </Q>
+ <Q ID="1592"> 3191 3232 3272 3231 </Q>
+ <Q ID="1593"> 3192 3233 3273 3232 </Q>
+ <Q ID="1594"> 3193 3234 3274 3233 </Q>
+ <Q ID="1595"> 3194 3235 3275 3234 </Q>
+ <Q ID="1596"> 3195 3236 3276 3235 </Q>
+ <Q ID="1597"> 3196 3237 3277 3236 </Q>
+ <Q ID="1598"> 3197 3238 3278 3237 </Q>
+ <Q ID="1599"> 3198 3239 3279 3238 </Q>
+ </ELEMENT>
+
+<COMPOSITE>
+<C ID="0"> Q[0-1599] </C>
+<C ID="1"> E[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39] </C> // south border
+<C ID="2"> E[40,121,202,283,364,445,526,607,688,769,850,931,1012,1093,1174,1255,1336,1417,1498,1579,1660,1741,1822,1903,1984,2065,2146,2227,2308,2389,2470,2551,2632,2713,2794,2875,2956,3037,3118,3199] </C> // west border
+<C ID="3"> E[3240,3241,3242,3243,3244,3245,3246,3247,3248,3249,3250,3251,3252,3253,3254,3255,3256,3257,3258,3259,3260,3261,3262,3263,3264,3265,3266,3267,3268,3269,3270,3271,3272,3273,3274,3275,3276,3277,3278,3279] </C> // north border
+<C ID="4"> E[80,161,242,323,404,485,566,647,728,809,890,971,1052,1133,1214,1295,1376,1457,1538,1619,1700,1781,1862,1943,2024,2105,2186,2267,2348,2429,2510,2591,2672,2753,2834,2915,2996,3077,3158,3239] </C> // East border
+</COMPOSITE>
+
+<DOMAIN> C[0] </DOMAIN>
+
+</GEOMETRY>
+
+</NEKTAR>
diff --git a/utilities/LSIACutil/NektarFiles/p1_40x40_cropped_20x20.xml b/utilities/LSIACutil/NektarFiles/p1_40x40_cropped_20x20.xml
new file mode 100755
index 0000000000..58ca5bb5f4
--- /dev/null
+++ b/utilities/LSIACutil/NektarFiles/p1_40x40_cropped_20x20.xml
@@ -0,0 +1,1711 @@
+<?xml version="1.0" encoding="utf-8" ?>
+<NEKTAR>
+<EXPANSIONS>
+<E COMPOSITE="C[0]" NUMMODES="2" FIELDS="u" TYPE="MODIFIED" />
+</EXPANSIONS>
+
+
+<GEOMETRY DIM="2" SPACE="2">
+ <VERTEX>
+ <V ID="0"> 0 0 0.0 </V>
+ <V ID="1"> 0.05 0 0.0 </V>
+ <V ID="2"> 0.1 0 0.0 </V>
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+ <V ID="4"> 0.2 0 0.0 </V>
+ <V ID="5"> 0.25 0 0.0 </V>
+ <V ID="6"> 0.3 0 0.0 </V>
+ <V ID="7"> 0.35 0 0.0 </V>
+ <V ID="8"> 0.4 0 0.0 </V>
+ <V ID="9"> 0.45 0 0.0 </V>
+ <V ID="10"> 0.5 0 0.0 </V>
+ <V ID="11"> 0.55 0 0.0 </V>
+ <V ID="12"> 0.6000000000000001 0 0.0 </V>
+ <V ID="13"> 0.65 0 0.0 </V>
+ <V ID="14"> 0.7000000000000001 0 0.0 </V>
+ <V ID="15"> 0.75 0 0.0 </V>
+ <V ID="16"> 0.8 0 0.0 </V>
+ <V ID="17"> 0.8500000000000001 0 0.0 </V>
+ <V ID="18"> 0.9 0 0.0 </V>
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+ <V ID="20"> 1 0 0.0 </V>
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+ <V ID="23"> 0.1 0.05 0.0 </V>
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+ <V ID="25"> 0.2 0.05 0.0 </V>
+ <V ID="26"> 0.25 0.05 0.0 </V>
+ <V ID="27"> 0.3 0.05 0.0 </V>
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+ <V ID="240"> 0.45 0.55 0.0 </V>
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+ <V ID="244"> 0.65 0.55 0.0 </V>
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+ <V ID="288"> 0.75 0.65 0.0 </V>
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+ </EDGE>
+
+ <ELEMENT>
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+ <Q ID="384"> 783 804 824 803 </Q>
+ <Q ID="385"> 784 805 825 804 </Q>
+ <Q ID="386"> 785 806 826 805 </Q>
+ <Q ID="387"> 786 807 827 806 </Q>
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+ <Q ID="390"> 789 810 830 809 </Q>
+ <Q ID="391"> 790 811 831 810 </Q>
+ <Q ID="392"> 791 812 832 811 </Q>
+ <Q ID="393"> 792 813 833 812 </Q>
+ <Q ID="394"> 793 814 834 813 </Q>
+ <Q ID="395"> 794 815 835 814 </Q>
+ <Q ID="396"> 795 816 836 815 </Q>
+ <Q ID="397"> 796 817 837 816 </Q>
+ <Q ID="398"> 797 818 838 817 </Q>
+ <Q ID="399"> 798 819 839 818 </Q>
+ </ELEMENT>
+
+<COMPOSITE>
+<C ID="0"> Q[0-399] </C>
+<C ID="1"> E[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19] </C> // south border
+<C ID="2"> E[20,61,102,143,184,225,266,307,348,389,430,471,512,553,594,635,676,717,758,799] </C> // west border
+<C ID="3"> E[820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839] </C> // north border
+<C ID="4"> E[40,81,122,163,204,245,286,327,368,409,450,491,532,573,614,655,696,737,778,819] </C> // East border
+</COMPOSITE>
+
+<DOMAIN> C[0] </DOMAIN>
+
+</GEOMETRY>
+
+</NEKTAR>
diff --git a/utilities/LSIACutil/NektarFiles/p2_40x40.fld b/utilities/LSIACutil/NektarFiles/p2_40x40.fld
new file mode 100644
index 0000000000..9d443af5c9
--- /dev/null
+++ b/utilities/LSIACutil/NektarFiles/p2_40x40.fld
@@ -0,0 +1,16 @@
+<?xml version="1.0" encoding="utf-8" ?>
+<NEKTAR>
+ <Metadata>
+ <Provenance>
+ <GitBranch>refs/heads/master</GitBranch>
+ <GitSHA1>dcd2c652e886b6b02c1015c6b9f884356ed0f3eb</GitSHA1>
+ <Hostname>chiron</Hostname>
+ <NektarVersion>4.4.0</NektarVersion>
+ <Timestamp>23-Jun-2017 03:17:59</Timestamp>
+ </Provenance>
+ <SessionName0>./../2Dmeshes/p2_40x40.xml</SessionName0>
+ <SessionName1>./../2Dmeshes/adrsolver_conditions_p2_40.xml</SessionName1>
+ <Time>2.2999999999998577</Time>
+ </Metadata>
+ <ELEMENTS FIELDS="u" SHAPE="Quadrilateral" BASIS="Modified_A,Modified_A" NUMMODESPERDIR="UNIORDER:3,3" ID="0-1599" COMPRESSED="B64Z-LittleEndian" 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</ELEMENTS>
+</NEKTAR>
diff --git a/utilities/LSIACutil/NektarFiles/p2_40x40.xml b/utilities/LSIACutil/NektarFiles/p2_40x40.xml
new file mode 100644
index 0000000000..1c1a97cbf9
--- /dev/null
+++ b/utilities/LSIACutil/NektarFiles/p2_40x40.xml
@@ -0,0 +1,6590 @@
+<?xml version="1.0" encoding="utf-8" ?>
+<NEKTAR>
+<EXPANSIONS>
+ <E COMPOSITE="C[0]" NUMMODES="3" FIELDS="u" TYPE="MODIFIED" />
+</EXPANSIONS>
+
+<GEOMETRY DIM="2" SPACE="2">
+ <VERTEX>
+ <V ID="0"> -0.5 -0.5 0.0 </V>
+ <V ID="1"> -0.45 -0.5 0.0 </V>
+ <V ID="2"> -0.4 -0.5 0.0 </V>
+ <V ID="3"> -0.35 -0.5 0.0 </V>
+ <V ID="4"> -0.3 -0.5 0.0 </V>
+ <V ID="5"> -0.25 -0.5 0.0 </V>
+ <V ID="6"> -0.2 -0.5 0.0 </V>
+ <V ID="7"> -0.15 -0.5 0.0 </V>
+ <V ID="8"> -0.09999999999999998 -0.5 0.0 </V>
+ <V ID="9"> -0.04999999999999999 -0.5 0.0 </V>
+ <V ID="10"> 0 -0.5 0.0 </V>
+ <V ID="11"> 0.05000000000000004 -0.5 0.0 </V>
+ <V ID="12"> 0.1000000000000001 -0.5 0.0 </V>
+ <V ID="13"> 0.15 -0.5 0.0 </V>
+ <V ID="14"> 0.2000000000000001 -0.5 0.0 </V>
+ <V ID="15"> 0.25 -0.5 0.0 </V>
+ <V ID="16"> 0.3 -0.5 0.0 </V>
+ <V ID="17"> 0.3500000000000001 -0.5 0.0 </V>
+ <V ID="18"> 0.4 -0.5 0.0 </V>
+ <V ID="19"> 0.4500000000000001 -0.5 0.0 </V>
+ <V ID="20"> 0.5 -0.5 0.0 </V>
+ <V ID="21"> 0.55 -0.5 0.0 </V>
+ <V ID="22"> 0.6000000000000001 -0.5 0.0 </V>
+ <V ID="23"> 0.6500000000000001 -0.5 0.0 </V>
+ <V ID="24"> 0.7000000000000002 -0.5 0.0 </V>
+ <V ID="25"> 0.75 -0.5 0.0 </V>
+ <V ID="26"> 0.8 -0.5 0.0 </V>
+ <V ID="27"> 0.8500000000000001 -0.5 0.0 </V>
+ <V ID="28"> 0.9000000000000001 -0.5 0.0 </V>
+ <V ID="29"> 0.9500000000000002 -0.5 0.0 </V>
+ <V ID="30"> 1 -0.5 0.0 </V>
+ <V ID="31"> 1.05 -0.5 0.0 </V>
+ <V ID="32"> 1.1 -0.5 0.0 </V>
+ <V ID="33"> 1.15 -0.5 0.0 </V>
+ <V ID="34"> 1.2 -0.5 0.0 </V>
+ <V ID="35"> 1.25 -0.5 0.0 </V>
+ <V ID="36"> 1.3 -0.5 0.0 </V>
+ <V ID="37"> 1.35 -0.5 0.0 </V>
+ <V ID="38"> 1.4 -0.5 0.0 </V>
+ <V ID="39"> 1.45 -0.5 0.0 </V>
+ <V ID="40"> 1.5 -0.5 0.0 </V>
+ <V ID="41"> -0.5 -0.45 0.0 </V>
+ <V ID="42"> -0.45 -0.45 0.0 </V>
+ <V ID="43"> -0.4 -0.45 0.0 </V>
+ <V ID="44"> -0.35 -0.45 0.0 </V>
+ <V ID="45"> -0.3 -0.45 0.0 </V>
+ <V ID="46"> -0.25 -0.45 0.0 </V>
+ <V ID="47"> -0.2 -0.45 0.0 </V>
+ <V ID="48"> -0.15 -0.45 0.0 </V>
+ <V ID="49"> -0.09999999999999998 -0.45 0.0 </V>
+ <V ID="50"> -0.04999999999999999 -0.45 0.0 </V>
+ <V ID="51"> 0 -0.45 0.0 </V>
+ <V ID="52"> 0.05000000000000004 -0.45 0.0 </V>
+ <V ID="53"> 0.1000000000000001 -0.45 0.0 </V>
+ <V ID="54"> 0.15 -0.45 0.0 </V>
+ <V ID="55"> 0.2000000000000001 -0.45 0.0 </V>
+ <V ID="56"> 0.25 -0.45 0.0 </V>
+ <V ID="57"> 0.3 -0.45 0.0 </V>
+ <V ID="58"> 0.3500000000000001 -0.45 0.0 </V>
+ <V ID="59"> 0.4 -0.45 0.0 </V>
+ <V ID="60"> 0.4500000000000001 -0.45 0.0 </V>
+ <V ID="61"> 0.5 -0.45 0.0 </V>
+ <V ID="62"> 0.55 -0.45 0.0 </V>
+ <V ID="63"> 0.6000000000000001 -0.45 0.0 </V>
+ <V ID="64"> 0.6500000000000001 -0.45 0.0 </V>
+ <V ID="65"> 0.7000000000000002 -0.45 0.0 </V>
+ <V ID="66"> 0.75 -0.45 0.0 </V>
+ <V ID="67"> 0.8 -0.45 0.0 </V>
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+ <Q ID="1571"> 3170 3211 3251 3210 </Q>
+ <Q ID="1572"> 3171 3212 3252 3211 </Q>
+ <Q ID="1573"> 3172 3213 3253 3212 </Q>
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+ <Q ID="1577"> 3176 3217 3257 3216 </Q>
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+ <Q ID="1583"> 3182 3223 3263 3222 </Q>
+ <Q ID="1584"> 3183 3224 3264 3223 </Q>
+ <Q ID="1585"> 3184 3225 3265 3224 </Q>
+ <Q ID="1586"> 3185 3226 3266 3225 </Q>
+ <Q ID="1587"> 3186 3227 3267 3226 </Q>
+ <Q ID="1588"> 3187 3228 3268 3227 </Q>
+ <Q ID="1589"> 3188 3229 3269 3228 </Q>
+ <Q ID="1590"> 3189 3230 3270 3229 </Q>
+ <Q ID="1591"> 3190 3231 3271 3230 </Q>
+ <Q ID="1592"> 3191 3232 3272 3231 </Q>
+ <Q ID="1593"> 3192 3233 3273 3232 </Q>
+ <Q ID="1594"> 3193 3234 3274 3233 </Q>
+ <Q ID="1595"> 3194 3235 3275 3234 </Q>
+ <Q ID="1596"> 3195 3236 3276 3235 </Q>
+ <Q ID="1597"> 3196 3237 3277 3236 </Q>
+ <Q ID="1598"> 3197 3238 3278 3237 </Q>
+ <Q ID="1599"> 3198 3239 3279 3238 </Q>
+ </ELEMENT>
+
+<COMPOSITE>
+<C ID="0"> Q[0-1599] </C>
+<C ID="1"> E[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39] </C> // south border
+<C ID="2"> E[40,121,202,283,364,445,526,607,688,769,850,931,1012,1093,1174,1255,1336,1417,1498,1579,1660,1741,1822,1903,1984,2065,2146,2227,2308,2389,2470,2551,2632,2713,2794,2875,2956,3037,3118,3199] </C> // west border
+<C ID="3"> E[3240,3241,3242,3243,3244,3245,3246,3247,3248,3249,3250,3251,3252,3253,3254,3255,3256,3257,3258,3259,3260,3261,3262,3263,3264,3265,3266,3267,3268,3269,3270,3271,3272,3273,3274,3275,3276,3277,3278,3279] </C> // north border
+<C ID="4"> E[80,161,242,323,404,485,566,647,728,809,890,971,1052,1133,1214,1295,1376,1457,1538,1619,1700,1781,1862,1943,2024,2105,2186,2267,2348,2429,2510,2591,2672,2753,2834,2915,2996,3077,3158,3239] </C> // East border
+</COMPOSITE>
+
+<DOMAIN> C[0] </DOMAIN>
+
+</GEOMETRY>
+
+</NEKTAR>
diff --git a/utilities/LSIACutil/NektarFiles/p2_40x40_cropped_20x20.xml b/utilities/LSIACutil/NektarFiles/p2_40x40_cropped_20x20.xml
new file mode 100755
index 0000000000..13ae3f9c90
--- /dev/null
+++ b/utilities/LSIACutil/NektarFiles/p2_40x40_cropped_20x20.xml
@@ -0,0 +1,1711 @@
+<?xml version="1.0" encoding="utf-8" ?>
+<NEKTAR>
+<EXPANSIONS>
+<E COMPOSITE="C[0]" NUMMODES="3" FIELDS="u" TYPE="MODIFIED" />
+</EXPANSIONS>
+
+
+<GEOMETRY DIM="2" SPACE="2">
+ <VERTEX>
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+<C ID="1"> E[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19] </C> // south border
+<C ID="2"> E[20,61,102,143,184,225,266,307,348,389,430,471,512,553,594,635,676,717,758,799] </C> // west border
+<C ID="3"> E[820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839] </C> // north border
+<C ID="4"> E[40,81,122,163,204,245,286,327,368,409,450,491,532,573,614,655,696,737,778,819] </C> // East border
+</COMPOSITE>
+
+<DOMAIN> C[0] </DOMAIN>
+
+</GEOMETRY>
+
+</NEKTAR>
diff --git a/utilities/LSIACutil/Tests/2Dtrimesh.fld b/utilities/LSIACutil/Tests/2Dtrimesh.fld
new file mode 100644
index 0000000000..e7ef9678b8
--- /dev/null
+++ b/utilities/LSIACutil/Tests/2Dtrimesh.fld
@@ -0,0 +1,13 @@
+<?xml version="1.0" encoding="utf-8" ?>
+<NEKTAR>
+ <Metadata>
+ <Provenance>
+ <Hostname>mth240</Hostname>
+ <NektarVersion>4.3.5</NektarVersion>
+ <Timestamp>03-Jul-2017 14:36:27</Timestamp>
+ </Provenance>
+ <SessionName0>2Dtrimesh.xml</SessionName0>
+ <Time>0</Time>
+ </Metadata>
+ <ELEMENTS FIELDS="u" SHAPE="Triangle" BASIS="Modified_A,Modified_B" NUMMODESPERDIR="UNIORDER:3,3" ID="0-71" COMPRESSED="B64Z-LittleEndian" BITSIZE="64">eJw9lHk0FWgYxmkhkkpdayW5CCGaKGW+tCehjBlJtKskRFpVNJRCEbJVomkxLTpRUnxCyHBVyp5KlDbpZGllOvd9bv3T6fc8z3duv/ciJUV/yt2TPn/p8mWX6W+eP7V1SV9DKJsywGS08o6l/Cn9mw/dLHDdELd8ejbyMvAL1GOCFbRXHUi7s+CS9zrxvnZCj4tU9BF2LrUxYqGfOX94V3ZnoEcgD0FfE/kF8NySwhMf93oydbw/M4l2/uD90bfB+zeTvuu47k9ktgoV0/tr/cm7j07t67wewr3Rz0cuH0V88uKxuY2uwSwG7+cNo9148Cr0HVdSXpttnrhQ9wxb/TiwXVv6Ly4r2hLXPSCUf3Og/i3kmhXEw2yrm/Kao1iCxI+Idpnw/vumvILDjudZb6+5c7/Y4/xetImbWXcGezWEPBaK+mY0X0/lbejfQX4dvB1+E/poP1SOdrngmeh34n1pu3Jv1cBrrOcaeXQxqZ3vceUEr0BfkjuBr4TfNXhf7RLtdMAHoF+G9y30zuhelbnJrMaRR4dJvjfCTVO5NfpjkP8wI94vmfwOkrIQ782G0i4L3mXRd8P7G0oL0hxXcaZVRR715sbkmTr99IC+B/LWOcTrcI9MfP6watpJvOdMePChUPEaq3c9vFYvfT3X+DxBqbg7m0UMJo9dxmvuLTUP5m7oD0G+2oh4BfzOXkl7MyXalYB/76G+Ld633L/c/V6/22zxV/IovfuZcJRiAC9Dfx7yXYHEVeA3xIv2RWW061xE3Az97y6Un5qZuHWpzR22UpM8Coq62iaaBnFFvJOMPJYT14FfvVW0LxPQThs8Bf2eFZTrt3i1vO4tYmfbyeOslG3LTgcEcU301ZCbnSTui3vYrqZ9x2vaXYT3+BC7J0GZBWx+VfGMRaEH+amUWCObwmKWPI483pCR+vYxI47Xoh+JfDP4ONxDt472SdgNBw9HP7aa8qufA4wGiUpZa9kTscdYvxfx1QVHuS76J5ALwe3hlzXSvsOOdkvA96P/sZLyWU4G6yPGVDBdVfLYpOG9M+d5LLdC3xD5KFXiV+E3t572Ebq0SwLXQF8Bn79/why5dx/us1kp8D8u65a8WhyPQl+S62gTN8I9nBto3yy7R7xLg3f5qncxgUoVbLvsk7Dkn99nd8N9HrvkH7CXyuRx601h1zqHaC650wrkldnEJfeQ7G/3GIt3PuAe6LvKUW7b5a6msOAh81RoEns8nm4i9Bp2iPuhb4G85hzxw/D7eiDtd+TT9/8UuAH6I5ELqtVynjY/YnH65DFyT97lzXFRPAJ9GeRTwO3g9/Rw2jfjbpPA+x5Tvwz/v1YzqWT7GzUsvY/8Vy+YbC9XGsWF6HciD7Mhrol7ZAyjvWga+deBd03nkY6K6jVM1FqkXZV4hNtYrtldPq2ehUmT//R1KtkjvJL4KPQXIxduJO4PvyWvaa+uRbsl4DPRv9tA+Z5Qv8jMuw3skYg8tsspFV5sjOHr0Y9EfmAw8Tnwu+wV7a2d6PtvBR6O/qsWyh8XPxFpdTWx4QfJ417rrPwRYYncEv1c5GMtievjHlvbab9+Nu2Uwa+iPx9+9CxSSxRMn7OTo8mjxsDK7C93E/kg9DWRZ30RiXkX7pHVQfuat3Q3S3if2dNiUPClkQUGNy+7PHsr7/Ac67lo+jM23pY8un9WnlTmH/arL8nnfiK+AH7jA2hvaEC7ZeCd6Kdtp/xFk8taDZXnrK2YPOo4jKjxKt/H56EvyRc6E78Fv/NSaV9oST83QeDl6FsHUr7BrfTA5PpmJqgrF3t8zlO1ndlBvg395cgDrhA/C7/Vm2gfsoP8V4LvRL8ykXJR36bg9tstrC+N/Bd5j5xfEHWQS+6ag3yhC3HJPVacpL2uHe2mwHv9W1kZA5MXrE5rt+uGYSE8/NB1kfrEVpbyg36PfPtP1+cPhxiuhf4h5AYlxPtvIr9HTGlv5Ub+B4KfQT/ckHIVwQ1+Qf8l+/6BPPZK+2609o/4dXdZ5Fve+4h5O/wKjWl/yJ92neD90K9FzjPjMx7pt7FyDfKo1BaZ4RZ+jLein4O8oYW4xG+ECu3fXqSdH/gD9E9Nonxjin32fZs3zECZPIZM8z5yPv8Y90HfHLm6BfFS3CMan69uF+4G7x6eg89MTXvPwszfbE8Yncp/mHpF1Ch2/Px9Th6LnOoGXwpK5/nof0Me70A8BX5PW9PeMYF2/4J/Rd94BuU6+i6Thec7mG/vM7FHgVXyD52Gf3go+iOQ6xsRHwq/udNpf/op/dwogGuiz5FH/5YtbHj2kcmrkEcZ1e0+95svcCX0A5BbC4jXwm8XPl9UN+2KwYPQN8H79l/dU5QNP7GL4fR7xN+4LWrxkHQuQn8u8h1axLfhHubYt/69V7z7H+hOqeQA</ELEMENTS>
+</NEKTAR>
diff --git a/utilities/LSIACutil/Tests/2Dtrimesh.vtu b/utilities/LSIACutil/Tests/2Dtrimesh.vtu
new file mode 100644
index 0000000000..3908b4414a
--- /dev/null
+++ b/utilities/LSIACutil/Tests/2Dtrimesh.vtu
@@ -0,0 +1,3245 @@
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diff --git a/utilities/LSIACutil/Tests/2Dtrimesh.xml b/utilities/LSIACutil/Tests/2Dtrimesh.xml
new file mode 100644
index 0000000000..6d3aa9d30c
--- /dev/null
+++ b/utilities/LSIACutil/Tests/2Dtrimesh.xml
@@ -0,0 +1,326 @@
+<?xml version="1.0" encoding="utf-8" ?>
+<NEKTAR>
+<EXPANSIONS>
+<E COMPOSITE="C[0]" NUMMODES="3" FIELDS="u" TYPE="MODIFIED" />
+</EXPANSIONS>
+
+<CONDITIONS>
+<SOLVERINFO>
+<I PROPERTY="EQTYPE" VALUE="UnsteadyAdvection" />
+<I PROPERTY="Projection" VALUE="DisContinuous"/>
+<I PROPERTY="AdvectionType" VALUE="WeakDG"/>
+<I PROPERTY="UpwindType" VALUE="Upwind"/>
+<I PROPERTY="TimeIntegrationMethod" VALUE="ClassicalRungeKutta4"/>
+</SOLVERINFO>
+
+<PARAMETERS>
+<P> FinTime = 0.0 </P>
+<P> NumSteps = 0 </P>
+<P> TimeStep = FinTime/NumSteps </P>
+<P> TimeStep = FinTime/NumSteps </P>
+<P> advx = 1 </P>
+<P> advy = 1 </P>
+</PARAMETERS>
+
+<VARIABLES>
+ <V ID="0"> u </V>
+</VARIABLES>
+
+<BOUNDARYREGIONS>
+<B ID="0"> C[1] </B>
+<B ID="1"> C[2] </B>
+<B ID="2"> C[3] </B>
+<B ID="3"> C[4] </B>
+</BOUNDARYREGIONS>
+
+<BOUNDARYCONDITIONS>
+ <REGION REF="0"> // South border
+ <D VAR="u" VALUE="x" />
+ </REGION>
+ <REGION REF="1"> // West border
+ <D VAR="u" VALUE="x" />
+ </REGION>
+ <REGION REF="2"> // North border
+ <D VAR="u" VALUE="y" />
+ </REGION>
+ <REGION REF="3"> // East border
+ <D VAR="u" VALUE="x" />
+ </REGION>
+</BOUNDARYCONDITIONS>
+<FUNCTION NAME="AdvectionVelocity">
+ <E VAR="Vx" VALUE="1" />
+ <E VAR="Vy" VALUE="1" />
+</FUNCTION>
+ <FUNCTION NAME="ExactSolution">
+ <E VAR="u" VALUE="(0.156434465040231*x+0.987688340595138*y)^2" />
+ </FUNCTION>
+ <FUNCTION NAME="InitialConditions">
+ <E VAR="u" VALUE="(0.156434465040231*x+0.987688340595138*y)^2" />
+ </FUNCTION>
+</CONDITIONS>
+<GEOMETRY DIM="2" SPACE="2">
+ <VERTEX>
+ <V ID="0"> 0 0 0.0 </V>
+ <V ID="1"> 0.2520563151464129 0 0.0 </V>
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+ <V ID="37"> 0.3703711931921408 0.6812498933082679 0.0 </V>
+ <V ID="38"> 0.6053009603197226 0.6812498933082679 0.0 </V>
+ <V ID="39"> 0.8448329703625446 0.6812498933082679 0.0 </V>
+ <V ID="40"> 0 0.783930075347391 0.0 </V>
+ <V ID="41"> 0.2520563151464129 0.783930075347391 0.0 </V>
+ <V ID="42"> 0.3703711931921408 0.783930075347391 0.0 </V>
+ <V ID="43"> 0.6053009603197226 0.783930075347391 0.0 </V>
+ <V ID="44"> 0.8448329703625446 0.783930075347391 0.0 </V>
+ <V ID="45"> 0 0.9743760203823336 0.0 </V>
+ <V ID="46"> 0.2520563151464129 0.9743760203823336 0.0 </V>
+ <V ID="47"> 0.3703711931921408 0.9743760203823336 0.0 </V>
+ <V ID="48"> 0.6053009603197226 0.9743760203823336 0.0 </V>
+ <V ID="49"> 0.8448329703625446 0.9743760203823336 0.0 </V>
+ </VERTEX>
+
+ <EDGE>
+ <E ID="0"> 0 1 </E>
+ <E ID="1"> 1 2 </E>
+ <E ID="2"> 2 3 </E>
+ <E ID="3"> 3 4 </E>
+ <E ID="4"> 0 5 </E>
+ <E ID="5"> 1 6 </E>
+ <E ID="6"> 2 7 </E>
+ <E ID="7"> 3 8 </E>
+ <E ID="8"> 4 9 </E>
+ <E ID="9"> 5 6 </E>
+ <E ID="10"> 6 7 </E>
+ <E ID="11"> 7 8 </E>
+ <E ID="12"> 8 9 </E>
+ <E ID="13"> 5 10 </E>
+ <E ID="14"> 6 11 </E>
+ <E ID="15"> 7 12 </E>
+ <E ID="16"> 8 13 </E>
+ <E ID="17"> 9 14 </E>
+ <E ID="18"> 10 11 </E>
+ <E ID="19"> 11 12 </E>
+ <E ID="20"> 12 13 </E>
+ <E ID="21"> 13 14 </E>
+ <E ID="22"> 10 15 </E>
+ <E ID="23"> 11 16 </E>
+ <E ID="24"> 12 17 </E>
+ <E ID="25"> 13 18 </E>
+ <E ID="26"> 14 19 </E>
+ <E ID="27"> 15 16 </E>
+ <E ID="28"> 16 17 </E>
+ <E ID="29"> 17 18 </E>
+ <E ID="30"> 18 19 </E>
+ <E ID="31"> 15 20 </E>
+ <E ID="32"> 16 21 </E>
+ <E ID="33"> 17 22 </E>
+ <E ID="34"> 18 23 </E>
+ <E ID="35"> 19 24 </E>
+ <E ID="36"> 20 21 </E>
+ <E ID="37"> 21 22 </E>
+ <E ID="38"> 22 23 </E>
+ <E ID="39"> 23 24 </E>
+ <E ID="40"> 20 25 </E>
+ <E ID="41"> 21 26 </E>
+ <E ID="42"> 22 27 </E>
+ <E ID="43"> 23 28 </E>
+ <E ID="44"> 24 29 </E>
+ <E ID="45"> 25 26 </E>
+ <E ID="46"> 26 27 </E>
+ <E ID="47"> 27 28 </E>
+ <E ID="48"> 28 29 </E>
+ <E ID="49"> 25 30 </E>
+ <E ID="50"> 26 31 </E>
+ <E ID="51"> 27 32 </E>
+ <E ID="52"> 28 33 </E>
+ <E ID="53"> 29 34 </E>
+ <E ID="54"> 30 31 </E>
+ <E ID="55"> 31 32 </E>
+ <E ID="56"> 32 33 </E>
+ <E ID="57"> 33 34 </E>
+ <E ID="58"> 30 35 </E>
+ <E ID="59"> 31 36 </E>
+ <E ID="60"> 32 37 </E>
+ <E ID="61"> 33 38 </E>
+ <E ID="62"> 34 39 </E>
+ <E ID="63"> 35 36 </E>
+ <E ID="64"> 36 37 </E>
+ <E ID="65"> 37 38 </E>
+ <E ID="66"> 38 39 </E>
+ <E ID="67"> 35 40 </E>
+ <E ID="68"> 36 41 </E>
+ <E ID="69"> 37 42 </E>
+ <E ID="70"> 38 43 </E>
+ <E ID="71"> 39 44 </E>
+ <E ID="72"> 40 41 </E>
+ <E ID="73"> 41 42 </E>
+ <E ID="74"> 42 43 </E>
+ <E ID="75"> 43 44 </E>
+ <E ID="76"> 40 45 </E>
+ <E ID="77"> 41 46 </E>
+ <E ID="78"> 42 47 </E>
+ <E ID="79"> 43 48 </E>
+ <E ID="80"> 44 49 </E>
+ <E ID="81"> 45 46 </E>
+ <E ID="82"> 46 47 </E>
+ <E ID="83"> 47 48 </E>
+ <E ID="84"> 48 49 </E>
+ <E ID="85"> 0 6 </E>
+ <E ID="86"> 1 7 </E>
+ <E ID="87"> 2 8 </E>
+ <E ID="88"> 3 9 </E>
+ <E ID="89"> 5 11 </E>
+ <E ID="90"> 6 12 </E>
+ <E ID="91"> 7 13 </E>
+ <E ID="92"> 8 14 </E>
+ <E ID="93"> 10 16 </E>
+ <E ID="94"> 11 17 </E>
+ <E ID="95"> 12 18 </E>
+ <E ID="96"> 13 19 </E>
+ <E ID="97"> 15 21 </E>
+ <E ID="98"> 16 22 </E>
+ <E ID="99"> 17 23 </E>
+ <E ID="100"> 18 24 </E>
+ <E ID="101"> 20 26 </E>
+ <E ID="102"> 21 27 </E>
+ <E ID="103"> 22 28 </E>
+ <E ID="104"> 23 29 </E>
+ <E ID="105"> 25 31 </E>
+ <E ID="106"> 26 32 </E>
+ <E ID="107"> 27 33 </E>
+ <E ID="108"> 28 34 </E>
+ <E ID="109"> 30 36 </E>
+ <E ID="110"> 31 37 </E>
+ <E ID="111"> 32 38 </E>
+ <E ID="112"> 33 39 </E>
+ <E ID="113"> 35 41 </E>
+ <E ID="114"> 36 42 </E>
+ <E ID="115"> 37 43 </E>
+ <E ID="116"> 38 44 </E>
+ <E ID="117"> 40 46 </E>
+ <E ID="118"> 41 47 </E>
+ <E ID="119"> 42 48 </E>
+ <E ID="120"> 43 49 </E>
+ </EDGE>
+
+ <ELEMENT>
+ <T ID="0"> 85 9 4 </T>
+ <T ID="1"> 0 5 85 </T>
+ <T ID="2"> 86 10 5 </T>
+ <T ID="3"> 1 6 86 </T>
+ <T ID="4"> 87 11 6 </T>
+ <T ID="5"> 2 7 87 </T>
+ <T ID="6"> 88 12 7 </T>
+ <T ID="7"> 3 8 88 </T>
+ <T ID="8"> 89 18 13 </T>
+ <T ID="9"> 9 14 89 </T>
+ <T ID="10"> 90 19 14 </T>
+ <T ID="11"> 10 15 90 </T>
+ <T ID="12"> 91 20 15 </T>
+ <T ID="13"> 11 16 91 </T>
+ <T ID="14"> 92 21 16 </T>
+ <T ID="15"> 12 17 92 </T>
+ <T ID="16"> 93 27 22 </T>
+ <T ID="17"> 18 23 93 </T>
+ <T ID="18"> 94 28 23 </T>
+ <T ID="19"> 19 24 94 </T>
+ <T ID="20"> 95 29 24 </T>
+ <T ID="21"> 20 25 95 </T>
+ <T ID="22"> 96 30 25 </T>
+ <T ID="23"> 21 26 96 </T>
+ <T ID="24"> 97 36 31 </T>
+ <T ID="25"> 27 32 97 </T>
+ <T ID="26"> 98 37 32 </T>
+ <T ID="27"> 28 33 98 </T>
+ <T ID="28"> 99 38 33 </T>
+ <T ID="29"> 29 34 99 </T>
+ <T ID="30"> 100 39 34 </T>
+ <T ID="31"> 30 35 100 </T>
+ <T ID="32"> 101 45 40 </T>
+ <T ID="33"> 36 41 101 </T>
+ <T ID="34"> 102 46 41 </T>
+ <T ID="35"> 37 42 102 </T>
+ <T ID="36"> 103 47 42 </T>
+ <T ID="37"> 38 43 103 </T>
+ <T ID="38"> 104 48 43 </T>
+ <T ID="39"> 39 44 104 </T>
+ <T ID="40"> 105 54 49 </T>
+ <T ID="41"> 45 50 105 </T>
+ <T ID="42"> 106 55 50 </T>
+ <T ID="43"> 46 51 106 </T>
+ <T ID="44"> 107 56 51 </T>
+ <T ID="45"> 47 52 107 </T>
+ <T ID="46"> 108 57 52 </T>
+ <T ID="47"> 48 53 108 </T>
+ <T ID="48"> 109 63 58 </T>
+ <T ID="49"> 54 59 109 </T>
+ <T ID="50"> 110 64 59 </T>
+ <T ID="51"> 55 60 110 </T>
+ <T ID="52"> 111 65 60 </T>
+ <T ID="53"> 56 61 111 </T>
+ <T ID="54"> 112 66 61 </T>
+ <T ID="55"> 57 62 112 </T>
+ <T ID="56"> 113 72 67 </T>
+ <T ID="57"> 63 68 113 </T>
+ <T ID="58"> 114 73 68 </T>
+ <T ID="59"> 64 69 114 </T>
+ <T ID="60"> 115 74 69 </T>
+ <T ID="61"> 65 70 115 </T>
+ <T ID="62"> 116 75 70 </T>
+ <T ID="63"> 66 71 116 </T>
+ <T ID="64"> 117 81 76 </T>
+ <T ID="65"> 72 77 117 </T>
+ <T ID="66"> 118 82 77 </T>
+ <T ID="67"> 73 78 118 </T>
+ <T ID="68"> 119 83 78 </T>
+ <T ID="69"> 74 79 119 </T>
+ <T ID="70"> 120 84 79 </T>
+ <T ID="71"> 75 80 120 </T>
+ </ELEMENT>
+
+<COMPOSITE>
+<C ID="0"> T[0-71] </C>
+<C ID="1"> E[0,1,2,3] </C> // south border
+<C ID="2"> E[4,13,22,31,40,49,58,67,76] </C> // west border
+<C ID="3"> E[81,82,83,84] </C> // north border
+<C ID="4"> E[8,17,26,35,44,53,62,71,80] </C> // East border
+</COMPOSITE>
+
+<DOMAIN> C[0] </DOMAIN>
+
+</GEOMETRY>
+
+</NEKTAR>
diff --git a/utilities/LSIACutil/Tests/2DtrimeshNU.fld b/utilities/LSIACutil/Tests/2DtrimeshNU.fld
new file mode 100644
index 0000000000..b861f70b37
--- /dev/null
+++ b/utilities/LSIACutil/Tests/2DtrimeshNU.fld
@@ -0,0 +1,13 @@
+<?xml version="1.0" encoding="utf-8" ?>
+<NEKTAR>
+ <Metadata>
+ <Provenance>
+ <Hostname>mth240</Hostname>
+ <NektarVersion>4.3.5</NektarVersion>
+ <Timestamp>03-Jul-2017 16:37:29</Timestamp>
+ </Provenance>
+ <SessionName0>2DtrimeshNU.xml</SessionName0>
+ <Time>0</Time>
+ </Metadata>
+ <ELEMENTS FIELDS="u" SHAPE="Triangle" BASIS="Modified_A,Modified_B" NUMMODESPERDIR="UNIORDER:3,3" ID="0-323" COMPRESSED="B64Z-LittleEndian" 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+</NEKTAR>
diff --git a/utilities/LSIACutil/Tests/2DtrimeshNU.vtu b/utilities/LSIACutil/Tests/2DtrimeshNU.vtu
new file mode 100644
index 0000000000..d9b1caafb3
--- /dev/null
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+7.85061717e-01 9.82272208e-01 0.00000000e+00
+7.85061717e-01 9.82272208e-01 0.00000000e+00
+
+ </DataArray>
+ </Points>
+ <Cells>
+ <DataArray type="Int32" Name="connectivity" format="ascii">
+0 1 4 3
+3 4 7 6
+1 2 5 4
+4 5 8 7
+
+ </DataArray>
+ <DataArray type="Int32" Name="offsets" format="ascii">
+4 8 12 16
+ </DataArray>
+ <DataArray type="UInt8" Name="types" format="ascii">
+9 9 9 9
+ </DataArray>
+ </Cells>
+ <PointData>
+ <DataArray type="Float64" Name="u">
+ 1.08644721e+00 1.15112018e+00 1.21766281e+00 1.13989500e+00 1.17277227e+00 1.20611695e+00 1.19462609e+00 1.19462609e+00 1.19462609e+00
+ </DataArray>
+ </PointData>
+ </Piece>
+ <Piece NumberOfPoints="9" NumberOfCells="4">
+ <Points>
+ <DataArray type="Float64" NumberOfComponents="3" format="ascii">
+ 7.85061717e-01 9.30978954e-01 0.00000000e+00
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+8.52106273e-01 9.82272208e-01 0.00000000e+00
+
+ </DataArray>
+ </Points>
+ <Cells>
+ <DataArray type="Int32" Name="connectivity" format="ascii">
+0 1 4 3
+3 4 7 6
+1 2 5 4
+4 5 8 7
+
+ </DataArray>
+ <DataArray type="Int32" Name="offsets" format="ascii">
+4 8 12 16
+ </DataArray>
+ <DataArray type="UInt8" Name="types" format="ascii">
+9 9 9 9
+ </DataArray>
+ </Cells>
+ <PointData>
+ <DataArray type="Float64" Name="u">
+ 1.08644721e+00 1.09740673e+00 1.10842124e+00 1.15112018e+00 1.15675340e+00 1.16240037e+00 1.21766281e+00 1.21766281e+00 1.21766281e+00
+ </DataArray>
+ </PointData>
+ </Piece>
+ </UnstructuredGrid>
+</VTKFile>
diff --git a/utilities/LSIACutil/Tests/2DtrimeshNU.xml b/utilities/LSIACutil/Tests/2DtrimeshNU.xml
new file mode 100644
index 0000000000..698ccdfac1
--- /dev/null
+++ b/utilities/LSIACutil/Tests/2DtrimeshNU.xml
@@ -0,0 +1,1103 @@
+<?xml version="1.0" encoding="utf-8" ?>
+<NEKTAR>
+<EXPANSIONS>
+<E COMPOSITE="C[0]" NUMMODES="3" FIELDS="u" TYPE="MODIFIED" />
+</EXPANSIONS>
+
+<CONDITIONS>
+<SOLVERINFO>
+<I PROPERTY="EQTYPE" VALUE="UnsteadyAdvection" />
+<I PROPERTY="Projection" VALUE="DisContinuous"/>
+<I PROPERTY="AdvectionType" VALUE="WeakDG"/>
+<I PROPERTY="UpwindType" VALUE="Upwind"/>
+<I PROPERTY="TimeIntegrationMethod" VALUE="ClassicalRungeKutta4"/>
+</SOLVERINFO>
+
+<PARAMETERS>
+<P> FinTime = 0.0 </P>
+<P> NumSteps = 0 </P>
+<P> TimeStep = FinTime/NumSteps </P>
+<P> TimeStep = FinTime/NumSteps </P>
+advx = 1
+advy = 1
+</PARAMETERS>
+
+<VARIABLES>
+ <V ID="0"> u </V>
+</VARIABLES>
+
+<BOUNDARYCONDITIONS>
+ <REGION REF="0"> // South border
+ <D VAR="u" VALUE="x" />
+ </REGION>
+ <REGION REF="1"> // West border
+ <D VAR="u" VALUE="x" />
+ </REGION>
+ <REGION REF="2"> // North border
+ <D VAR="u" VALUE="y" />
+ </REGION>
+ <REGION REF="3"> // East border
+ <D VAR="u" VALUE="x" />
+ </REGION>
+</BOUNDARYCONDITIONS>
+<FUNCTION NAME="AdvectionVelocity">
+ <E VAR="Vx" VALUE="1" />
+ <E VAR="Vy" VALUE="1" />
+</FUNCTION>
+ <FUNCTION NAME="ExactSolution">
+ <E VAR="u" VALUE="(0.156434465040231*x+0.987688340595138*y)^2" />
+ </FUNCTION>
+ <FUNCTION NAME="InitialConditions">
+ <E VAR="u" VALUE="(0.156434465040231*x+0.987688340595138*y)^2" />
+ </FUNCTION>
+</CONDITIONS>
+<GEOMETRY DIM="2" SPACE="2">
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+ <T ID="321"> 330 340 511 </T>
+ <T ID="322"> 512 350 340 </T>
+ <T ID="323"> 331 341 512 </T>
+ </ELEMENT>
+
+<COMPOSITE>
+<C ID="0"> T[0-323] </C>
+<C ID="1"> E[0,1,2,3,4,5,6,7,8] </C> // south border
+<C ID="2"> E[9,28,47,66,85,104,123,142,161,180,199,218,237,256,275,294,313,332] </C> // west border
+<C ID="3"> E[342,343,344,345,346,347,348,349,350] </C> // north border
+<C ID="4"> E[18,37,56,75,94,113,132,151,170,189,208,227,246,265,284,303,322,341] </C> // East border
+</COMPOSITE>
+
+<DOMAIN> C[0] </DOMAIN>
+
+</GEOMETRY>
+
+</NEKTAR>
diff --git a/utilities/LSIACutil/Tests/2DtrimeshNU.xml~ b/utilities/LSIACutil/Tests/2DtrimeshNU.xml~
new file mode 100644
index 0000000000..a1cb876c93
--- /dev/null
+++ b/utilities/LSIACutil/Tests/2DtrimeshNU.xml~
@@ -0,0 +1,1107 @@
+<?xml version="1.0" encoding="utf-8" ?>
+<NEKTAR>
+<EXPANSIONS>
+<E COMPOSITE="C[0]" NUMMODES="3" FIELDS="u" TYPE="MODIFIED" />
+</EXPANSIONS>
+
+<CONDITIONS>
+<SOLVERINFO>
+<I PROPERTY="EQTYPE" VALUE="UnsteadyAdvection" />
+<I PROPERTY="Projection" VALUE="DisContinuous"/>
+<I PROPERTY="AdvectionType" VALUE="WeakDG"/>
+<I PROPERTY="UpwindType" VALUE="Upwind"/>
+<I PROPERTY="TimeIntegrationMethod" VALUE="ClassicalRungeKutta4"/>
+</SOLVERINFO>
+
+<PARAMETERS>
+<P> FinTime = 0.0 </P>
+<P> NumSteps = 0 </P>
+<P> TimeStep = FinTime/NumSteps </P>
+<P> TimeStep = FinTime/NumSteps </P>
+advx = 1
+advy = 1
+</PARAMETERS>
+
+<VARIABLES>
+ <V ID="0"> u </V>
+</VARIABLES>
+
+<BOUNDARYREGIONS>
+<B ID="0"> C[1] </B>
+<B ID="1"> C[2] </B>
+<B ID="2"> C[3] </B>
+<B ID="3"> C[4] </B>
+</BOUNDARYREGIONS>
+
+<BOUNDARYCONDITIONS>
+ <REGION REF="0"> // South border
+ <D VAR="u" VALUE="x" />
+ </REGION>
+ <REGION REF="1"> // West border
+ <D VAR="u" VALUE="x" />
+ </REGION>
+ <REGION REF="2"> // North border
+ <D VAR="u" VALUE="y" />
+ </REGION>
+ <REGION REF="3"> // East border
+ <D VAR="u" VALUE="x" />
+ </REGION>
+</BOUNDARYCONDITIONS>
+<FUNCTION NAME="AdvectionVelocity">
+ <E VAR="Vx" VALUE="1" />
+ <E VAR="Vy" VALUE="1" />
+</FUNCTION>
+ <FUNCTION NAME="ExactSolution">
+ <E VAR="u" VALUE="sin(PI/2*x)*sin(PI/2*y)" />
+ </FUNCTION>
+</CONDITIONS>
+<GEOMETRY DIM="2" SPACE="2">
+ <VERTEX>
+ <V ID="0"> 0 0 0.0 </V>
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+ </ELEMENT>
+
+<COMPOSITE>
+<C ID="0"> T[0-323] </C>
+<C ID="1"> E[0,1,2,3,4,5,6,7,8] </C> // south border
+<C ID="2"> E[9,28,47,66,85,104,123,142,161,180,199,218,237,256,275,294,313,332] </C> // west border
+<C ID="3"> E[342,343,344,345,346,347,348,349,350] </C> // north border
+<C ID="4"> E[18,37,56,75,94,113,132,151,170,189,208,227,246,265,284,303,322,341] </C> // East border
+</COMPOSITE>
+
+<DOMAIN> C[0] </DOMAIN>
+
+</GEOMETRY>
+
+</NEKTAR>
diff --git a/utilities/LSIACutil/Tests/DG.dat b/utilities/LSIACutil/Tests/DG.dat
new file mode 100644
index 0000000000..0dd4b1bd33
--- /dev/null
+++ b/utilities/LSIACutil/Tests/DG.dat
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diff --git a/utilities/LSIACutil/Tests/DG.fld b/utilities/LSIACutil/Tests/DG.fld
new file mode 100644
index 0000000000..4d4d3f8f27
--- /dev/null
+++ b/utilities/LSIACutil/Tests/DG.fld
@@ -0,0 +1,13 @@
+<?xml version="1.0" encoding="utf-8" ?>
+<NEKTAR>
+ <Metadata>
+ <Provenance>
+ <GitBranch>refs/heads/master</GitBranch>
+ <GitSHA1>3441e8a5c22977156efee6c6bb75a21cbac649b4</GitSHA1>
+ <Hostname>mth240</Hostname>
+ <NektarVersion>4.4.0</NektarVersion>
+ <Timestamp>03-Jul-2017 14:42:33</Timestamp>
+ </Provenance>
+ </Metadata>
+ <ELEMENTS FIELDS="Uoriginal" SHAPE="Quadrilateral" BASIS="Modified_A,Modified_A" NUMMODESPERDIR="UNIORDER:6,6" ID="0-83" COMPRESSED="B64Z-LittleEndian" 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</ELEMENTS>
+</NEKTAR>
diff --git a/utilities/LSIACutil/Tests/DG_error.fld b/utilities/LSIACutil/Tests/DG_error.fld
new file mode 100644
index 0000000000..4c15f4f3b9
--- /dev/null
+++ b/utilities/LSIACutil/Tests/DG_error.fld
@@ -0,0 +1,13 @@
+<?xml version="1.0" encoding="utf-8" ?>
+<NEKTAR>
+ <Metadata>
+ <Provenance>
+ <GitBranch>refs/heads/master</GitBranch>
+ <GitSHA1>3441e8a5c22977156efee6c6bb75a21cbac649b4</GitSHA1>
+ <Hostname>mth240</Hostname>
+ <NektarVersion>4.4.0</NektarVersion>
+ <Timestamp>03-Jul-2017 14:42:33</Timestamp>
+ </Provenance>
+ </Metadata>
+ <ELEMENTS FIELDS="UerrorOriginal" SHAPE="Quadrilateral" BASIS="Modified_A,Modified_A" NUMMODESPERDIR="UNIORDER:6,6" ID="0-83" COMPRESSED="B64Z-LittleEndian" 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HOBnV8rH7UQsm5rsX//YeQH79Tx9GaPcT/BWpO60Nf+BzfhNe6VvFGFafW8nKHgpjhYo/Wy+kobCaxhG2qERkH7ilSUwrhUXVfxkj5LF4867b10ktA2wzfXSyKigPndNEkzKnfOEWG98DmvAAFOgsemyinQE0FgaE93TpEOH2Ykfjcj7e2Ii3oeHIhomwSg6mNCsk3O1RqiNxx2tzA0tbn3yBo/+OpDNlNL4ojKdbiP+KswOv3TnfIaZyfCAymofD5d+XgrwtnUE9oZXl23ULPH5D63N/SR5AP/14tmY8ytjJ9SwwhoH8uL1NxD4HoIpiuBmuHghlRzNUW8l90Dpb+EtStTt2CWcl2W/FwC2XgKU/SlrwRKG9OV/XAu6Pc2ZS3vyKlqPdHFErOXimzSXoIFsdXl+9flA4uxo6tKYzTQ4Xodon8e99qx5YteZ63i00DMQ1IqL3icUD+aR7orq0LxhcZG/r31eAx7VV7g2RFYP/obTsZ0NO+NLA3bFTxweM5rUcDswlYFSlfNqVmEAofzavWHw5ElgfKq6Ipf9C86vG6fZF2jh2nUuyS+AjqJLaZZ/pU8fyoa0+qdgUzBxsvHL6f16ZiX88LsmVCFRGKgvhAT9BWo08Xt8gGG7Z0J0/VV2C886xwbKZEdizMce0LOqDrQUCvlt5kXjDl3+Sq6IIcgrU070DcuCzzqbkEdIB1GhuHL32Mxm+vQkO97rZgdQPnmVOQgSQ7aUIzNE1YD7F4WcVnETcPBfsIv9hEZ4JxlyxulGKpeFy1rd9pkDUWyphrTwWmxiXbt7+XIukdrQsW89NYON266+NT0NwnPXbKZGKMRzWv15oXNABY/pi7d7n63H5ySMqo9tNWCpU8ZH6vSkcay6lPNQyAQ1HaSZVtzrw8PLYtGxANAxop+t/iUpDI6t+CCfPxMknveXCI1GwP+CN3GvKCki97f06160ahRR2wnn9HfGVkIOD2kAzWrAqDXz/fw+Kg3ZOgzxRQJw4fNNyshW96htkz/fXwquWx7EWL9twMinPimUxE/al6YdsBYdhxMqh9AQxXxg7ZKD4SjMW9E5701JzFGLDzIMPcjLvsUsx18yAIQ2lJrzuaZSVwXYQnzPDISOUzJTI5vQhI/y61iq0IDCAF3OCe0m+zEFYQXXVtcdZWNqrPcCS0QFbgdkuQUMpULms5drPv4rNx4/Z3RjoA49RYrYq9TBuRVC+Ot5cD29Fn4rFrNbgvIMBqdrnYvQZP/Dyd+MsRBeyyqVnliHce8lvyNMBPzKvOWsNR+B85H63wxuFwG4bozEvGQ4f6BlEJcm7sXvslGDclzJ4799J3llYhwl/nOhK64pBTvEv2UaxNzDqTLGarFjDQ9NM27CBKnDxs/sTLpyFvQZkiildb0DHSV8hd9gAnr3Y2DhSnQdkdMd+7OSkAfHma30y8TDcZt2X6W/bjCRakpkCu3n47cyHhgtbmZhmdTwW50tgUMb4JPduNXJRuinwIBlhJEfk38nFYXBWUbb26m6G3jjz7fi6AmhVfb6s+X+O5mK5TZzTc3CAx+l0pWQlOIh6mtadQfh9WlvbQKQCRm9mTx7Ny4ODOlpuTd3+sE8k1+2xaAou4AP6T1YFMFTXNetnUA43eEa9w6bSgZqn/qJe4XdIGCioFqLzw0wlJcNC0i/Qa0WvoCCfDsHDGvxFX+JQpDL5oG1aCTDn3xbMd8+FG4febBkpRYNoKjzJyAyC8YE/R7IEpkEmOjP2W3o4ttrXHGcp9cD4H2ccHKstoIM74A2HXCoIp4ZWVdS4A19+t1bDXDqaJLyfmaz1xQuzBWb3R9zR01VCV+xcHpaPG3w7xpiGake/j2wKRiKMeRxd/h6Nlca949uM1fjMtHXfa41mOOvNLPSipAF26jvJP258wRUmJr2lnVwMML7LlsNVgcfv1kWrX6oBpo3cgD/kLYCH85kcL/QDE1OM59yrYHCWSPZV+2cJvL8v5LeWRiG9RJartV8DSC/Ut4sTa+FvlW1r5lIz+Pi+uXWmzRLDC3lvnzj7HTF6ChzfRgPb4+7bl5OL4dBxhQbDvBp48MeSZ/ptFeSd4Os6lRQPpDq5e42apeA2QkkqvpgDtir5kWJTaSgfobcieTsM/t3/A0cmtNFeWun23asV0EBUkRx6SIScG9lF/CMD6OacyZaf/hMc807GPT4ygqxuyTfEROOwutNwndR7GOWztXWMKH8DsGcIPxH8B0ZEXnk6c0RTSeWFsEtrcPlmYujtsFAwSa/4ZFv6G/Pu2mfmBoahdJIap85kH3678kP4Re8ABnBbvguiXYIffZ5ON29k4aG6c21GD+tR6rR5APNiHGTdYo24w4+YUHmO7VXdIPrumTzZHzsC2UOCK9HnyrDol06kolMTpknXXghTDgON03lroyntwPhWVqj5/BCeSrEhaq4PAZnxvGkhzTfULKpf/KSWDeY+lC94qcuB6pFLyB5vH5YdPr1FoEjHba7Pt6pHPIF7QuvxF7FYXOKdOZrNUAfBb+lr741UgnyNQ+xc4xDeztCt8NJIx67fwV/0/vlh428HvW8Xo+F2s3i+eko3ssv+UTnxoRvDTnRQDlEcIEjevaWRaZKLva/kPzv3pcNPVupqHixBd/onl4UdyzGKjbz9pUoOxh7opVdKaIUULfbRAt5aFA9oVZngKwRNaZHyza/NKBfDe/P+fVeIqu1rynCNRmsJ7vfJPdkg3hU6dT0rBL63HuxUW89BFyGJE/W8dnh7WNVpzSID88ci2ab641DJ5qzNJbFeqI6KU3u/E4PVwdNJf0mq4QTrbWfjp6WY/KWQjb0wFkqNpW4l1fqB5t++7XP8SkhS/hlSV02wT/2V7KpSFGjrRV5mP6GCvTQ8z4IfhUHKpHamdmgFnBJdTXjqVoc9cm4L/XlNeNmnSPJfbRuSHo9nen8kGLXWH6oHKERhUerNnSeHOpDz+nZkGMka6BxtiBF73AZ3j1rb2IdOwbAWT4ALbwbyHPlFMkSXi/+fXavHVMpwvcmbu3tuBOUvu1AuzDfBqjO9mR3jKPSoe1Kfdk3D2wX6DG7zXijOFLLyss0Pg8+5UFP97MO2u2ktuRQ5ENvXFp93qwSwTHAllj4NRc6blUVVuKNYXwTbln8aelby/+wtqELxx796exTqoDp306OruBY4euYIXskxEJqYmp/k2QIz5dfOnDofDcfkWk1CvDuQxfN4pm/YCLzmPZMXsTKOUU2EzyH0VcBn3tZV69oEQcfyN637euDkmHkki+MG6vGcfni1eRIzDzkGduTU4Y6rd8efiEGkDu18N1i7jL9YDhM/S84h6pZm/fDmImzIqHzVzVsD2XXV3GHvPaiZ29HU+L4ExE93X0hoDkJ5zcOPt0Vm8YCKC7PUhwGI/6PkV3yfnmDiyHA4i2oD9yn61t78tgmHW99JCVzsRfuBgU8s16ZR16dpUesFJSGhc5f2icEaCDc1st781wqzr94eePltBGjynK2PfemB0MJ9imMiNchN1fj05MVJbOruNqALWofoFtbWy2kz6ODrTqmd0wv27eQq/dPZYP955/0MVQYou4Qz8b9sRVraX09uSGSAiR3JVcNn3kDbK6KcsJuJ05bNpMeFf8DChuwnsbQ8qHxLW7PeUgJX7If+mhaX4ICJDMtOvCsU9NLccTmdhaprL50onGvx1vNbTg77k0BN4t4nr2MLoHxgOWXD6X8/aPa0df4/B9/apBb3UjpARMJOMUK4DI52MPcL/kzGVZNGybGFUdyllIykTMnDEw+bX/yKDQNh4B4a8ivHRDqLnSD+Tzj14EolVYQ3WrI9tI0pKsV/mc99JRnygTKoIr1jrxXt2UjsSquaIffwPpIPwz5QovSIfL7oA9ppTapzS5WhdsuPx6ZlueimuE+ZKJIP3/y7nuVf2ilYHlimT9GqA9f4jpy3R4iQZi2st093Ei2r1J04c0vxYPbLRP6BdOgrON1+QDsNNWdSM77LdMAEqyWF05dW4CK98Tmlch2Z/kVlJO9UIeXNvu96wT4o1Lihz+CXiZh78+/jmgX8I6nS8a4sEeW354KVaU8Qgrkv+4omdsHprBwv8ppCdF6eGjzH0AhWLs60gcrF+IIES0qLqzHk3JvxAfVOcNQW4pb6FQaHjCSvGhxqAB6G+c9xVjlQ3l714XhsGmgIi4bMb36H9mtUz6nje/GDKVX2g4kMKNDe7d7XXIJ0rjk1XlPl8KRgJ5y//heu03j8XUrPx1EC7RBotsMx/6cdSYXFYDaw4Zgo1QQSNwVnrc/kgGXoRffjBo3QYncnOr22Fcile6K25MaRube/pexdCVpMpCQlW5WAHW8XvZ/qTwxLGjybMlMOez3HwoMkmmHcKcJTlX4KIx+RdflUNmLLfJyF2OI0jpgqBt0UbkM5pujlr96dSKkUldH+dBLpSfblyTcdJUxuyvjStI+CM5WIryPXLkQ4dzSE0C6CEdPM1wnWehy1HzGKS2hG15iIjEcx0zirK/DOpLkYKz1P3gkK3ILvj+SfMfd1g8HJffF9VHFwfZtJ/b3zL3wfpoSZQVNYtg9ng4LLoZX0ePp5rR7QGueUMpnqg0buTeVB85j/+Wi3lZqXhc9dnxno5PSiKtXaPrWBNLiZsm/7kkM7lCoxr0RAE7if78xXnOkGUvrFP3sCqVg5/dZTPLsPo4UUNEZ1F6GQs+Emd94YKiQaPRE/3gx6y1XuYfox8MHmbvXSVir843shziiQCMrPDor6x1ch8+OH/npMbWg6VDzqVJeG9LbxSZGOQ3iU+Tn9mc1xOKp0mt99dw+Mau4tahpREuWlftx5Jk9JYKp7Ek7XP46v+87I5lVPAss395Cipd/oE/Zxku8iCXFsZM0o4vEO7EQ0850wGcWYi2EcQptDcJ0qxiyRehrfiOVIvblZh+R+hgoHmygIeSTUn9/QTmHh+NDayRMrsCQeEClrEQt0oq+ULx9uh86HFKt20zkof/HyYNX8DMYqlBzLTJkBNttxYdKGKtzZajYM5+iAYSOWoprRZuA881n+oSAB3YjVKRefDqL/6CHIWpqCtYbPhh4H2rGDm1v4snctJIoy/5Py6QYtF/tfX+71A2Xbfp3ElGmkOEcS0cBZi31SFtQ6g6Fg8ER5WG0pHpJ3ZsSPt6yiC+nfdfRoRl+rlTdxR7kJvdpmvk7r2+h286YRZfc8HLTofVwrN4lFO7c6uJt74UKIqfSdwnrsPe3Iqza6jKoYMxBZvgIyxpGrbTx9qKa9NPN4MhAGX8a7C8zX4oLNNWsRL38spTsbz98/DnlfJablKRqwyUHB7e5ANq7ov0wfPtuI34lpO6eLw2G2yedvAmMROu4EpGWXlEIb1XW6i7WdsEZ56kXRbgZ82mIx+XU7BW1Ffo/fKPGH92IqD5n2lcPS0vmDJS1RaN7H4cu33QbpmUsiRxb6wOJ15UW5411w77Xw6peqNlAxpVCSvVMKTneZf4t6zmHyq0sKdVeG4PGHRooHYlNo1TpxVucSEWIg+Zrc2CQefX17MGb/AMZKZR87sclCYB29d/UpCxmR9K0q1cKJGmDfkrwz8WcFSaNpZ47WdmFs2IiYlMwoPr1ulcKtcIDASJNeeuoIKUGsgv4twZWCwBV+jxIeLUNafGzq3kgjZuKtfQrWFcAjNJJQpdmKvMGNB8KDNpBeOJtVZ20UDzHH3nnUPoLaWcYXdOzSoH7trUjNw2mcLjrr3TdMTlBzUkyTivoHVyPiaBrfrYLihU1O7YFxkD5vumNqlw6d1/Uei1kUw1Y7u5orSQH+ibSkufIxC06xCh5lr0+Eg4S+ptTeNBCTIYrbrHeAQshz0uS5Bjj391KhyptlZDr8+qd8Xicq/163HOOqwc3crKlg6v/nbPavq+SfRQeC2ry+7ziC5p1dvv20hGKb73yZbwqBk6L43I0LrfDhaOi9AfJZqJXklxwQfgVm+Sr4arwN1UJE/fa3jUAKqVszpfEaBDz7se3gtACjjQyy9P5z4CMh+zi3NwObKu89Vj40hp1fr/YcL9oDfRmJtKr3q/B3Oap00WIWGonjJIJpw3C9sfqbDHkVWGy/sBL8UIaUT4Xppq53o0F21Vhb/xjYXoLvjwsy0bsi8vWEVCaUcUhlWCs2gu3NvDsBIiXQzkMj2dsziYVqKz0J3Wkwb26zbs/ViYv77lYMhxdgUALnIe7/eRV0Q6GC8aUVnkrt0XFW78Hh1pj9041pOLP1Pmj9Xwo0Vs98Vop1xTdfDUgffhlD0lNQ8MMzAQPF/FkWZbeAv6bztG7BGLC6ahkV865ApwOrLZvUMPbUhcXp22QhrbvJz5wnzXDyaUqgwskZXJ+0+7b4tAA9LwnXGDjk4pUOfbcp81SQ/9pi49cUgUZz18s1j+Tir29duZRuNcAv7zEWmhsAth1Gn1vy2uEkrVnH4546KCUJkNDOyINOp/tTCQtVqKxxYNNhsAf6ZN2lz9ItgKvhIwUXzmJk3Snrq8dFaKfVTi8/WAHcxGIqvuOfYNwnoz3yQhUIcgQSX3xNAioap3aDsTyYp+x5If47AjRsb53RoeyDHyTsXXfI0sFs/JAu6ac2jIh4FHuHdwFUmTmqQoJm0D38e5X4tXqgXDU2u4sNwD5w2zpNORNYqRQUlk/2Qo32gt+LeRqiCcWMw3YFCWGO61fRg+UlXOdKpLWT6sGlPcZ0VbVMmHyqKa/4i5SYp9beME/yF/PyggStz22Cj+aqdxf3IqK055f7R5qRO4e8PT6qGcR5iEEnn65ioNOEEWXKKo7ReT9492oIiul5bo8XL2KvQcLlY/97GHX+cm1pEUJQ1DZDgPU0Lp5qZrlV0Y9zE/yFO+pNkMtCl00nOIJC/gLtrLndYCwfaD+fngWhD9t8HJZH8Ogr5bJ1lSY82+6wtHKoBe4Wjt1wNUwD31sJ3GMcbRBzM1bqYkQDKLxhaAs9PYO+L5wDm/ni4AD9/Nsv6/E4Yufw7DZHGdhSfHjY/3was4/bhA8pjkESnZP0IsMGyBamNRcGJ2GSxUnxQPpZ7ExK3101mcWn990rHS+MgXDdr9ejnmXInEn4t9bfCBm+kZPnIjdQ9kStZXTVEsjbs5xf4h/CQuS6fEqoE2PCXxrMl1fBK/b+5+OME/hpm0pn/XYvsLqRf3V7MYtbTz+b97X34fksUoPuLC909VQk5x0pgFwD9ZBDqam4wquWkOu6hOrpU6pvaUrgXRExzj+hHyMrzRVcaeqA27nAtSXXAWaM47/yz7Vjkb26YWBQHHj7xN6xuPq/d95zeeynNow4eMrznvhvWFK1WudnbIFO2/pAj7NTuBpyjv7ysjE43N69JmjjAn4GZU4vEzJh3w0+2YWwaAyzvZszHbsE/pve5uYLs+j7zvtuvdUc5utKW8+xDEFiLc0NMdNF8N5/rZJupQ2fvhQc1MjPwR9nm/2LxebgHjvlpRC/EmTPeprxFtKwVPnUHtWXFSyP4+QmWLrCBTODPDLuEpA632Kc1TGNzk/wvUxSD4oeO89GWpSAvFm6/5zGGmH08BFpd+1IeH7ei0Y6IxAkvFyHjxX2oPfxGoqwjULoup/MVuQziN2GIHzhbSdOXlrvF2QugLmHKU9PxFTCcMFK5LpfO56Lc/HWtSkBUq/ZwoDXNfD88kiKw1gzCjg5ZudlN0F/NNVBr2vN4LQR4pllM4RrBLkLujstyHnbnnJbrhwby9tE/vnmIYnYrapPfrNYOXTKn4I4hJlP58TrHJgI/LLHGEaZW1GWITK3ysgHW94Mfcju+QNLYU9eaVW2489un5NXGNpgqNJbN8xtBKbcveWdn00AMLFnv14ch6UBOlL2fz3Yle3Vx3QlDZQpM5m9eRrQK66ZyZOxGU/ObDMWs6ZjLk2v7YFMQ4CVe0355zqAtKq+zcmuACVizxrf8SqG8AUazWNbZXDvflTIMlMqWDidu0D3ogVCNPysPjBWImmcjvbd35lQSozfiCpJB8LJq72PP9SgSG8vjZxAKWa8ru/3Lc8DRYu00GTdGFT6sXDnss4Q8Db0XPD3bQbd1ztjtfIbKGwVc++IZSOG5zsTKQ3C8Xgp35EPV37jzRW3Cwfzp/D6o7njS+dGMV1yYrtRjYZQNpBnoHeThJAjMO787NIMPjBjCQr3XoZOKdaZNJUBdA1ztLpEWY7xwsc8BfwXoUTOq/4Gezf+y65L+uM2BsfOXhHYvNsDJzTs9Fj7OvBom0ZTiWQBvvjyaKpVZQW8a793+AtlY+4pQ00lRwTHixSU3ldG4Mq3/b1Jdb9BOYosKssvDv7c4jthQzWJvmoqCqLKYagtL5hAVt8NI8IPVrLna4FTX1tM/10jCP712jf7wxtbNH6KZYoWQ83OVJQf3Rxk9lNkcN1rQ2XGpP0p9G3wk8KGVubsLwwupJ56djgUxE9ld8W8Wwehk2xuI5nNyKXg2io42gr3GKdkRK4n4ltO5UwN6zhwe7//0KH3A+Br9oAsvYqa6BU3WD0wtItTS+kXqgM6kP38gcmPDVP42O7PPX+mCcisPXW0XXYIW12md005aIgG902Wym/TEbK/9p/MKN/EfQIJi1N9E7BQtDlp96kFN7ej7rAtfEXu+1S7DlFToPQ3tMu+oAU0ZKlenMgYRAP2vYIy6So8Hu7iwuneBl8Ncq2DNFox+fjazWckbcB5q/dm1g0yQixl+Xxd2yjyOgW3J9uPA/W2lYqNRiEYbh+r6QxpBzbXku0m6Rmg99th4cguwikh3ZqlnxV497mbYtdeNv557ex3Qr4fzlLa/MmyLQGG+NRV8pBhfMjPdIWzphybrxizFuZ9B4otc75DbRnIRcO/mJA+hzm0PMts40QUvqCdZ2E/DxSB1tuFXq1IRUvLcd5hDD4IOIdPdzdDcJuinYZEHt6guqb8o6sM91oC1YNO/e+rdwMGuN5E4/K5D3K6Bb346GVe5tV9ZXihnItxoOgnJmjUt6bMfcYtt5zAxv29UNn2jqJOvAAHbS4dPkjaDOefxSjqXWmFqLjHKaeES4B394MuJElj6An5sqieUSTXfsf3928r9JU3GvrK9eL99yI7d/aqQfB1iD5BrBRcSC3Zf/jnQm+a8c5F2Sq4P/uOLVd+BH7x7wb9mu/FKSm6eM9X//8PywGaV4TqoPsKeXz8ZAv0B39uDxOYQ5nJJKfxH134jt9ua6QsCSo5oTU6sQy3uVSSJEMrMFBJ/curzP+5l6PsanSwGcJnWpIkGYdxcO7Nv0Pfu6F9WsXq9Kkl/Ga+zmt1Ohq3I1gP+2iWgI9Zo62deA3u/xRvlfSrCI5ITByrS5nBOK8j16c/dMJn7dVERr54mKsQrw7c6MSJL8mp9lVTcE6+MeBR1xyoDp6Kth8dhdeSCnf463uhaNDWwLMhHVI6WjwuPkqBXe7fDGWfyv/nlf/WvpwBWNlHmD9LN4qM0RzWDb6N4HVuQ+Rbez7UfNnQDGrrgZ17x58LCI7hPLW51ytDdzBaD7kiX1cKPueo7k9n9sB0Y9luKFcFHD2Bh4b1gsGw5Pu218IGnOcZDaT5NIqJow0simJFyB1d2Ee22oyPSCkMQgfK8eWb7XHX5AwsUsv8iXoHiCK77jcshHpAgdS906LzGx54+I+1bmUK1Z99s3fPLAIv5+wfVBXjgKv9olxue8hiEmKtPbcO53eH559I/4F3p7y1dN1JCf4CKtSaX0twJ1Ku17dwHnnIU788lCAniCdkmQ3o5yHXR8Nj3vWzMOUT/D7caQ43yk68fMPdAYVfI5I2qFtg9ui42dHsRdxpf27iwjYPo3+1CI1yf/DYeEeRkdoWHCE983dFrhw+qL/Nz05rglcN5ab8Poto9kPKwny1BLDZMn3TpBs5xeyW1Hm6gfHK0ZiO//dxOVeWN3FgDMICRMi1yFfw8+yd2B8OQ3gdBd02A36AyEVKpa7tVoyzKnowwbuJ4lT7LiQM/sVMueVbZvKnCYrHLYOjvpZjiLNiUWzVKhicGss4H9qCtFHE/P2cCHUDF5XlAoawev2chYrSEHSeq9R5abkBl56/4a67M4OGjpUbFnkbQGz/LbYdUgILVu2JD96kg1L+8+ZbilP4xCK9ILg+CXVaJaRC9W5h380TBkJ9xWgiaM7Fc74FlNWpdTV36lHV5tElPkI36mrP5a5Zr8Ae2xUiff8AmiwH+/vLLUHExv3hGKt8cLyWGHX80RhEn+XfeRjyvyfKKjhrXCnDgbdmq6+iyqA/LXBZZKENn3idv5TJMQiaxjlah04UQ4AR69TFGxM48TNJYfbwLAQxqO757C7inL0nqbtbJSQRLSo3k2bwXuxGFuvSFJLlFvaIXqIg/HaXFDNnH8FgKoEb36hXQDrw/jAN5yyE3tAxaYgYR//z3U0F2Wlo/W3fBcOxIeBryWW/5bSDN8g89jrdNkFmcSOLX2QdxUX/DcQL5aAvXXH1vHg1HlxlFUymWgO7Tiu+cfZp8LypEvSpNgcfsr3alDQagiPtFs6ZlL7geNVJp9neH89xzSgYy43ABiV7p37GKKgnqqQqkgXhrPS21X6hbvz4etzNhbwHrjzhLrbWdYMJm1ero/QLGCv5+USQzjBcs/HWWRorxe4G3aQa1WZooTh1gUniN1x7KLpxXxWhuTXasCupDZvkaj81/hlCp0PLD/Zt1OMBuafXNhp9sXHwksFbskkU4tHokhLthv4i20um+jSE56J2z37XUxLLaax3l7+2gyNZpWDegzUUUm5Pnhicg5zfmgY/9yIArNM5Vjr3UHHqr3eY9wYU5ydRRDm1QQ09tUS+1iTIfOzop2odx0fMqiOXNCLwo8cfIYb/eyG4/81sqnobsvxT8WUnaYb4U7ZV04/qsKiuYVjh5RDIZ7sEFhk2oMqP8/jpSit2Bs64bub9BfuQC45qBqH4RUXQrChtEug23x4abB8G+ONO5nnvD7Dw+M93ppETf5u5sf9lCIe6fbzV/W71UBSYYfPiZwQ0n6p6tbKzDNeb7qkvafyFa6XrdL3XWYjG5py+18yH0KpGMEoy5BDxgGX1q58NeSgnfeGkdA8V8dkpw+/BS4eIjyzvF8yPCBEWTk99cKXbxkcRdxrZW08TyF0HrF2uLuPpLymf2lpWcOWRWrZJ3hIeZn2ewB6+APRdveri35vA+GXS0KozN8HzBHOFjew6Hprw0KKSHsfWZJ+DRyM20MkhUr398gGCRhKlx6uHpITJJoZREjUWwt0wmSPvL0+hEf94cd9AFeZ8eaJ0OHEZ41OfBJ1ipiY8HiCZ+6xKTohnuO/o/pSGwPC2XFPWGCGzQl/3i9841ASzy7nHjgGLzeFqDrs9DODTXWz40oS8JwNYptgzcN37yxmV7WKMzLcvi3s1Cqpvtfwaa2dhfcBH9vRFOiLtEVjXeVWKDP1uo8ZhNchw+jbjvuJKOBzK0711aB+xY9jzdf8OJVH0Xk7DsyeihGE+6YuxNvlIktShOMC5BrZ0yxL7zzShWK7IK+XoTpxJFy1lP5eKJfRLRGmhGnw2+fKIruUU/q1afNhNWQ5zRNcVxqFp7H/LK2zL6oufnvdwZdWFY1f1Gx6jSifQqY2Ki5fMwOVLJz630TaANo3kqERbLyaQ5Kisi5TC14dZRZfns6Du38m6yqYRhI5z6YbBvaDBfVos9dMQsq1/Cco8kwuS920zMxZTkFSTlUTQqB9MFkbenKWcxD8eQxcvqS7goInk3XyLEfxceIVBc6QaL+tX37Iq+QVW6p35oyWDUF5Kq7JRs4rvLJIYPpROYrbFS1FWzVEMS87YVdVoxyDiieJBizXYEnpwQoHvHx7HmMxOOzrCDu+O1IFuVoL330S6qRJagn/xAqMxHxFF92T1arnzkJ/knLb4lVykdVostjZbAqqpAEUL42IY6BpdZHrdCCoMTEfxTy2w5d1cEJJrg6dftGf1CjaRLfLFeeFySgLFie9Szs/pCJtLzYSq4FEYeE7z8tOZdeAhtRgsmUc4rtT29a5GJggPrRa0mi6jhbTUb1HPSPhOc2eG9EQnsjS/Z76oPI62Jt76tcqdIJO8nMxzbQByFgdp9VNnUZR/mEgwHEWefgsjhv5kVHmXtr9VogytwvhMiiLHIfw5/eUnx+fgkcRnabmC/cSSgA22+/OVQO0hSl97uh7pfjafun+uH2596LrcJUlCtH7415xvdB8xYmTsB9uF0wSb5LvXurtXccrcSjhFcxRYkh//7p5bwdyLo/r+Z4ew4udza6bgKhh33fdpXKINNxKTrjNUbaLfNfKmpgv9cK2RY/6V3BKW87+uEHvmBYwl+wfaSEfxlsyZyq74dUhxYjGpj/oLI1XHlZKY/0CkcomAqkQxaKltsS07NcF5AX5fzdvzcNuMVcpYaT+xVLNts+XiMo5cbpnbvDSHy0EO5HmnAuH+l4fTthdnocrwoJ//mWB0mL/c1Ne9jpp+bDraG8NgHik7aJTSBT+sWAqXfYfxlPzd4irnVhjw/+b+I2gEWGiLGksiN9Bs/Xp5jEwnJkZvdV0M38Ke9PCTdEtNKMfIc7SDbxfj74kF//EgITRHKca3Ke8jZC/Ufop9OgJEmmd1i6QUhJs/nti8vk9BEH0QzbLCX4RaEqqHp7mG0EcherjzxDBmGjfsumSQETseMs8dZGYmaD7/BRxznWhCo8f5i7oHPBp+gfNqNX4TMb1FMkdCZOsi8JnBGhAKDuqdlC4BqBTksLzVB14SHzV0WWpgVIfZ7XxeExYia0rexABeqWjR+5Y3DXfi/NfIFFqg/Kj5x5Czq5BGW2o92TUFppSGVOfVx0HPyv3ZoA8lUZDS1Tbu/34Uspqe1nzaBiHTzRNW5s2Y+NDNbjxkBYK9s3fX1BahPEmt8MNVJuLOwshanVU/SlLuvKBPWEWfjldtdKYLGLJ8w0nC4gCRvCbmz+NfNETnMNOGYA4BwsGvRtIKx3bg1M/AyqzOcTjw6UXHvSAawmhjusBs9DQqr6d8tSipw8SJqtm0RxvwQ9dON916FEXHDynSag4BuZSn7ccYIlTcX7FKKJpHUomaDcbDDTAf1K3KP7IHlkecn4lsrWLE5XvPm+5tYEKBUhXRqRmeE/JV80/2oM9CGJfrnSpwMjGV57Kcwfc/P8QS5oawb0MkeJk1Ew9dXbKo8+nHvcPljXoXivE967niawWzIHa82tYjvAgyi8P2hlnIiUOxHWvYO4Gsh43ziGLdyE6s6xHsGoHgfsVVdrV2sFMTTnbdt477nz+lF2eoh+JnHYdTiBXgd/9gJzNxBcguPRkvDSclLCx5ba9okRFtOIRGoji7YduTZ/tIAjXBsIHIPnJiFzRoh6nossiJlsapR6j3L+OqqRVxmdgJHxWojyfNbENz+7UXyySrWFEp1CywvAeja7CSHrGHE+XTdqVi9ehOmVSWYt8L84OuLlPvKvHOa6Oa8Tvb6OXRLPqA6X8PrXemZ7elJL7Ap966nUPYoOgverYjGiMu2fHXdZMQUqh6SW+UNKPXV9vQqrwFMDpcIhP0bwO7J1KiZD7vQc43z0WxQ3+hVPjpPckMDiL1nobpYNAWCCidra3iYSF2iOe/eDE6AqKvQkyVK//CynG3R7E//0B7gf6+GSVG4u1HfFIu/dV4conXWLz4L0z/Mbi6WxuLuboxoebvOYj/qiOjFvIPEq3Cq4MaosQJAbTcTkZpHMSqT6/pQ7wPERKMjYkdHvuIwqLFkZdObAK3ZZ+EHutv6D+pEa1z8hTxvaVZhthZDgKd8ZHhsbNniTw1v80v8O0jkCetKob1MBHnuCZOPOOeg1bRYPI/jCwEjQaVNT42bqKL5wZbcQ8tUa37mdesDBkx/LJB9RXSRTjBcfp53ud2tJWh/rexwUC0sl+rUhxnIrTZppWrsR4kJp5eu1imQ0E42b/w1Pt6HLJHBppQqI1D1a6Q1ozwGqYaXlGEgiGsXPEL3j1eB50bD8RRNhn0bh60zncchWHKUwalfpWgyf6DzO/dLhi6akgfcZ1ES0PGU5bn05H0q4Du97hqHNVZuLTW/b+XxbbQu/WREtJM+CTX3c4Q2MYC9XbvrkCRtbzjp+gSOFkj4CCv3Y7TRRlq0p9HUSyq96L0n0GMq9fP0JpbBC0Bo93rb5rQlF7uxAP9Vah0pHZ3ujEMLQqUqvnhHWDxrU4i2/cNDKsHfeArWcHoN3fUSp8tQPywYkYEaRMItfys6FashO8bfPvXAlrxCds5WE9phU023bUfHh9Qr7Tv/LmIFVzfGvCsLH6P7x31CtJIh9HXQT7N2HUJ9tmaWOiRlaGmTAyZbvAmDi9u55nG/4UfjmLfKQqKwaSWylG+rxCKAgzo498XQke+mSUvaStEPjqr+G5tGv7JyJ4awz6YVttJbehshBM8ftmf4zJQoE0nLUZ+CTVsp3XJQhEoeCxvTE5yEujO21HGVdMTSfVFyGPOkxC3+f61nq2Og+cRHfhZcxoMXjEe+phWj2ev3uVeml8H7d7zE27u1ITYO0aauUzzSMbFJxHhNQ2qx57fSA6pQI1rB8oVvcYheND50FW1fzhzJXbohB8Z8ejcOyqe/3MS4PmwPGD/InLCuRGWtmbwXLKm0ulpx96G9EhewgRIGTxpY6jfgMNzqm7v9Jrw2R3Xx+3rS/D5pBz1ReMC9Mg11f1NNges7jq18kMF0BpdIOZtvIx2MTYSBnrdcO7TXtKb15OYflWOvkl1BB69pCzrYO4EYZqUXwGigzjMcoH88/oojgTJSShOV4ABp9z1AhNn4MrMvtORtwuQPP7qLNd+QoDdo8J5PUHiReLVeqXSLbh3YIrq1tpJYmXwAgXVgQMEuUMK7waPLCN9zyUuQ6NRUAtg4os7SkG4+6BcdFmfgsheWHF6qXgHC0G7uDb9ADF19+SiS+gQMFt56h/qH0JKXdUYjrUDRCGJideyyQcIswrkVeoDpIRIyKMY/U1CeHkt6vL3m13IGJe60bE2CHc+RoZt+XVA5/erHVbyGxi/FlL3pCAN/8oGSgRlbuIVx0dtRtRLUH2ht58wtQz8yzrcY7TkxAN/zcYkFRqhyfGTWbQ7M7HCfezjL7JZ+MP29lFy8h68nGDKMbu8Biilv7ZeMYlrBL/YH6M9eCfhLmi8qQF9nzMe5XU1eMz22sXc9zTEvRUPhmtOLMRqIZGnocNnCDUtie7rVgzEu+9HHgvL8xIkmSyoNt8dJMbM3Y5u+j/3900j2h58GsTGiefXeh9yEpZDKhujOkeg5XFAnn3DUSJLwJ3+jsMHCC9KFzZ4JUfx6EmlB8q9cyg1OeuxwrmC/nY/PHmFusHkxs+irO8shC2OK2sWsfuJ70vGYzTYI+Htev+WxoFWaK9wofx7awhuzakPRlH8Rb3XEh1BOpv4vIE1Q1Z6DWb0Dxs8+DYLMgwLH2mZNkAzusOK8hI98YWoc0+k9whSDK+rzQRO4kkv4XLZlFGkZVPPvvfTGudWekXfHlsA+fZprX1Zf+H3XaUutdvTUMn5NNv76f/vUb9uck6Mgj1PsnNrajtomNyte8/0MNG/jDSSJpCfIJxO0jjMsARTvgumXP9WsN9cxYBjdgdWLmS8E9KdAKafIyWciStww0uS0uw3GTFu/yWFvWc9uKN71nt8ipSorsqyTdxuwrXF09J9EqXIHp7E8SpnE59dfXzVepWZkGnR37HetY9wnbx/SerUIgwE2i8zOm5DqOrV6yci6pBvHn0cWkgI/HFFBj5nDhIXyIRNVGQYiDeSboZrnNvDux+OJT0+uowUEp15sbKL8MxF5t4MZxXc0dybpN6fiD5Uaqeb/+8r0GYvUMbXo4na0+ETviNYVcqfeZ1mDuBq7Mbb/ir4aPbgzhas4emfe/aMUv+gKUbkzHmrVSweOMbU59iBxiPP1b97tuK1BrO5Tp1olCS/tayXfpKgfC9wZeY+C5HlAGfP6NuDhJyZxgv6NlsQSl8Xw/p0Dlff33DSTa4D6i8jZNpPDhOprnldOcN7lNiU6uerYbQCR5zOyZccXsWkTlebgrwx8AlufilsUwUMf3iarMipiFrajdqsvqvI1p9QHbe2CRwcri8SzP4Ceer1iMDUXiRJf5PRu9gNMe1CL0s9NpDpp8eEizItsej65b2uX32geTuEi1dqC33DqzxNpS2h/1WO3cr6GPhbNSg9WNkEAb2u/0ou738svD4O3/bee++ZkVWpc6hQCSEqZZT0lZJEQqKolJGkIUVSlE32OsceGdl7753bbW9Pr9fzD7x/+MzrqrqkvojaLOXIXjK9RSrqa/cuRw0gohtVfZTqOgjqOOEr2PsXOFv1Rxq082BxRcrH/ioTIOB+WeWhi+PI4aQlz259F6COe+3v0kgOjyw9EfzLNwBE8zhfluscghYaKe5Te4v/OIXhofAnBqjNDfquvi4HGkJnXF583kD3Q3xT5Y1aQHDZhmaS6RowDHCw6s9gxvTSoeahHSRwq9BH9823PTQXHyxoKNAAeKy1XlvntgDalAOhRnAf6JofooF8k2hy7bDrKQ4CjKEoqFCojwVmcC326OFh1HMnwJ3g3wd8Aw5bP3QfApc1zB42KxFw5nb0i8yREaDzfEhexXwFfWJVu1J/ZRCIHygPJv93d8lrjy6zj1FC0So7maDKSZAW+MsEVzaj2IHk4xc420GNiAvd9sosMDupVOjdSAKK2v+pWi4RcIEI3Z/A/WmUU6Z5LsmxEj0AkpEnIzvR6yzJI4f+efu6P5+hxDI1NtWnTYg8zwMfhK2PvmCixjVdXMX+acuAW1E1JG2biGaIRzhzBudBXHPOzOqHdqR2KLzDw0wGjmeTpN9WUcHM9yd8yt2JaL1w+PZbvR2gt+6U0nPpJbobomRt0tYEkiZox6QDuPD1I1W6ownj4OqgwmW1bhJ419o1+/pPN7B3kBGLrkpBsWqr/FysY8jM98rDtU4uaL3HvBR+rgxdfHa67Vl2G/DRGvz9QgAj3SqZnKPfWkB5QUGU1o9hkKLaRru8SkKuIeS/zlNOosjaM+9XDOrRk9uVGfHi48hw4py2rD0F9D8VPWM+uA/snY4sur+XwOTKqY+/ft1GuPOaDPTfRKEpVQVfWMmw5tkSIzEbLvzO7Jw6oYEVM2rzMRq16kAhD/8En0heqJ8qRLhozAPraK+St24IQ2fXGQn99j+I9nL4CT1zEkoX/j4rFVYHWkJpKqQaRoHY931JLlsKGBzc12PZtAlqjnL0kbd+Rz6scr/MXi+iuiJ1ppMmXNBpS/xXBdUGKKux8JBNZoPvXI3rzxxjhv27pmd9GrZA7jd/fDexGsn7fSz5YM+O4Zm9vY+YAuYzXb9wgjYPtVQ5l9dY/gHBNlu2ow3NgCj3bN1QawzwVq1liLeso9PnyNPsjm8iYluBiJvfNjo7EWK+ttCOamLVWbpkOoHuzIZ1UMwomJq8+DvrxS56H+Y46bAdDt59Io4Ynp1Gjsm2/gIvepGsO9NS1fw4Ks0/vKYVFQkiLT1fWtGJw7KwzHHZMG74ybuHpGLEBYUGpmmDc2nhsko5qwFdDcj+SskccI8EtkDCgdJwXsxf0Bju94uA89Q1ZMu/rSAPPYtAm6R+QG6lyx7zhIAZ9oPNuqsmUFSsWnaZmBTMMhS58T6HHEdpeAUeH2eFj+tspqMXSkEx/RPJpbJR9F5tJ7vtaxcwvmMSKTVni/YuahobNVLiCuJ3oVd1s8D63K63hM0QGtATqbZUHwa9M6mKrMdXgU1P80vTY8y4fIhBgWmDDtcyefXLW7SiGcIZKUbZZdR8QbheRpEKeuekWN1i3wR1AelNopIiWIux5sSbX/vgyoaz4c0lbix+V50kLzYL0iaMXsQH8GGtSHpqGQVuXCDf2vwuFsC3rM5jBtMLaGSBk/awgDLU7dXYefBoGZVP9b//rkWOn07ETj//UA3G4/2/uFVSwfFHNeP3iFK4+W7RUHOiHOy765VpZyiGNfRfTppapKOqj7N/iYMc+LNugH6biBRUZPK4ljEjCXuKt5XNOfjhr+CSeqi1jWYYpN+d5d5BG9aWkcZ168DuyAeO3oxhMCCQ6JomLIk5jzazJBOXQGiSaV1IrjhuVFkrifg5Dr5mG/hF5PeBbcJRQ//E5+hcaLpt7c8+cEesQ4iD/htgrrkQb3zrEdIq4ZHhIAyAhvTjgVS+7eAD+fVD3aAW8ZX+zKPY6UCXhM5nfkkbRur252Rv86YifQ+pC3GDlPizuKxevS0NLE2RTLul2g6ckp6yLXFQYlnFjfqBOXKo9lNUIuLSMDrvdvnS4OVu4EDnWvjDfAtc22V6t+5MD39PKQqcDdpGPNc1Y8X6l8FpwpNM02vbyN6J5uHDqRq0e456modsAn1VZ2ePTCtFK/kCQbb351GHuy6N37sZ8PAMA1nD+hSyPjfxLu7rGLg+5lE+aj8KjnQHnX2TOwr8Yw5dS9AbR1lyPmpl4ytA/4HH+DWdOWS13UX3tr8HqJkFjH62WQEtHpVTAX8JMCNUUkfl5wqKjnfcj7hfC8w142NyPnShlcbM3MiOVWDhpVNfqbIGSl2P/72Rs4ruuT03DDAdQNxjy28NqGbA/ncgxzHVBojC66WH+YvAW0/qKz7/9jjO5kXI2HdjGP0FAj86EqgP+9P/5jctpinKS3wSV4zMws25HNSXEHUwh+ezvFywWEhf4KSxil5P6o4/26PBDg9EOg+lbKHXgypfMqQJOLxCZ+ei7TCQ/rX7N78vBsRLO7yRySsHqHdmz7OaHKYHqSldPLCGvv6dCr613QWONKiuNMd0oxiT2ZThonSgObbWduWf19HbnVLirBtBRV9eCoZfWEJTT4Rdjtl3I4n3kmw2YjGgNTFZ/vXhWYBL+c9Zu3NCb6g9FtK0hyxKbIzPLLHiE373VYsuLKDkUo6WDJlNoG4QcS/JbwN0Hc/gsT65hloVRhKXUSayn51oTZCbBmWjn/NnGaZA5NWDOwTaTXRJivGi3sQSKt5+IFB1jhI3nfnYa7pEBhX7W099bJSEdtVvZnITi9D26AGLpU4CPj7FZeVh3o3YIhueiZdpQrUUfQnrNFacWG374JCjKG55MCwr6MeEi3gvblT4k0CvqeWWKtcYaKN7qnjV8CA+V75OCnMjhw8qRr7W+KyCy02/hU0aR4Bk6/u4U5NLKF+l+8tO0BAi17pHU1QlCU/GaRtFMy6je8oljwc+jSH1/os3w9Aa0pr9/Dbl8gbQiAw01JtYAx+4dKqE5Tlx5M839/xv56G4a3+7u+JZMPvbN4u6/+ZVxJKdmaljCwRWna64Z7oD1BQE6x0ZufD96YloEmEEbUSRSNbWlehsrKZH5kwZGNEZoqdo4cOSVl+fjqTx4WuPRxvtxQ7BLDLLuEqNJZCj96g++b0orJT29TF+sQferDodzwxeRisK/62re+WiZffDLWXnmaC1RP188hwBbwalX5R3Y8MP2IpuWJ1cQiNti5Yar/95qGj+QtRDMnzKhiYtgl0KZtppl59wX0OkVF29vnIqeKmlmPnL4UXUqTG89ufxLBL869xXodYHOLpf+br1kUAqeTRRVqgX6bHZZ4YcIoErRftKZcfHAXPs/pGfPypBdGzKcsL0GvB1nP8R0EuJyTJ/kIeM/Otf6vhCNtssCJR9ljETX4p4TCYETk3SwNp3DymfmzBDXs8DXXM/FbBK7o3O/lNs+NWDivcbJCFcTdVVFkLHit9t1Y7ducmF7xz7OmbWI43d2qYKbWT1IE+UYC1trCokUjuZ6q0oQKKkcmVcnhRU1YXPl+63ojwO0/RUKja8p2XI3CR0ELYU1DUWv1GFXsSk6zIikvB4DEODboQwPF72tvrAtS6UNRetyPZNCNM+nmBUzFeFQbIPPap2RKHW2MFJahMmuB4pe7WJlR66n+d+BjPngAAXo2nSzT7kByuevMhYR61bG+SxspzwAaeW3rrQHtC8sitYUjkCajP+KFhazIA/bC2nhhl7ULMWJcXzh5QwOc6L5fsoJXxay3fWSH0BHc3wn3c/sgHWuR9vPJBMQjH7JvsJtwkw67fx2m+lfVQptKlGsqLHua2/809PjYAkQ0vGMzaTILnhW9YF3QFUvftBU/9DMVA2Vj5T3r4NBsxVIjjd6LGd+/Npq2Pk8CWLCa87PT8OOTtDac2xB1Rbvsnns/DgiTciHxbuU0ML4sj7K+oikCZRqJGSgR77NDHoOrlQwAJr0w7vI0vIkVi6MaO0hpq5ptbnOAUhW72MVUMaRkHlF9WFByaQO5cPA03mBtp9cLyjKLAP/F0rZN4hW0NcS4tU8p+GgG5IVeSVGTroHV13tKl3FdEFD8ZnvKCDwnI9c1/CaKCfQpqoCec6oLqdAhMeSeKYiSqHmjk6uFGSFJr3UACH8DsMqhQSQSP/jvz1JAKkyFTWzvzHX+nh5roD1PzY4gPRV+vOCPhN+3L80p9BdLqmreRd6QDqmGUS8r8shTGdgUBNIxf+73DQL/u101BsxV3VX+0AXpaX5stsUocJbXG/u7e3EDpq5Hr12S5YLKMprvo7htK+c87vtCtjw0ph81VXATgkPb1l8e/PuybnHWA2ZIXFQw5f7PWEMNP5AqChw4k/1dyxF3kFIFeZJHNT2S6KMTRgbnYVhv+N37lRFL4OsuOIhYnc86A2zJH68I9KJPX5kmmhLSf28pXjyPmnJNX35fsbfjHi4QHte//5bgBLN8grcGMWyJx9K7imvAycj/7dG/68hIZ+R0bouJPQONXVk15fR8Cggp4Z+QtfFM92uGVuiAzGFqSdGJZbAfe7LolXLfFjgU/FbpSnZ5C/c1gWI08zWKzZn3ETbgTGofvyrnvsuJn1oOxUBzvu5jrs2LFmDi38gwYCx+ZAYs+lzZjtHuSUvkchybyBcioTB69fI2DPd1fqu+2H0JH/kkn07xaBzlWtfZcMWpxgGLB6bqYWlHLk/O0ZWkUGV5/bjhzvBGaLgZrMt0fRgzML1mZ5BPgtqz1iKJscslERyxWsN9HOivfattwcsgt9+TZMawo5rj6+2j7fj2SmXcyMnxPgQdo7PurFNYgS/Bp9cK0WGFGEvw0d7gUi1SKx6fbNAHwRvtz+bhTsaEB5r9pOZLRdcKDRcgv9/jlYKUW/g+rvbpsxC8yhA5mdHV1tDHDoyt18ukwKGFaGaX6xiuGRxs9sT9JnUYuWjuiodQFQTGdV+RqMQa2woNvNGB4Mj0bdlgtbQTTxf6lOPTwFqUTkqe8ckYDZp8sY+xlpYB4Z981jzGzQMof+Cn0JBY6cdSFaS24BKz9fq4fx26hGbnA3IE0ci/yommT36kc606lkCc/ZsdNf7aKaa7vgVsegoTUfCRknvC0CH+YQ89HrBwN9eKBLOHSK0dlGUSznXRdzCPAL67k+U/8fSOGrtuLn3EqQeObjW866ZfSGLrW77NoGUvf+/ZE02A4s5a46HfffQ09qfyWbWw2hhw8Mx59Q/gGk4PxCW2dxOLRzg/4v6yK6aEsVG7ZQAph0p6gkRkZQod9bG9VbO0CBh6WGyWgCKIuplph+Z4HMfO/Y9aPbkB7/Rz3HGwVAxcNHJi2iC0iMBtG/ZyShKyMps780WOCtpiwWR7UOEFSUrXZvNxf8uPD1huTaHLA+eNBATbgJLGrY1T0c+sf/cq7SFdmjaG348ghF2SR64VKcVYtXUPWFW7QLkIRM1Tius4kTcMCmicEkVzvoUFn7e+NAEcgZ8jbu7C5BtsoXXsv847qCtE6mGuVG0JqyGy33KBFZDfueM3s1hIKzQV5Dfy2yPl3x5JHINHCSWb/2WG8XfbGTWRQVfY525fCvINE91OA/5qC9sAwMuJw3VclHUcXe3NOMMSp4RfWOru/NJZDCdOl0/1o5SOTohiEc4+jbONF5TX0GMATkpSpRrIPyI0c5n3qxY+eX6P6xf/UvKZQd+FRCj/NpzXxOqqyhPEW/9g0ZCpw+V02VM8EFWUZXD/w3q4iVG/EzjsxFpBF6XoY4ywc/9r55tBsqCotdQ5KuK3UA7HY0VUmHHIeUlRJpD4hBj7Av/JOnOSDJN6TTrYgKPtOWzPnT0QaebnjcEbT/959TRagLVFqAEUfWvZxtQby47Tu4fHEDHWXTuVfUP4WuM92ySspmhtc1Ap6fiqsE59PVQEDgMDp47GJKjyEB1pY3B5iIrAK6rge23j7jiKjOekZKex3ls6tFnTi4C1RIjwNp/QnwnLkd/8lpQWxucFmpSakZUcTFrk8ECmDvCR9n/ogqdKuS6ZJnwx4I25RX8oylhtHxuS50suJ4RXnG/PjkJsJnR70Qcz9ouFy3xTVeBZIVOGz/6gtjQ4owoulpNuxl6FPFQqMJdQVi8jaC6eFavW7993QlSOwQts2n3wOgm7k/7eAa0FtLtLwTHYXwz4Sy7hsrSOGbnMxhJXLoS1nm43pbBkd9UF5qM2TAXD3OBVdXdhBN1/s+9PoNyKvoGb1FJEAy6nC3JR9mLBtVeuQxGQdk1Wtk0z89Cag0BuwOcVBB+sa+ptXxFrQtXwc23fjw9+uHXzmIscM45mM/1Gro8GuVE7FC57ZQUrXUzRWfZXBBgoxGoGIf/DhFzWGkxoe55ma0C1Y3//mOzkKDwzYI1Xm2+CO1GfUGRHxI3l8Fy86C2nvV1JBr345bKUMMD9cnhWaPU+Ci1twxLy8+vChzhFGbtIIoau90yXbyYPtbN1dP/hbHSWnuF3Y/nYGCiUfUg36sAkhOtpbgLASDHh/jTtmmhVTRaQzxtATsdv6p06ezTHj7BdWKuCgrFGR9awEMdkGNgOUW53UFSDt/vEdzbB+8lr4vf78sFiz0qtQaC3Njhize42lZMrDi1nxc1kUZuPYi9pGKjigsJEQTK0zYoe/LU9J3r1LhTMov8quXmXGU0/7na1UKUEB01VfKZg7kUTQ+Fu+XhLkJL80MszZAAqeD2hLhFxq9/+jxft88EBm9Wf56fRPM1Woujy7MoN7CdbKv99oRT3jRA6Y34cDJ5ED9pOAKOPZ1NzfVlQx+STtJEXqDH7vEOtO9IqygvdUNYDC0iDzydVn074wje92++ETTISQycSbCJJgTPizcv6RoI40TbAsNmNK5IaNP72kRwxWw+lx4Mt+fDXrfuJwWLb2FRkrP1QUZbCI1YdFfdKmMsFzShOuPMwWuFb7HIPq1GZiZcgVMerLBtJ5M3jlQAZ5wGAW0izehU50Of7TPTqHsSa5XtR67IKo9leArSYkDzuW7vLrBCV3iu255P1kFMsHDijZbnUjjlMrMD0MOfO1WyQayoIQv/K+LObpwY+Uwz7EWY0rolaNZ2oL+giha7ciJ3UVwUfXgauEaJR7HupOdW+Mo2sZ8u6CpGgR3Fl9qiWPFPwdefltJXQVSUUgjnrgIHN6WUFwb20HPSWxtK4JUeMm5ef5kOiW+KkKOdhtHQXsrGY1gAS2+z1emzMA3i552SkssV3PAArXK4JDD7JD3XJSr2J991HczK/XjshD0Dul2zNZaQcj49uahq/T4w4fTnHfzBeE0cUiYkC8E2YtS/RyNROB/TzVC6V/L49PlhkmFc6Pgdk9TIRmRAr8x+38e4Vhu6+CwOFQjujFKL8vCkZcR/d/1BeDeS4nQek42PHGHwtIusB3MrHp6JfwnBlvOh2ZE+8jhpJFrMZRHmOAm3/mnnuEy+MefN45qWQxQ9NHUTZ9H+6Djm0210UlZfGTpi0S9OQ8kec9vLjIw4RFrT557tqyQZ3nlscPTZjRHUA4ciSKDxxWr741MUUNb6Gp3vkUIPzwT4u9Aosb4Xrl2GHEf7UWcYGJqoMewtjLUP14U3yyPPOPEBGGUJZUx6R0dFghY7pe6fxAOxn4TojAVxBd/bA6FlYtDBlGdW728VNj5dZtHyyVVvBjtWOlHgPCZcrrfVzcy+L14liKbXRbakt1N5ZrnwuY85dN+7qyY2K+Juu5pwPdMRqQ+FWEsf8vcsIKSGXY3aNtqk/Pg7pbA6XIDGkiWcbmP8x0N7nT5XVXzgoSYuWmbKllk4TaLi1SOOzW06/mzwHmTAwbKqoxJN+wAwudbLN3Va2B80dTqxxYH3G1+Pfjg2wqSzF1U/zDdgJ5z86lRNvci9p5G7j3yJbAgbnyz+9IU2C3PJ+NhWEeGJ+xvMPztQCi402RLeh6cfiEofajsD2CyNpyV0WfHJC+LnA3fbURW2ES0aqaHL+1Y+hSnSeAhm/v+eeVitPyd0KlaNwNOUESxZaYsIIlnjzheK5Hj5GX9YNV/Piam/Dt56882es8SHSGhP4LsLN64DFaNonzu/Mq68U7ge6eEXZ9vGtn1/D/Pu4c+iXV7DzwNsZjYvDoCUE6qBtFnE9TmrOeay+YCvg53odtJrUhP+bv5OWU6vER1rL3o2yza3XGeXszfRJajpD994pOI92qsTIbNHiCXGHrHrLUJjJWM1Kdb+fGM4/e9jVpqLDf+eIHhH1+dUOAoaTtPhw89Yy0ctRwBz3bdpg92DYCkkxlGO23/fKf9wqNuvA4iL9Z+f4e6UOy70YiJxW5AqLOkj2BjxSotdmspDpTYppfaM1SUGlqdSWQeT+GH5jlXw2fCCXCk7fLnkhNiMNGg9cjWTAtiTfI/Mv9kCZg+UPHJEJXCHqfu1y2QZPF6XKuT3jMKSFvCYl9oKIqN9euLFGW7AFtvkwZBkR27UK5PoCgZSOnz+PvQe0X4q2WZZ4CWF1+ILfimrMwPr0M5CbFwGnyi9f7ZO94jyCHD1KzdRQ0mUrf/d+0oP1bkNPH8qUEHTySv2z3+zILjXJI8v52ngu0sd1y1/g1wst/5R/Gz8vgR63l7cTwKGCvdQ+fMRHAn1+j8syVj0HEspCiEPgGJjl/dQq5BwNlGAv4oJ0DTkLDG2voldFItSNMzexg82fCo1CtvAQxa3tPFZYK4ZDIDDjDUoDKlT6R4s8swID2H5pPyPqIX6YuKsleDmrM9mDlkE9UyPXlz8R0nTGXI2Izk54IOCoFWGiYncP7bp89dondQfnu+S/7yAdzAs6HGfJwG89gNzsBEKixDx23RmMyENQ4uJQbcVIFaW4b0HOPzYIhpKuKJIx8solaK1ZTrRXGHL336FDUP3HJo1H/YbwJvs9XNOzsS+PkZ2UKqTUo8Qx1zbNqRBSfwOQh/k9xFdnmZh351rIJfPnqLvBfI4aeP9q7db7ZAwjHuS/Eyo+CGtUR7tMAqumheTpRmK0cG8TpqMwpkcJOFrMRAlB1OLsXM9BOUcfH2F5X+JEa8TjnlXMfKj/1Z1xVEZ4bR7fePQyO+MuH1ZMeAzwrKmL728s2wJj0Ywb0ycrNWAx4sGpLuHpKBSpOfNNpVeeFpf04HaZExNL+RadarRYc71GWyr2SehPa8lWRZocowx+JB0hfvfXSstbD0dAcF9LRbFT4Y0ozunq0M2qERxRb9TCd+jUhA8eyVohFmGrz0NrzUS5MG0hCi3HrkSOjFbf2Z9y5E4MO3PB2jPws86FUYnsTkIUOcrNp+QQImFa4Gx0YL4IzCsLPzbqvgx0MJBoUlAsx5+0Ir4RgtPNI8F+AWNYwmVqrGbm9soNSC8Jfmes0oYfGS0D2ZBVRCAz+oypLB0VUm6qtB+yC94LlpUTkHLk6fCx2LbkUpJzVtp8uXwacbf/0nMmaBofVFXcZqMaz+aUvOicQIy9zXFEvS9lDN58Nd178vIx3PQ2wjFDRYq/EZp+ehRWTGFxVgaj6CiNefGZ9kbkVc4RXH96lZMQUxJ8xpigaLpX94NDfLhO9cqVMXpWLCMYGXGH3Y29BOoMmp/G9LQPrR//M0KZ7aL1Qw4C8GhzRzeGlwcW9DcdvKNpppMcpOj/kNnpl00DcH9YNJfub+2D90uPDUqSEpQ3Z80PNrV70qDRZfH+j72cyMNU935dibMcHD6j/xE20SqONoub7GIomBN1k46+4QKiPoAK25GjAuUfwq+UAaYA72o14LooMW4RxdxZFtoFLX3+MgosN+A2esyqJYYcQEczpZHxUkdxqSWfWiwidLi0pyvXlx4FxR4WJyKwjyjAn8I3sKMrS5xyXWKGLesqhT3o/48cdS3wAvKV64Nzvx2O5ANZr3frL+kpUcfzwfcU+fSQoHCxfaBk2L4uf9GUoJMmz4ZVrb0VYpDrgcy3B3NLYAcGRNy52W70XyPKwBvL6s2O+2a8DZTj7826bVmq6RAYc6vMjzJzJAGeA52qneAd7O3dhJXSeh88wnb7RnMWNT+aPVbMVb6EBjx9HYw/1o+Vvr2esRJPA/0U6f8gAA</ELEMENTS>
+</NEKTAR>
diff --git a/utilities/LSIACutil/Tests/LOG.dat b/utilities/LSIACutil/Tests/LOG.dat
new file mode 100644
index 0000000000..70368bf30a
--- /dev/null
+++ b/utilities/LSIACutil/Tests/LOG.dat
@@ -0,0 +1,27 @@
+ YOU RAN
+ lsiac_filtering 2DtrimeshNU.xml 2DtrimeshNU.fld standard
+ FINAL TIME 0
+ --------------DG GLOBAL L2 & LINF ERRORS FOR DG
+ L2 2.46466e-15 Linf 1.72085e-14
+----------------------------- PREPROCESSING TIME 0.034075-----------------------------
+
+
+ Sampling 3024 POINTS
+
+
+
+----------------------------- POSTPROCESSING TIME 1.28541---------------------------------
+
+ -------------------------------
+Output file info:
+ We have used 6 6 modes for the unfiltered solution
+ SIAC KERNEL:
+ (1): STD USING
+ --> SYMMETRIC KERNEL USING 5 CENTRAL BSPLINES OF ORDER 3 AND DERIVATIVE ORDER: 0
+ --> ONE SIDED KERNEL USING 5 CENTRAL BSPLINES AND 1 GENERAL SPLINES OF ORDER 3. DERIVATIVE ORDER: 0
+________________________________________________________________________
+outputfiles:
+ (1) .dat:
+ columns are: postprocessing point 1-2 (2D) 1-3 (3D) and then, for v=0:totFields, pairs: filtered solution & error
+ (2) .fld: creates a field file with the filtered solution and another with the point-wise error. These files can be visualized in paraview using the Nektar utility:
+ FieldConvert meshfile.xml solutionfile.fld yournameforparaview.vtu
diff --git a/utilities/LSIACutil/Tests/PP.dat b/utilities/LSIACutil/Tests/PP.dat
new file mode 100644
index 0000000000..09e5da8d3e
--- /dev/null
+++ b/utilities/LSIACutil/Tests/PP.dat
@@ -0,0 +1,3024 @@
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diff --git a/utilities/LSIACutil/Tests/PP.fld b/utilities/LSIACutil/Tests/PP.fld
new file mode 100644
index 0000000000..868e8f7afb
--- /dev/null
+++ b/utilities/LSIACutil/Tests/PP.fld
@@ -0,0 +1,13 @@
+<?xml version="1.0" encoding="utf-8" ?>
+<NEKTAR>
+ <Metadata>
+ <Provenance>
+ <GitBranch>refs/heads/master</GitBranch>
+ <GitSHA1>3441e8a5c22977156efee6c6bb75a21cbac649b4</GitSHA1>
+ <Hostname>mth240</Hostname>
+ <NektarVersion>4.4.0</NektarVersion>
+ <Timestamp>03-Jul-2017 14:42:33</Timestamp>
+ </Provenance>
+ </Metadata>
+ <ELEMENTS FIELDS="Ustar" SHAPE="Quadrilateral" BASIS="Modified_A,Modified_A" NUMMODESPERDIR="UNIORDER:6,6" ID="0-83" COMPRESSED="B64Z-LittleEndian" 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Tez33yebB+8lx3ODAdKCa4Vfc0zFk4ZxkF748nHL3QXgu6eJ3ee2DuoUkCVpL8v4ljdLSlOpaTCgxNLHg0ALeZRLnhv2uxCR26speUY9oWthNzI75X9k9NBqQ7xRq1dnLh5btC4XuXOeFxd1DDVyqP3A+/8/5iToj+F5DvhJ14X5M94TM/e+UvIjT5kxxgwkHnKFVsrX8RgObhYMfaz99xyJzklzPbFvAs8yjRxrK3mDvryhnfWmXg0pni4ISsRVcVTSIRKNOB5IPPts2hVKiR2/8D7WtfMA0TY4b/b7Qg3lV3DuTnNuHTQ12zo51/cKU1Q6U8y1RAFOiw8PykhlMr4NwYR0kusTg/o3c90i5zG9s397iOupCeq1WTOjol90h+QE9mNUPwkVTVeYRR2cR6VjSGHnfjCd5bmP5Fy4cHX+Iac8vvEjv45nVXTO4YzThkhNKzNjPAu4v8vUhxampTqKJA8XfS5Cz/KMG95fz4g4n/8WsuBOi90uPY58/m+7TONqF+1HmGndLMqMc7fVkWgEZEI42ar46Q4GO3w2x/PacD6ank82vXt7AC8/c2HwqToG+aPx0OjguCRXxC6n2bEwowfxjEK8LN1wNFLmzW3gVb+dKL7c1n8MWvx5UaFtoxYyHPlGdF6RDFtVSjdF3hSGN5luiT9cGdi6tOaBmDzVI9BAuz+uILjlpZpN7fUTKR9pvmB5xvqO47XiDDtFwVokd3reOZ6sQLrwnzl6WCH1IqnUj+u5eQV1r+mMOV26+L+V27DNO+431+aDHHM4sQ7hYpRPTnlv2ih+TGgiXx9KkVb3CrEKop6izVSBqt+r8C3NF0KJnCDcwmcfm2i/1y24tYuPqozmteX8xHvunR7fmGcCqnqMs/P5P/FpuE10MYytOreXfUJk/j1n7xAk0OI3g8a+5EM0xDthsqVULf8gBsxh/32/V/96Lox/fjJaYxNBSwzy9Qhk24psnlOdECSuHH+RKG9Kh0PEk7cV7dOj4btOLNn9b8ALh5te3J7/hsaWEy4EJokvGCdzkXm+/KJLLWLeEF2e+jdrbzQlC90wi0+S/4VQnCZeXTyzEi/wrSaeZ+Mj7pkmiUZwWJzDmnRKa1VSsMJNH2+R3+7+vs1WH7GK0QkwpG9VHT/du4ZkPdhj8NeBC+5tPW+gyKSAJrnHDRGNZaFVR55a8v4a/26njFC/5Fqsyu7K68FgaZFeliy/899wcciga+iz8BRsZdZlXMP/vfmGTG3Y2cwMbHptyoGrjhL8fs/rbutTRPoZRiwzZ73hBf+Gu75PcKF5+6Hrc87+4L4fl9/Jj03jd2oHHJ0/MYxfY2mYGOiQheG+odX0QAzRNuwrNJnHA1cYZ9YOSX/F9/1ys+oguFbYTvY6qeCDsJMGObssyLidnDOPD/j6hCf/dZ9L+uTS189qMBz4m7V4tI++Hi4YtUPUxIAppFUcLsQGM4/z4KrPPBJ6tR5wb7TBiDg4OOIK9LiRcb7bgZKdGkfF8F69Vf8AZVxvjB4p1QOhZecTPninsfOxXMT4pJpQVacQxekkfWk4Y/vS7pg2WzVjbPRt2mGz0wXObpeC5QNe8lC4jfDuUZ//lv/eK2JhLwn9qhCC0pQ6TyeeC3SfKnmczMMH9pmM66ymrWBYHs5jF/R94/ntvjX7vYjzyUHJb5ycu4FPrB7xdEiSdnohuZLLAAYh2yTzECFY9hEuMI9GlwIMa5F7zBdJPxI3Rog+pWrfE1Lfw4FuH7HU4R7HYDsKlKe3W/itOtaSxOkvyfg174ZGpqxzwIE8n2qmfBV3a8+zG9I41LLWScBk+RcyRhgvXpdE2iFfN5/vWrobsLnvWN5mqgeQZSQP/s0ygXn523y+tL3h3m/YTnWeMiNncZrwtUBWi3u3I3zkkAotmQWbFy2JwU0hS8coGDxxT1nSYEqBA9dKknfjwE+xru6JR13cxKFGNfqKzyY/yFSUDwlsVQZHT/lzETwGUu/uFqpb9PK4vp7VydagFH2kauwIm3CB+452Ef+svPGhsvW84Swoi3jm6DPvQwgVbwuX1v16PXU8k95olrvXYD29x1PYrmT2gkh25pH7vs/lNh/b8c2He0cdwY7qORHP/Cnkf4pJveL1iAFMVzPbqk0H8W2sWHLBdwZ7sIVzaU4h58uReuzMDXOAWKbB0qUkdlJ7I/Gb1Y0XUKp2ZW7/VgN55p+PkETZUwPXsvNiNAYwx2PIARb0W3Dvyaef8kATa9Vu4nANjQFaJ71yFw1mQ3XujlHch73C/CwMNPz4t46+/zBp//6IOkbqtWCf9CmZRgN/WHZGHzCNibb/9GEBaMTPg9eYyLvgwWCUqkx6Gj+QeaLnDDj4XBaqCSNyQYfsyKfpcPz7342a2Ls13/NMY0evqb0SX8pKJ+3j8hFeBY+8NvGfW0s2EkQ0ZVxzyyG+igoXy5YsDDytINWHHnU7b1pBEWyzI+1xy003+rtV44SeuQ+53mBF0/2wWC57D+YfaxQf4TzexXCDmSKS5uomHOVy20ftcfZUfYTFcx7d/VQakT+36NekFpiAWJ6PIOY0JjgTYB1lv4tWaux3F3YSBkrHanYVVGbRu3tBwujKBMW3TZTyjKAIH9OgPNsSxoyOFxwXpbSbwP3ZJx7qFDCBiMywo/rgg0q4ocHmbqgwbQ/a3OsNYUeGK0oM2i3XsfHV7iK3kMm6Zc8iOP5kOGtUYqi6f4oeQ27T035r4YXFMTc1BgwM+/nP5q0x0Kd6I+Ly9Ant9NW9iDTtpfPTy1a9bWDHVtm2q1ZPYwX8uh8qW6p4K1ZLmOdrJ+x3F5w9cKqaAE3dNKZTc6SHn4jY//7Nr2OpFwgXbRkzl+x6Za2XaqOZhfm8/SQM5FzKFtByURvwVHxYmFydwg+3Nnyc+f8V2qGwcqni8iJ2qx90Y5CSAege23sSrBfH+MhK/mflRydyaVPhTUVgLkdc50kYNizHSKDeAD7QvdO2ZrRZFEQ+P1JRmqyJeufrI/nevsC9cc6/n52RQAfPIQF0xjln+DvJKH6vH3rGb34tIFwTRXRTLeLsE5A3/kpCNZIe2m8eS7nXTAPO/XvufIrqkcpjo+/MAqnq+GXZUV1vIR6vOhDTVSZY/AufxukeEi9PsU6fG+Sek2cLr5H2dW8tWnH+4oCtzYXKjahxvdi6XkR77iZkXEi4yR4j5LOUBpfV3EoRnOsfSM6ojDyXfwtkEGViRzAiOdOaBPOnW+Jd8S//dF4sqWiu4wOPV73dZlyhQ8Vxt6bXtYpDesv3SrTFF1Ct06/eSLReMpp7Q5tqiQvrzn3PLFihA4W7mCfaPSlBA87ViepkH0cplnS7uVYKsXsaXW+0LuM4Z3Uwfjy94UuLYWDQXF1wafPridoQ82r0ycqI+XRSoNWiMh05u4PucKrs/y0xg7yIJl+J/XQot5Sf3WnBgOnYnMwMSdzihwRjCjGq+LpufUhrCpecIl5Lg0axNlackhigB8v6tk1lT/e8n8bHnUyvTtj24bFbZcoAGA2Jae0N2KU0lfHSt3g8fH7NDTAWlkeInxIHnwI20gI+igNX4BbukScHU8Ri3+aIBbDZnkoOfax5/fGf6+4QBBgW7bOHSKzWoUXrl3OBKiw4vuCgyW7KD7h8DdvvJFYwUmf3+TC8D9I6sRczySEN5my2Oe/BDqDvtOqMDP2wKyLd4T65j9y/6PE4W4ULPqbIlj2fO45y7Uh7eVpUFD7u8360u8vC9fXuzu4MMSAoWiPQ6MELUP5cTr4gu2X6tJPe6d1E5d8foEJYyKkw9c5QVyQo9HP9hzA2TuwmXPeY8X6aqnpPiKkvJ+yXPk9K/6WxhB60bhMZdZjGL9LE1aZwZ9p4kXA7+e77OpptecEuVhx9x8VA7aYAUvOUet+mzoij2cv1vRUv4OFufY7zkJB5qaCWnn8MLRxUdXZh/GcBJvTSR8+NSUH3DqGX5nBRSXyu//qNHFgQ4JRyDKucxYR4ePXdMHGRObvXt0lnAPDt+uZU+XsLhCE3Q2XYZYK/h2PVmnxgq97A7cf0wJRx9nkT5ZycruD4tj9iy5gG8QT+25IoYcDpTyo2EcCHNa38mJH24wPcl4ZKYQnTJKeO3zf977WqQ5kD7WQLlcIlktPSzgmpH2V/O61zI3pJwcSrb+fSNXTPpuLUAue/df13u+AELKCtdrL0BFNBQrn9om3cnvoOtg+xSb0r4eMmqWK5YbwNDx6byisGfWPzZ23uZCmTA7npJaRaXJmjo2IS8TxJATMMq6TrOlMCQe/fyVJItTPGJ0kq0i8Oj0w8L9q6rQ0PhFAVF5BJ2q8pEKNKNGRwL18ZkihggPiskqKaZGgw7z83iT3lgTTm/K0xSCcwzKF9v/yCB2isE7w8/5ER7PZO69uV34rqyj5uYCzAQtLA9qm/PgyIF6PhdKhVhQdiQkXtoGRdJJVz+eBC9Pr4zitxrJvYhXu1xUWS8MfBtqpgeXbtLy/Vq1zrOXk64HPaXFsNcX5DwJaLv24tYBKO2VnCzlUVjPyNBFP7p8buw79yI/hLhol5KzIj2S16pRjrQfoH+6oK+DdBaBn371c4K/C3qxRcPYWDxTJyp6eYS5qlDtxQsPYO/CeVyDu+0hSZB3QlVPkUQDDjNIHBfFgRVPJubzMRhjMbMhKGIGUjqp6a4Di5ij67uPRl/gwS6phZcmVkdWNne8VSHClnwL3uUOf5jAd+Xfp5uNo4CjQ0zJV2rGsJDdheq3RA1gzAZ+cXei5IQdaMDxl/xgwolaa5cjwNulxK9Zt9PdAmbMyX32lMlbKdxixDaFtccSDXGDulVDknU4mu4/Fylr9CVOhKHR+5Ns85GEn+jGXnf9VJKQXzeED4R7RjFiXNC0y0JumznYRzyRQ/VfQ9ssnYWJ8+yjMfeJeZmcOK489vKRm3ICNhfd9JMCronYqc1cnUg54T15JB2Hl4fmlvCdH0df2n1rKJIwRROFq/kLd+TAt8HIdKswe9w+bdP7mzMccBxKbN65afs8OlTj5HIyzU8NCs9zL+bBvk4aHZtCgpBRc+Lr6GNf7D270d2nJynhK16rEPn6xcscs7K1ohpHKNnNnPX38kDixscMylv6CEzeCpl5LsknL7muTd7kQao/7ngFUSXqA0+kXstTFmyCwWu458Pib39VLqJXTWOGlb2+YRLehIudl6Z13WnEenpns/k/cP+Ddet3JmRk8jm91eOgujecN3VhJ+rOO0PwiUuk5jL9Nav5ArMoaWQUuDQhjy6c3k21WDUEPZ4vFfQVtGBD5cS1cON6dGYPld83xkONPad3/C4uwms2fz1E8ZMYR8Pa3yhHz8ojygfVZvdBl5NJl9pNn/hyetWWorNM3iHyEQsY7gcFB44kmN/XwbV596r8/nv3y135fZnq/+e29nPllTrdcv4z1+RGrx01OioRMatEwpaoDnnd2SzxgC8s1+/De+WBkOHkwnnfGTh50PCZWmB6NIZhVvkXosVl+zPvi6IbnPb1LJ+FkCpbqbZfQ7cSMqNcJn61mmBqz0n3QtMI++Ld79K+u3Oi2xlBRUPeFDAzluWHp1Zo9jVYjGyy0Y64WMeoqksPuII9Xocj5cXN/ADAiyjqmcV4Yqu3PeNJn147fzUzP0UO1RQXIKTjhIwN9pf/GW3JpzMMXxz8xkP6N4J3SHxWhHZXclcrdWQgV62s4E2w6xwOyHtUp4DBxpBPxzO1+nD44fxlbQhfFDpu9MiDBTgy9mOG7FVo5h+h8bORZU13ECctfn6kDD4lnqej6BXR10uubcOp7OAdGb//ZV6FkQvJ6k/0r+FBfx7j6EMIbq0kSpM7vXnpTfXcWlRNKSpvv6YWRFJP67fnnCVGjn9c2Ftq/1Fmf2C9PMHcX/34zkH2v/dl96OUYzn0m3gtG+ah6lkVvBdvwiXw62S5PlWLfyO129XYFBmFuh/P40nDYvO7XcwAe4vzzqk9prBVh5Le5LfGq7XGKgYK06DlMXKj7jf+YOVJXjd/7zPCLChitfFJzjBK78+9I+bDKTyafDd9XiJtXnYx4a9Z0APYvUcWZ7ZwBnj5f19FGJgNcjxKjECYGzCjqnTdgp/QW13jMKYErV7vbU4/64b03mS87l1lhmVC74k3eqUg+vZ2hLnKkVg8InunYLlKmw4gHBZMyO6VJJQRO711/EKGvSJGtn3vLBgKWzDHLNtEmgUVvEX/1ysJffJG6W+JIn4EX0vv8rO5hajBKVZs8FxMXN4l13KoZlRQUAKxPkRbCCmFF7Fmee8Ddz5n40yHjRDnYKFz9gt1GD3ItMPQx5NeEYrergzUgbtu1CuU3uWAtZSf87xFXuDmNBXo5CrilCrEc+VLKMNSwo6Vf0U0uC7FmN9hZkDzeG3z6iP8cBL+Wm/z/dWMSO1FThhqo6yyjKs6lc1Ic/yKbDzqqBc+bSPB3tEkfbVc0b1CR+xq4dVdkRtWoGa0+G++VBKeOqWI3zDRx3S0v9MXptbwoYtCJfCf71eesNJ7rWOXNtSnu8qHlAQ497wVwwNaMRNUTPRw2MpwuVd1u2YFOwVafVWGHk/cO6il52HNLox/5FjUkoA3e5l3mIKEENP/InzM/eYmCfPMB7oD94BfCY7uJfYGFFH5zB7epoZPFTWujb9WgdaJGNLYzdo4NUv8Z/72OSQy7rSnqm35kBfoPEhNckOrHY0vXxfxgFlhQM+VhoG0HVkK+yBwTD+rOIbu4MsPzpjbdnKJiEIJgMBmbWFnEDx83J3RrUmlH3hMcW0KSHr4IjzGx1WuMp6yHYrXwgdC1Sc5NYXQuYtjyuzC0zBVSQu50u1IGr9zZjkIqcJcw8Jl61/vT723ojc69nTjPHxOAvS/rEre1iFCz1pCAa+xQXMJINw2T6vO0K35zXpRNwZ8v6ftj9luX/Wcd9knyM24eIoOv5gx7NZOrSwW4LsYtdBnB8BO+XNmtv+0FWd8aznthbCJmLMI5sMAL90+6noLoCqS80fRx/xwXS7f8aj82Koi6LUaNe0GdRNj8QqSDvAjRcDn6PztIHb7efshTZNyCovKp5bX8Iang7n9u/mRD5FQhRuAUZwPTJjReevIkg9r2yQjNSF/NurDIF+Migs8PFu1dcTuFbPhQaRyEWMVf2r6jkdKzgweU6X84wiJNaJZfIJUMLl6r4Z4UuSYLhI9Hp4B9GlcAsTcq/pfagsLAJoYN6wy8Q7ew0/6NG75qhAA7a/qhU5sp+TGNyV13LUW0hv/5DI++H7HT7c2MMF9n8dKMPyEKYncUXUqWYCi93eomP65EhTUNYL8gzoO7n5q9QJgozoXi2NmKHTRqyUe7nmMW3qn2eDFP/ijY3e+7Oql3FGg3xq9YF5vCA4/sfqO0MQzX2PLw4agMODX3+oZFdw5VNNilTUMjDOSX/uWcUm3nzEICWexA6l2U7bb77kg2dM7jaaYwoouOTzbTthCSixerDzCIihc3ezHV/RsqGVsx8rBkQoIbmCzngtXALsY9gOqwZJQfBF4yyRdCXYy3tg7aAOF4S5Ey7tnkSX3Gk+knvd+mY1r5lmFBN5/GHl5UEhpCiVXvNOagK/9s8l6w+9Z8uxVlIjRyd5/+806AV8+YifcKVwiV7ggzVxhiEF/B0eRCJ8hhcJHwY1nEPnjCZqutfxLJ6PGjUIh2ZLFWmCUi1PQAG7CfwaE9fMvS4G7KWsYxYtQuDM/+Fq6y57JOC7b6vrlhl8tm4y3BDBkMX7OsfNJ+qQ6Gt6UySYCoTWjzTW3eSAu/y2UT4stCA1+raW9FgDHdaaqPPQlkAlPVLDOY+kUFf4VGqRMh3QBI3/vnOMHf7iV1/NfDJAo3/71ZLPKoOIsSxr1k0J1LOrRyD+thLoOxMuSf+6xE1xg9zrP165x1KMFBFtym5ZKZU2/MMznrue8cwo4Dfhki0atb4k/Jq01yGDvP8Uf+DKdJMB4S/P2kbWCoLlp6e1FWP12NVfzWSXvw8JH5bLNv7zSmaoIzuOZaCBGx3e/83AK5kHLMdLJgsKTcBcqaimIkEMkSTGHlDKi8GlTOmNx8ZK0N7eETM/rwNxlC9vfnWbwoKe93/PUX2OVR4ePl3aJwDNGlNrXRnLGNfnYtI5kj4qoBKX6j2sCK9+5ymq3pQDxZ83tye+kUDhMveOe51hQ18DimLKX2xhtNvXlX8IssPJGBWMFv+I1euKn4rnkwA+draqLBYZFPDP5eNLoksdzznJvfbiurHl4SqP9oiXOMu+kUa7vd471X4axu+KEy4fl289mVp5Q2p9SPTd02b0wqNpCQgjRR+tO6SCLsa+jkpl5ICj/85PlDwxf8QEXXox5QW/7U+d2b1bBznk8+enU9mB2N0ES7X3kvA0QujoKyY1JON0k/bBewqgHCxRGu51hKfWtj4lZ01h7vjY+wNa7BCWGO8sGswNsunf9zoX1mJtcqF2+U978fmgRM9Xx7XguYjUdVZ2dcQv27kYpWEKfVs8A6J98sjT1qtkXyIXOizhItnc8hfrbMaHK5yowKqL1uBYoAq8GqL5ZntdEHTtpqw6bL9gp14RLhriRJdeSBWQe51a/h0balYGAepNe+32eUwiQpprkP6/99IlwoXbmrvyQthbUukTYj9MT7ZT+iAdbJ3+1JR1bBXzz734PnyFATmJEy5WzMT5EUqTdvnZZwe0ohd3PONyQN/1GSg/+2ujtO9reUXXuMGo2jsvx1YRuiqVD+7SF0Mf+qLqssJNIDwpOJQzxwF6niaI3I/SRg4UKmI9r82gRJYZf/SVE047tamfr5WFZj6bbobfBqj9bY+Xr78iosp/pxezKghVTUtDw0PaaI3kohB0ihWen7n/q4ppDdctF4urnprDn72b83kUYAZxz/dSZDMJoZuXH2gXeulArizhsniL6NKtm3p2/+/1899Urb4b33Atlgv3ehz1UHv8UFAFGxusWhEuVDOdFMaaXSSRfjXyfX+4cGK3nJgMnPnxdk7QWxo2Us/nU8XTQksA4eM2SvgMZ/crxh80hfNOO1jooyyQXuuFF3Lv7AAz05qcVFcGLYXDL2R0dYHXbu7r4CFNuPc1g0X7jivazbD45lGkM/hsiPT3r7gi7jyl3TK8WlC7O+d3ItcavnjEzvN7OzeyUpL/ER5qAdUlpf7fQ/VR5xvXS8WmuiAb+Xn+UIQmypDu91DIkIfkx6V3/56UgUY+nt+2KQ5o/CZb6RQtBq5qycImtfrofIFD9EbaCub/z6V6luj1LvFBcq9Z9RuUGal54Y7RmEKZgwwylMCfqCTJQegi4eJrvHEzw+IdKS+5hLy/VamTtCTDB5Fp/XIXwhXR8QlTTZb2/97vVF+SXQQsCaeKngP7vrnvBIX0PQrYUUvkc7JUYqbVFVR6xYKqbnEiSiH61OFdKsAI9x+IC1Kiio93Ayf2bYdbZ7ViY3h3gN0Qf3nyaSlE2hVx5FqxEuxLrhC94KiKniXTxty0oEPl2yVCYsb1oR2XPCvTr4gqzHKygpZMIdRzT84Ha01ksHv+FKdpHTb3VCfemI0BXplkVda284JCfX5X6CFTSLm2Yzf/kWXs1MIZX80hzf/eK4hej//rkrm4IXEfZ+TOzfEQRu4ehtT5QtLocJNLq7gaLTrGECpjntBFepgQnj99optEFW5M3j9bgFUYf1aAlub+jrYrbPAn/XHKfkopqBL+ddFJKKXJp3aaPFcHoit/cbuC5fri9vIH7ihEb1jOpPK/vxdThcO7SWYUMrvdcDtQIdam+O2f/JXAql2CayrBDLDBw5l6b/RhwDd658mfFOjrcKYyTa0S9OgZ3g1ZE0VNWS3nBlT40Rz1cSemcltYjcnIvZOlimIijRvkfA3gB8PjgjtmSkiOMTNsR/8f/LDR+CEWEQU4erJlJH58Hl97GCH1mJEWfXAoWmzKZAZa97IfAZUUEOFGuGRvEl2KOH2P3Ovj+Y9eNNrKwIfcMOuXOdzoO/3lmq2T3MCZSLj06ITUVDv1kA63EJ/Px9188KzGcRbr8XndOSuygRXFqX5dmedEv8oIl4TrxFzMsxRTyXeFQZd3871ONuhHFdXRJXNZmLLXGVoYoEa8Ri9FLqYNYoN32fvEExWR967UL/y55nCQQ6+f5ak1BK4Wu7Xn6CGHb/uL2r3N4G/oOeUDib9xNZFjbu+9xaFNz1TqeocWTCYUGzoZz2HYpxXzlA0jqBVO5TA01EdWnaoCQVUjuMjFqa7kDiq03efAcdmvjsD+/QQDLqMFL4e//v5Zj4GSfuKbWyIs4LdFuGz96zXfnsvkXi8rXu2bei2Gmti82JZbZ7Hxd7eGrNkZkMU/l0b0zm6drpfUeJK4vzte//z+orwqkrtcTxu8gxrNRsOJCC8+tPsk4bIxQswdl6M1exYAqczYaKR4O4KS5y5J56sY2laT7LJn1Rwmhx4nXD3BDXn3K25Kxksh2ScOiokzDhD/JEB/x1VriJwfMJO9oQ0cz7vThjN1ofhBlGn56Bh+fi3pR6fHKLY+86vv/B1TuPNA90++nilsbIgl2c4CrD0pyUV+jGihpshOnYoK7aZVrmgZ6cF/ZlZFOzqr/XfeX79xOW0CQ/adRgFPjaBh/8zx1a3/njNJwiV2hehS4QFxcq+lqd4Gv80Uhqv6Z3czFOkjPqGzDfeGqCCsiXB5GaHpLvSpj8RxmJe8P6zcdyZeUBRemoeEJz9YwoXirrn1rlKgFkvi+eoSIqb3DG8/L+wFt5ZKs76dliiW+zCHp68PBO2/DvbXNrGSJ/NFLRPckL5l+oo9dQUPoeOkdRPD4C/jwou4l25gvLz77lCxPgp7X1n/XcwE3taxtjcpaSDWuO2K0ktCKPmOc3Ca5X89n1RmlewGRBo99oIi1gZmBg6WfZvQReWyLWev/JaECN2FxgkVCdjmfcLC5JA5sgls8orQIMH8TlmvpKI1TNR+MbRVQgOU5gmXpH+9rhYjfh7+/LWLDuILykjWPD9KKFUeXbHgnGOUYgNSOOFyLpPiYzbTAOlKzCPy/uie99sKmRTRXaGknldzsqhnQm01lIsePcSJc2N/jZg7y6sl5w4HgnV+RHbASUOYOOsSZxNpA5KFX0vguz2IicceNtrHBBxe7gtXOuWQc++qJ8MpN+hlqdqbUOoNy3GSRjxveKG5SIHL+oY5tJfxDd76JgcaJJ8UUw9emP9CpZgfbgRiiX4dh9O5Yd1fDi2sOsGSa1XmnzZO4D823pagdBkv1nMaGK3iRW4MUadZ6nVgfX+tyYSuHmx7vc0411kVVPa+bzr+Xguwf73+O0t0KU/rKrnXD3i8KGyGpdFsmfh+PG0W9ytXD77whRpGMggXh75zb3ZdHCANb20j7xdqndFy+isLe2KHflINCINXC6b/ZlMENusJl1cPidmlHI1/31SER6on2WIPOaP9aRGqLvwA90RDvTnO68HHqcZrfB9EkH5My6URdWrEsSl9isLQE7h5I8Jjn5iATnD74ZbjBqhum8QpVR82GOsIKVLXV0eLque8PzzlgLrOx2F/nW3QLwcpvguFFihv+cCr/kJ5qPd9MW0nrI/agu6OTeRKIvbmuK5TYRyQ2MrALqPIhT79SbwsPa8MO0rs+J6NqMDUt8G9raVUEDFPuFzHiF6bnn9J7nWP/NfTkqK8IMk77tFw0RBFTY96eXn8wTP7CRcuaSrtmV0fSdFrLOT9sozq33xKtMisIdNLVXkBm0W9KXuDOEH+MvFczR0hfBq+eT7KqN4J55uC66Qnt6PdrpNfTU44g1hcvsN403897RTueP5BBQpKnv6lHdCBVYgX/MimgBT3heawC3nDn9Sn57alm6NLd97SLTQYg+O2ucFt+hrovuPC3bdXlEF9y9+Jcc92aJ9XpzS6bI76VhaHQrNNIELZuNnzlxYalHkjr5+rBAJdCuvf7fShOi1lH0+tHiqJjc9okjSCXBHzdilbWbT/wWnSLEkHHtMTvfa/RHTpRB/x83XU5Qaudl+F0C2X66altBqIniNnudp5Gfuyepiu3meAxLYh+j7i5CCpWN6HvH9T9poK+jaFhSes6NfPmSCfw3rHC7Sp4andnrPh75KatkkR89BqybbtyaFQGfKFdClVGbpYP0nwz/hDxtLbXVGjRsBN8/70zVARZHW3zNjPQx6d/14TZp+wG2gNlOkaX3tCwdIHYQpLc5h+f2MxVc0eou8c2L0jRhX99feP/Gupg6htTA23OEKgXPhuWRubLOK0cIrqVvcBGtqrhjaD3OhuqWBNYwUbkvAnFZVzCQFVHEvD0oQVGFwLNrMwcgSXdubs1w/M4ROJYeu7vQ6k/3OZ1CS69LSX+P/363swX3UqErxNO9qsr8qPDEsp2LIndWH7KuESZ7ORQRH7icSzZU7eD69J5Ll2mQ9p3E7LCeQygI/+VQe2sfOiY/9cmCYDyXPzeV/h0DFlYPhcNFOY6YdWbZrS3zYZoHVaWBGXM0V/r5n7mXmag9LkpzdWKlLgHZZ/kU3YAl2onh+53bYHVm5oBI2u2qHXp2u9DPPdYPClrF/fDCeK2pNOkRaiD8/KwuZfdUnAi9MpTxrm3dGgk+TMu1YzyHO1OTcoY4xWnAyS14QN4OZ2VS+nLg6ovfVB6uMooLmBa3u2j7hB+Z/Xyc/r5NA+S10W03lz6NcmXC41El1acEsl9zrr0eBs57IAbIwWCIuOUSL3a749jmNMsP+fC8seTgmZm19IfhXXyPsFu6wvxAvLIEq70pPW9uqg5Wt6K9hOCKlREi7CK8SkqDqs8MTPGbkdjN2M5TRBmkfNY61k7OBvJstHeS1HGE3K77r/ZRULnPlK3egtjnb0mAiV/3ECu5Lg+8ZvdgJv2HxV0CCGGqy3b2cKcoKoY2cHnzMrwr7iF/ijGxIg82sibPWnJzJb8ua0ndREjIY73nq4aUJV3PeMFs8x/GIZfXSRyBcshKJPFjtLDbQaLpqnWyxA+EruoN4LS8jM4VKvHdOEtbd5d+f/mIP7P5er/3q914WZ3GsL1QDxdD81pCEp/LtpTR3oj1S2v42hg6UQwmVeZPMbw7thkm8ocX+35W1OoDwlAq0M3MX+/IZIzPB3cNrPrzh/SjDZJcg1iDzfiIrSpch7Q1o30+ejm4YosNNz/PFdC0BfyhS+KhiCcOM+/RB9ESRbVCQlGKqASt+PCo5UBIOtkno/8xsSdKUnSovJbwee+tMzktvkIE8j6ML4f+81dxRuFycpP8cyLh8Ri6fxgHqMazZeAdCZ/druB02s4EeAIL2UhxbqoCnaNcQgi8aEH0k8ZqBHuS4yWQ6phuAaLNL75aMuMKvdSzCOtoGaNzPOPw5IA8u/XvffILqkbZBP7nXWLu6DUS16kKisk+zxQhP5PiC11nvJg6Ao4RJ9ne+8vP4oSVPgPnn/uvxqNdtNY3Tz0HDvHllFFPH20/B8jhgKP0/4PJwkfE59tWox+uwDe/ZeEg5ecEY+GfV3Bm30Uc21q41cmBk4VgtR3nmOgUKO4U6PDAeUHxUnXCfgCaHHJTSP54SBzXweZcasJVzguXjbOMYb+ANZV3XHpNCe8zJbGV4K0BU4YHhAaBccvKrEqp1giZbZkr3TYwygZSvt44yrMqqYsJpZ4uCB7dH55/g8VZBoY4zUxJIn5E1W2P9h8Yeb4RFKGwGmUBx/puzsli00XydcWj8QXTqhcoTca7tH9r1i7oaIP7pkQOEXLfJ0Fi6ydhBCUemEy00jMZ9ncaOktue55M/nb5x8sKLGwYt0Bu7jgTHbUHrAxskZCVXUeplwCbxNOBWm3ryLGYWA4MHDxr08DmDyLm86ZdUH7g3ilTe0HeHCXQpaCTsF9NHEoGFyQgNxel2JDT59EKxOqbN9v+UOFeK3gu7i2+Fg5dyfNUYXEFxU2HZf8yPmWXf+QmNNNVYThBl6D1rB1r1jgsmqJtAxf9ToiuAO0HIvmJ/wFQCSVIzdnIgo4nmX+0j/Hi8audfQoQkekKbuUFL52Bx+G6b8evrIA5gs2oIVFRVB9N97TKY80Wvx7gZyr2M7P0nxlRujpmM6unseWiPMySj3sTk9YscIF8T8VreFaoykdhQRP48nEEC3fEsGaAMZXvjb6qIzjz9+d1ZTAk8pwmWnBzGn3+86ZV8WCUVdTkeGnLpw1e4vd+80BsC+40NvIr94Q19cBdWOG1Jwx/kFzUoPDxzxkk07en4H6EiV/e2YswDrosSBin2qaNHYvyL2BB86cPXN+hclKdg4aOT5uEcWFMNLPMJ0vKHyh9z01K5tyOlNX1DX3gD41Fmh88JGFcUdzeqMtaeAH2mxS6zBv7Gx/fdsWmvdgY8zQivT0wLuBD4yETVSRxMhkuOBF+ew0AWi181rRJf2f9Mi95qbHSm3KlsgthbGTY3TMnClU1e3vFkNaWfYKC3sHybFXWjqHp8cId20JO77x6lNs8u9GWCSO8UKHZFAsrKB7vNlFKjtZ/CEwuPTTb/4Q8lTjU0hgRTtAn/tJbo62/jgUHhvyn5JfaQXdu9ohqYXTFJhpJNHdBG9nFxuHQUDWr3EPP1yJgT+jCqr75LSQ71idIMeuS6wIESajMHnMIvfTnU3Mg3h0+yVB7GbEqBdw/2uDjMF2+KwpSd7HEDrEr08i7U9aL66jO/xUoaEbc+tbFV1UOzPvz3flfgg/f6ue47n/MC+e+X8K+k1TKwwc4dVriUc1DBbiXpMj+ZXCJdGe6JLnyJnyL3u7tI+u9Jmg6RvsIQMUxmi+GCdDe1uQXTkn8vdkpq9AmdGSa8qid+X7yvtDzLYLg0qXfp3D7UqIiaZnL2quStYvdk+souhLTFf/GUtEJkOBL4aC2f6/95Xgu6G7/J97w2iP6uDGIy9YCz66OSBEF7kOp/5/vPeJczSqo+k3OILc5Hm5rqMZlDcT8niqC2HVHuzL1qZc4O7c/U9p8o5rNFJSeVOqQD6cnZUYIexG8g1dC4ejBSEQbrwwfO73UFepLpDcV4EYprTbY6rbEMC3Yv3T1wTgGefeUkxijbgsPiEh4nXBDZYo83uUUqCXFhQO6cHHZyxJVzs9hJdUqNKJ/f6h9aOqzspuVDl8B9X66cW6MQjizBhCz7IKyZcmBXcPFpLx0iTBxPJ+7Y23XtCrZnBg4XUXfGVDr3v9o2OPlCNfxLeS3aRfBJGnsflzG9Oc5uCQkSj5F0aD3QqOZEp4WIQyGCHre+3usJLSrWP/jcwaFpI8E4TNYW1o/eTpuUdYITOLcLk3W4YcLDRlRU3RYOHH9AZahtBL83h35vi2kitqmsy/NR/XnqNh1ddgmFeML1x8rQ+krbHOjbXXECvUsfzk64+uivWasy2NIYpb7pIf27WhI+MTeNBurJw954fa/ZuE9iW+vCYZpcm4jOe85O9bAZv//XaUpDo0jQHFbnX3FyC5kIOf/A43zyqieNq6EbOqVyeGBnQlidcmO4+Dzs1OU4au7p06//7HTcxBSpnAbg1+4M25r4FHGp81cnq2IKf49pDdsEUQ8jz59VPkYevmaCzjol9MU5+6By1bX1JNwllXJM8d4ftv6+j+9cPHz1jKFSKa++QUkJUTFac5a3bkJdPalTi870wtcdSTa3TAmU4X7nF/NwRBp5s9dh6K8BkInNFV40RGMQqTtXVKiCX6xN7nRu3o+8373TPyarD+h1a2ub7skg/jGdNYEUPKqrc3Z/t5AWawD8TNj/dUe3nIk7mEHdQ67Y8djJVE6kaFhREGpPASoJwuZRKdCn2SQ65168/i0+YK5tDlcZAfEwJIB5jE8dEFzPA8wgXHuXcEeQ/QfLqTSXvR//9XLLjuQY0vomn2GwVQhy3Gg/dOiAP5Q0HyC4i84TPX5X2hLLICGirvyA6eOg44nHocA95Iwc0VZw1Hx08kKtD2zSfqi5Um6dsrT3hQeOmFXrvpd1gMoZWLLhwD1B+29Laq+6EerssQ9ntvSBM9pR9NqM5upxz5YHbeRN4+940+AD4QM7T7e6m7LsRTrtyQi4cAwGOZEbaOTckVndY2HeSD9XZTD9/2a0FVTmpH2b7JdHVsfUvrwK8IOHT2ocnuttQ/amAuKP3t0HpP5eUf72W0Wkj99pAuiBU09YGOYs3P+z7bYLOjHyVlMHUUeE/F+N2P/ruqgkSsDGQP8+/tGl5Fm83Q103c4VCSv77c/T2I4wREkjekPi+/O7BfvJcf83HlkAfDraX7X90+waApRct5rArEHoPfJnl1A+Er+xPWeSkOFH9ZJGLwTk5kPc2mmu8Fwx8Z8t98yjs4Jp7+IG3z7Xh7Z+4gicvFFC7Ah5M8VYKNDmYW6RfeqDACLOoExGHQcUz21RVKQROtz2gTk0KgDyU4tnDsB3KJc1lg7YrIk7GhQzJKEGk89BCcnraEAyqzomtPtkOic+k6uy67aGj6HLpVVpTuGVAuMhyEL1uvilH8/9ec07M0pxj90YvU73rLr53R0Y/RsxmGy1R3BvCRcT2yH0902+k8xH+5L7TiPSIVx5WBp4f5R+kI+QgISdCjDFKCzglie8734SJqf/pT83as7Nwy5iJf9PdAdbl0t9UHI+CFu1Tky3eQXCtMyLq3mMTSDl6Sec1x3/38PycB66XDyHVshLzHcd5gF7vUfC7bQfQxEGnkkp+F6TVaPZK67o54p02jWL9ZYb6Is/MocvRUG6bjCxktoPdlM7V3PFAaOMPvL5YJo1OrDMOHafehnJCaEhXpixh16k6SjWTfWhbvEIUK5sbbIrHWl+96YF25au0Cu9xQZIpRK+vnCe6RFMjS+51nV9i/kFzScTMXyzh56oJ6yqsKd8kpFAat0vIrOFX0l6OKg7GzAlS6Igqed9UwIzDqY0LKd4SlLNSE0E90Mo6acuG1I/QfLawimtKNyYmv9hDJ7Md55CM9NWY3wIaaGahnePHxnZEtUPcY74hAFgG+Oln973E8l//ZhIsB/QypbOC+WUALKdfS7/40AMkuopjw/gloQzVZh6wAvA4Il7G0rMNHCYKzykIGcKTjEvd0hE+iPuZ34xnqSk07CE9bVTXh9nYbO6LzXpwSdTx1+McSfTyluENMVstJLCRWtXGGQCRlzdpWURd4fXX6m/KWXZQ5f+/Fu4znMo/DOC4mdGSUSEysskeh3M7Dods59h775HMVLIyK/2VWWayEklFGb9IKDSllKwQhVJKifCv83h1v7lffa6f6/vcLxwvPu45dXiaiLnUVGBdihuUovaa+CI9E3bSwi2LIcZsTzFYYPs52jeuCHnsmMszP3dfa81pgubqV+q+iJeAdjiowtL3p/RMM9JopazUfut9ZnhkuoXqgruB+dwV0rzW8lkLJtadzu7Z5oKcIvq27/cRRgl3Hh2d5ReDX/ZFLnJvlOHqotqk4F4l9IWyo5RF5Ai8qTDWT3f++w5YYztG8CSEty+2noghQ8G4eZVwlxD6HU2TqNxPAL+Nw+l3FqXh7s3IXymceuiLXlcLhekgupyu1mbsYYQ61J0MgcyN1KdzJmQlhNG9ifUV8hkzkBpprOOvocAHwQaVT8ZV+CddOM8mnBpsbPb692avF3AF1F7faFlzfVywD3Gm9F9nd5FERm9Fld6uHoChTZd0I9mLX87PENbKw6n7007POFruSSAnV+lzvkKSEC5Ie/93jjwiJWA+vN6Yj7WGbAPb3/uJf9YldbTTF13hv/LCqY8e7Mx31atVW4N9j+U07rkZ7PrcPs5BWWsViliSfZimAY0n6J/0X/YC2U9ML/OeUVB+slNHOskckp8KOEcWCINs7Bf9+XZVZD4x+cRLQRGMeRKYnh00RnXDZH3NTiEU1f9EavkECT2//XIVbyQHw3YzDzn1GaBMrznXJZKIiMZrumrsLmCiI5McoS4KL+6KHWii04P8TZfaQqxLG/zL1F7LHv5im/xJGspkj5sXF2rC46ru2U9ZRFA0xFwofd28pj8/Etoubad+DywdyJpnt5FHS8ZDzQqZRFSXW6xhTS+DCpgZqS4yIpiPW+Rgwz4aLcjmMAgf4tBH9sxb48Rm9MCvcAu8BHOQOGAfazGuCTcmj1p4T+oguegAE8+8YPj4BP+yniYAihgT/pThnUCAxM/bvmEPrrOhW8IyZJCNfETX6dO6oPCBhy+UQwboLzZxi5HMEb16fKLDOwtoHm6otOyhoByzDxai89yoZ+fNFv43B1GOgNqw6BZ7sKqhuHco24PGTGzpDiFDCKpwanU5TIHOIsxFebNLgcZx1F7/PbOUpS2lkWUnZbmj8lvrqcdDY0FtSvBq06Xo0qRJw8VZQnnmJHV/Xf7hg/qrOuiwbHndbRIe1V/14T/5WwB5S2I+goD5vChrMqt85w0eH9VMWJu0Eav3Z3zOsBaImRx4O/jVAkpKXSLuVLCD+ILIQag1RyL/8Rf3dB0G4eOTYTEPg2CRlr7m4JoLZNp+P8z43B78+Eb6ejOZUX7qx9SIJFW429hYw6JFBmMjbVkBEWXkhJquKTNToLLrsmSzIxHZNfIG7wMldHaFprokh4RuKnCP+w55wsP7wtqBCk4QOaVxameXGZgmbSwsrxlA2qZLymavTb3Uqb02pY3+KvLmEPrdWD+dRDZD5ADn3ccmRFBzHuYiWchvZPdzlvC6e+UQ9X6Pup/TJU6AH1bV6TEn1IDGaEHaI2kXOFdhLubvsSnpddLLPNEb8kdmPK/NKqJjuHv9upEBUC6fWcvq5wrCufRrKmw6kD8TYH5uiQg9CcmMq0VWcK/N3fqWjCcggW7HUAcyimikRCyXGsDOa28Oa3SzQ7wth+xnDgXg9Wpm5S41gi2ulkqMabro444jvIM81qAtHH7Hu0YBRVfMhlXz8gJbk8Oe3556sIgzX6o8zo3mlXqa6QdJyGzwhbVRBTOaXxHPvimmhGKfYy4lm72mxBhT+05U39IZXmQPyRysWu2dFqjLvHHVx4IZ8i5iLk/aRSxXs+YI26fsaP7tP5quIl3gckJ254Cd6M4Lew/svfFQRRoNEndQXS7aYe+o/65H0bvgM1AxOTY4sBqHbD6byBhpRIIVKX/VgNUNnrdA9oxWHMwLjjIGXecFJjTxgTkrDQm4DTvqkDJgtfwlW8L+k6jymfj6EYVQCH4yY+o9Gooe03TdTJaUhzBKUrhQYwro9es8Pzgei0ymbl9RGgkH+qmQ0RNGLihqXUJpYPkIpHNzPe3i3AoZtXjW6eBEdLU2JtsaEiFqNPMPhHqixp61JJ0v7mDLifXakAPrkjYvmdrrjS47VT1/QE+Cw0QcySZo562sVFY3NvT0rQV9RtxHglDN5drdG58ITaeMqfuFwQddUx5xwM4U1rmCK5KoLlk5TTJfApYW6dyLpI632VYwUGfAy1rakIORUMjgg3tTpA4sUx4S+OFIkNHQ3t37yQ2uE0+VnQ1UgPErG6gepwHNZ8ZmvtP5gVpR/ZRutw+E7eGbq3M1Qj95vAS5vx4CzoXwo0khcqiwf+rstxQJ+CnXfnnURx1eu9Nx99VwgkycxLZFNy/Q20H/c1pXAa3vyRqQl98Bu3npOLsDCFAjwVzFH2CObFWP1givqILkerfUflpeCGYx7iOxKcPc5nfMr0CsS8xkXurv1URuDz3nbm6G+FP1dRdukVCoSUmuTj4XqriOufhYZA2cbZwlcNVxU/fVY88MSrSpoyf0bQ5L+XooUZ5Zjz9IHlnKMlFdVI5ic/n16S8zuxLB563A/Ku/f/dBcpSFZu8jcMpdbCgiNQiI9gH3e4+N4q/FlIa1BIsCh0qOhvi4F+gETAhJPvKA8OAfZ23atSHY6dW+LbJ4ULg9l88syoR41Ei463Y6KKu146uFoyd878+TEaAXQN3M6YfJ4AqaF+x89ZiVYdLAekL2OQ51aD4ayGTlR6Sr+S3TUYbgIBn1Mi/cDGwyBCZUtypD7s7uyXZBFTjrj7nQmmJdyr5VSu113YncEuZ1FRRrHFpMMCWiG656Kd6zS3gNCuZSnRCtqCE5T8hrJ1P3WX5eWFs1UkE3N9aqeG5tg35PiXhTJzU0rYO9n+Ze7P3wErnChYqOgaikMxuL5gG4+InFvpfOAk0YHR4t3m4H2yw6E2guG8OnF0fM8I+5EY8crrydUQ00+wRoFPeHQM52zt1fe9XRruWQC4KVTpD6qLzEv1ELvMhTQ3b1exCkGe1xUHZFKpd6E7tHSTDustwmG+sAfoYzHDTaUtD6IoXhaQU/CM/Vusc9lId0oYiwjnUH9Obpxd68BSvolPi++2ebGTLrpO0/r60P2Zu9FurBuuQR+I3a96t1u/CjDw3Q3taxivdG20Bo3GEyeq8AhCViLjTvbJ9S6j4TfK6sUPc1HhJsfz0mwx6BZ08MNeXAJYzt01cpA5i7wUx1yZ/YcPs32T6b/Kh96QayHfHfvDzC0ErO99uG0nZAx/7ueZ2H5t97xJC1XtwKhYQ9aIZcIuREF0vgpsJB/x3bsN93G4jv8hGvzZnFWwwUnh9PlEMFsqk36NiVUBnry5N+uEOgGaUx9TuEDMInQ/XOMrqhLRLeDOl8vnCQX/D1mL0lYhyUl5vRFETtp2u2qsdwwQXBjGOLB1zgQCF90uzfe8/BscTtJ70huF8NsaVRYQDWh5gLzWavJ4JjqL3O9DCdXlrBocHygl/X42XRZHVDRsJ2HFradAm0ysjgiFogvFZIo+53b7v9PWijvrXq3oYnnz8Ofc0etG6rEEKLqetUl94b2DsyE3PZ/m3pJPxhC5DzJZEh/XqUqROHHQgJsa+odYQArtq61bBdFCJZ4BASFIYpE/97WoE+YJlpe19lNhCGB0zLeXx1ga1LoYgvRxeKn7NYmQsIw3E+DpmZybVWedtjScOhBDTHNe98f9EMmm1VRYnRdsCkt/424JQmRH8L5+sZl0FmG0JnI/jkAGb4/KsfWoA7rqH1S7EdGOVqzXh+1IRppqQZpQoSDG26XCrBuqQ3uG78r9fe/mjH8cvKkGjyNNA12AZNJ2VJ3inYaC23xlyUlkdang0vEGJ7xI3+7V/4IcO1piuPFhpuNrHutUSJupqcFHdW9I24jery5SP2jjjl+E4zRybCh6UH8YrPzNA+uj+0imfjoJtZanHihS/kl7pULQdawgtyEWfZS3XQSo+6dYlJD9hb8h7QzIQBjJhb85kLIBvuCZolOQd44n2hdFhXE71qlTBNktJHby61OeJLXeC/wqBOGQD482H90I+xw+Dn3KNm466NJBwa1iT08KgsYnq65bUmmBZb+yt9t4AEjUcsqReNwZ1lcutBVRVYpGk+wXRRGX5tuuS2Yb22MDSi3uO5u7es/bGnQMMDs3sUb11k5pCad7rVDAx+YS4OnNX0uaSvhNNNO6n79UJ+c6wnFZD04zif0RItlH9yfmIhRRONl2MuPR8ZsUn+c9FzLBU2zjZNtboeReYMx+MCDhwBV9OPFi0MHvC4qX8lzNsVrpZqr+FVlVAPh7Sc8k89GO6JUxjGxYFNzZQU/rojohm2WnueHAgZ/x27uyxjiDQ/uahtuPMhp8N4BXk7X7AZqA3eeOaOnuaNho94BIHTnd1lJ49Yoe0NVVMDN5TAKsFMqMBWFal7j0hocemjnIHR95G3jgDX8Gqcj64a2t6bk9nvbAkXXmG97qnDulSl7kvt9Z5mtSiGd7qoufiT3Dd+RTSdZsM1SI9DVRdjUKLFLGFub/fW/rE5gkOTHXV/7Nv7wR3rksipqjbmis8eFHKC6OASwQkvKsTGtR+Q2zo/GFNn3KqwnVVwLBwzFUr7IuEAAR/Td6pkRQJbnpCH2D5veODVl7/VZz/6OmoxO8mNQ2Wt3cdyK0OgkXRScEDVFBTClKbE+NSg0pnXmeC5hD8d2ZzsySkP5Q1q60wn8ChgMnkm/a0/0PktFto5C4KL/VVDx3YvqLwb+XUkWxXVSqqM8UuroteXWB5HsMhCEqH89O06NdiVoyRwPF4XBNjKzYV/koHsoe5iflwEzGoxl6vmWJfmNJipvXaZVcmmL1BEwXGO2n/26iKjoLgurxQ2IPNiLr2WBy62Fc4T6mbcqPd7ea/JFo8wBVDIRSFmq4Jo8nz042tJmpDwmUR1ucevQZ2tS0kLHzaiYWRhS3yfRiiqCQ//89zEE9Qrjd5d2nYI2iz7o6vYiRBAZzDCwUuC1yU70jSvBoJzpFbJyVN+YKBYu+1mABkdz6h5Vf3KDjLmm/WvkYjoArn03RuDneg/nw6REh9/MG+enBPRtUWSpi6+6jTOcLBrB01l8yE0R77nHtbCDtw8sQbDUwRgyCl+ylFLhoKvzSx1t5TgTG2IUKw5L0zP8wnY6OLhJRlzYdjsdYpPPLXXwqOn68IbAJVXZSl86BREZ4rtJn6FC6PCTRcLj9erJP4vBGbHc9T9M0s1R/2siBAy2V3SqCwEQd9HZT1aylpLYuWoLqlaStRJqVQtYUwMA+FdVl9mcLzQXDspTvDxgSzP5Nq8h/rQeKUtnnJbDCjWVsJbeQggOPzzSqu4P+S+o5Swx5nCLe3A+8EdOqhiN4dFiqou/HjwqGTOWwVMdp3rP16mCq42O/YfIbqD0aJ9Xx+DIojVi32S13OD1PJk98QyWTSyuKp6p1wAnampHvpvSAjUuB+KKkeZg1erqOgJPjLQdW/wCvqTULni2KGbsQAWJzCXW2+xLs3iEbXXbp5MDyTkCEhtitFLoc4AZqqr7mTq86ELrpjL66aJ9dAbC4QLJ7Zt/n/c9Oe5PVLg2l9tZPBKDAW0pQ0YiewBA19Bqkv0aQ7qtF4YWDpwPhrlMocHqF0LQmsCMVNEBg/kHWTTFSDmDW8t2CJ1nglCfUSTFPOLA8iocMwwazAC8pZP0wxPBsGF7Tkxjy20ocw4+xkl8xBkF7X3WVVpQJBt25UV8iEQVVpPOHkqCOUvW/kMhsujO25737f284D9ZBnTUA4FcQkcscvqUkRD+GreV2JCqIfglqixxQOArvWSoLEz7D9Hu8Lq/NfXNpQ2NE4F1Dd7bW+JdSlosJXa65ErD8R/uDXgG/3Fi58tklEg77HOPp+/+3cxF/uOd9c4Or8S9uphv4cjY5CUnlJKRGOzYewfijXRDs69a+V5uqhzXpTqkhWsRp0uCvWP9ruEQ2WQvtp/0QHQ9uXnqT0xwTD4qYdmov8IKOTYRNedsQeea5dW1/B/v6N0nH0fb/WCmND3fS0vjkLKcl2wvLAtMtirvWqwxQ9oY5ReVZZqA5dF2svpTn1UIH9KIXa/O9BPKGQb0OrDasNA/nlPP1gvviQ4tERANxhHZC3zdKGot8NP9MsMXjYyg747gQEh41q9lMO+MEzD88Z/Xgt9/tPYTdC1hMsWmEvOEtYlStd53X+9/twdL/uxTQ/JZ7LcTls0Q9sWYhpiTUUh5j7mUpR9wpFt+SshdHKL3r/90a5ubYvdyvCJMqWsmqwLobqrRaTa762GkjJUl8nBXZjPcITfmbJgsLrp37XtlyVSKZiaqPt7L55ruS7c+sEHcKPRfDgeMyhIu2DZ0M4Hl7tu3ZoNPAJCkFBCiY+E7RqRlwJSrRDi3hqBk9OCCS7yRDOfKMy8Gq64K6YNPxLTfjUaOILk+RoH1iV1VN8zkrT2wgX2dRZ9bI8jorNr/32DIhlILIhju8suDmJXJ3Ryr2tDVrV/1Eq7I4xLx4Qd/UMGu94POEKtMezfdFHiwHr92VqV/l+vnapepjLT4BCN6CRd9EMiWm43t/tcLw4LmZhLPU5v2wb5G6FNjUS93/ezcWvoB5BQd3zu/FolARDTm3n+djE0lslDdcHzEKkzatpY+tv9k2B2h/O17DtPqCkLZ3DOcwOpdgevookAYFowZfgtawMZg4nE7H2KwDUknmRu5Yduj1lLMYrEAVfhIcH3PUdQr+OMQkOJC7jTEkNoFOlg+7keu/cUJtS3cjOmwDcQ8p/t/c5bJw8STQ8k6Gkc4eD9qHSP/YJwvvSH3KNWAygPEhYf2KYERSLGTHuyzNG36gC7OPtguFL746OLqTHsPH1M1PG9JfwPu/JsMQAA</ELEMENTS>
+</NEKTAR>
diff --git a/utilities/LSIACutil/Tests/PP_error.fld b/utilities/LSIACutil/Tests/PP_error.fld
new file mode 100644
index 0000000000..06eabd184f
--- /dev/null
+++ b/utilities/LSIACutil/Tests/PP_error.fld
@@ -0,0 +1,13 @@
+<?xml version="1.0" encoding="utf-8" ?>
+<NEKTAR>
+ <Metadata>
+ <Provenance>
+ <GitBranch>refs/heads/master</GitBranch>
+ <GitSHA1>3441e8a5c22977156efee6c6bb75a21cbac649b4</GitSHA1>
+ <Hostname>mth240</Hostname>
+ <NektarVersion>4.4.0</NektarVersion>
+ <Timestamp>03-Jul-2017 14:42:33</Timestamp>
+ </Provenance>
+ </Metadata>
+ <ELEMENTS FIELDS="UstarError" SHAPE="Quadrilateral" BASIS="Modified_A,Modified_A" NUMMODESPERDIR="UNIORDER:6,6" ID="0-83" COMPRESSED="B64Z-LittleEndian" 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+</NEKTAR>
diff --git a/utilities/LSIACutil/Tests/gmon.out b/utilities/LSIACutil/Tests/gmon.out
new file mode 100644
index 0000000000000000000000000000000000000000..4671fe945c58b30cc8310a53ccd11d1ce8076747
GIT binary patch
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literal 0
HcmV?d00001
diff --git a/utilities/LSIACutil/Tests/lsiac_filtering.tst b/utilities/LSIACutil/Tests/lsiac_filtering.tst
new file mode 100644
index 0000000000..dd78c9bc11
--- /dev/null
+++ b/utilities/LSIACutil/Tests/lsiac_filtering.tst
@@ -0,0 +1,15 @@
+<?xml version="1.0" encoding="utf-8"?>
+<test>
+ <description> LSIAC filtering polynomial reproduction check </description>
+ <executable>LSIACFiltering </executable>
+ <parameters>2Dtrimesh.xml 2Dtrimesh.fld standard </parameters>
+ <files>
+ <file description="Input File">2Dtrimesh.xml</file>
+ <file description="Input File 2">2Dtrimesh.fld</file>
+ </files>
+ <metrics>
+ <metric type="L2" id="0">
+ <value variable="uStar" tolerance="1e-10">0.0709235</value>
+ </metric>
+ </metrics>
+</test>
diff --git a/utilities/LSIACutil/Tests/test2.fld b/utilities/LSIACutil/Tests/test2.fld
new file mode 100644
index 0000000000..da9691f126
--- /dev/null
+++ b/utilities/LSIACutil/Tests/test2.fld
@@ -0,0 +1,13 @@
+<?xml version="1.0" encoding="utf-8" ?>
+<NEKTAR>
+ <Metadata>
+ <Provenance>
+ <Hostname>mth240</Hostname>
+ <NektarVersion>4.3.5</NektarVersion>
+ <Timestamp>03-Jul-2017 12:26:15</Timestamp>
+ </Provenance>
+ <SessionName0>test2.xml</SessionName0>
+ <Time>0</Time>
+ </Metadata>
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diff --git a/utilities/LSIACutil/Tests/test2.vtu b/utilities/LSIACutil/Tests/test2.vtu
new file mode 100644
index 0000000000..643cd118e8
--- /dev/null
+++ b/utilities/LSIACutil/Tests/test2.vtu
@@ -0,0 +1,3461 @@
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diff --git a/utilities/LSIACutil/Tests/test2.xml b/utilities/LSIACutil/Tests/test2.xml
new file mode 100644
index 0000000000..2a62df0aaa
--- /dev/null
+++ b/utilities/LSIACutil/Tests/test2.xml
@@ -0,0 +1,325 @@
+<?xml version="1.0" encoding="utf-8" ?>
+<NEKTAR>
+<EXPANSIONS>
+<E COMPOSITE="C[0]" NUMMODES="4" FIELDS="u" TYPE="MODIFIED" />
+</EXPANSIONS>
+
+<CONDITIONS>
+<SOLVERINFO>
+<I PROPERTY="EQTYPE" VALUE="UnsteadyAdvection" />
+<I PROPERTY="Projection" VALUE="DisContinuous"/>
+<I PROPERTY="AdvectionType" VALUE="WeakDG"/>
+<I PROPERTY="UpwindType" VALUE="Upwind"/>
+<I PROPERTY="TimeIntegrationMethod" VALUE="ClassicalRungeKutta4"/>
+</SOLVERINFO>
+
+<PARAMETERS>
+<P> FinTime = 0.0 </P>
+<P> NumSteps = 0 </P>
+<P> TimeStep = 0 </P>
+<P> advx = 1 </P>
+<P> advy = 1 </P>
+</PARAMETERS>
+
+<VARIABLES>
+ <V ID="0"> u </V>
+</VARIABLES>
+
+<BOUNDARYREGIONS>
+<B ID="0"> C[1] </B>
+<B ID="1"> C[2] </B>
+<B ID="2"> C[3] </B>
+<B ID="3"> C[4] </B>
+</BOUNDARYREGIONS>
+
+<BOUNDARYCONDITIONS>
+ <REGION REF="0"> // South border
+ <P VAR="u" VALUE="[2]" />
+ </REGION>
+ <REGION REF="1"> // West border
+ <P VAR="u" VALUE="[3]" />
+ </REGION>
+ <REGION REF="2"> // North border
+ <P VAR="u" VALUE="[0]" />
+ </REGION>
+ <REGION REF="3"> // East border
+ <P VAR="u" VALUE="[1]" />
+ </REGION>
+</BOUNDARYCONDITIONS>
+<FUNCTION NAME="AdvectionVelocity">
+ <E VAR="Vx" VALUE="1" />
+ <E VAR="Vy" VALUE="1" />
+</FUNCTION>
+ <FUNCTION NAME="ExactSolution">
+ <E VAR="u" VALUE="1.2" />
+ </FUNCTION>
+ <FUNCTION NAME="InitialConditions">
+ <E VAR="u" VALUE="1.2" />
+ </FUNCTION>
+</CONDITIONS>
+<GEOMETRY DIM="2" SPACE="2">
+ <VERTEX>
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+ <V ID="46"> 0.2520563151464129 0.9743760203823336 0.0 </V>
+ <V ID="47"> 0.3703711931921408 0.9743760203823336 0.0 </V>
+ <V ID="48"> 0.6053009603197226 0.9743760203823336 0.0 </V>
+ <V ID="49"> 0.8448329703625446 0.9743760203823336 0.0 </V>
+ </VERTEX>
+
+ <EDGE>
+ <E ID="0"> 0 1 </E>
+ <E ID="1"> 1 2 </E>
+ <E ID="2"> 2 3 </E>
+ <E ID="3"> 3 4 </E>
+ <E ID="4"> 0 5 </E>
+ <E ID="5"> 1 6 </E>
+ <E ID="6"> 2 7 </E>
+ <E ID="7"> 3 8 </E>
+ <E ID="8"> 4 9 </E>
+ <E ID="9"> 5 6 </E>
+ <E ID="10"> 6 7 </E>
+ <E ID="11"> 7 8 </E>
+ <E ID="12"> 8 9 </E>
+ <E ID="13"> 5 10 </E>
+ <E ID="14"> 6 11 </E>
+ <E ID="15"> 7 12 </E>
+ <E ID="16"> 8 13 </E>
+ <E ID="17"> 9 14 </E>
+ <E ID="18"> 10 11 </E>
+ <E ID="19"> 11 12 </E>
+ <E ID="20"> 12 13 </E>
+ <E ID="21"> 13 14 </E>
+ <E ID="22"> 10 15 </E>
+ <E ID="23"> 11 16 </E>
+ <E ID="24"> 12 17 </E>
+ <E ID="25"> 13 18 </E>
+ <E ID="26"> 14 19 </E>
+ <E ID="27"> 15 16 </E>
+ <E ID="28"> 16 17 </E>
+ <E ID="29"> 17 18 </E>
+ <E ID="30"> 18 19 </E>
+ <E ID="31"> 15 20 </E>
+ <E ID="32"> 16 21 </E>
+ <E ID="33"> 17 22 </E>
+ <E ID="34"> 18 23 </E>
+ <E ID="35"> 19 24 </E>
+ <E ID="36"> 20 21 </E>
+ <E ID="37"> 21 22 </E>
+ <E ID="38"> 22 23 </E>
+ <E ID="39"> 23 24 </E>
+ <E ID="40"> 20 25 </E>
+ <E ID="41"> 21 26 </E>
+ <E ID="42"> 22 27 </E>
+ <E ID="43"> 23 28 </E>
+ <E ID="44"> 24 29 </E>
+ <E ID="45"> 25 26 </E>
+ <E ID="46"> 26 27 </E>
+ <E ID="47"> 27 28 </E>
+ <E ID="48"> 28 29 </E>
+ <E ID="49"> 25 30 </E>
+ <E ID="50"> 26 31 </E>
+ <E ID="51"> 27 32 </E>
+ <E ID="52"> 28 33 </E>
+ <E ID="53"> 29 34 </E>
+ <E ID="54"> 30 31 </E>
+ <E ID="55"> 31 32 </E>
+ <E ID="56"> 32 33 </E>
+ <E ID="57"> 33 34 </E>
+ <E ID="58"> 30 35 </E>
+ <E ID="59"> 31 36 </E>
+ <E ID="60"> 32 37 </E>
+ <E ID="61"> 33 38 </E>
+ <E ID="62"> 34 39 </E>
+ <E ID="63"> 35 36 </E>
+ <E ID="64"> 36 37 </E>
+ <E ID="65"> 37 38 </E>
+ <E ID="66"> 38 39 </E>
+ <E ID="67"> 35 40 </E>
+ <E ID="68"> 36 41 </E>
+ <E ID="69"> 37 42 </E>
+ <E ID="70"> 38 43 </E>
+ <E ID="71"> 39 44 </E>
+ <E ID="72"> 40 41 </E>
+ <E ID="73"> 41 42 </E>
+ <E ID="74"> 42 43 </E>
+ <E ID="75"> 43 44 </E>
+ <E ID="76"> 40 45 </E>
+ <E ID="77"> 41 46 </E>
+ <E ID="78"> 42 47 </E>
+ <E ID="79"> 43 48 </E>
+ <E ID="80"> 44 49 </E>
+ <E ID="81"> 45 46 </E>
+ <E ID="82"> 46 47 </E>
+ <E ID="83"> 47 48 </E>
+ <E ID="84"> 48 49 </E>
+ <E ID="85"> 0 6 </E>
+ <E ID="86"> 1 7 </E>
+ <E ID="87"> 2 8 </E>
+ <E ID="88"> 3 9 </E>
+ <E ID="89"> 5 11 </E>
+ <E ID="90"> 6 12 </E>
+ <E ID="91"> 7 13 </E>
+ <E ID="92"> 8 14 </E>
+ <E ID="93"> 10 16 </E>
+ <E ID="94"> 11 17 </E>
+ <E ID="95"> 12 18 </E>
+ <E ID="96"> 13 19 </E>
+ <E ID="97"> 15 21 </E>
+ <E ID="98"> 16 22 </E>
+ <E ID="99"> 17 23 </E>
+ <E ID="100"> 18 24 </E>
+ <E ID="101"> 20 26 </E>
+ <E ID="102"> 21 27 </E>
+ <E ID="103"> 22 28 </E>
+ <E ID="104"> 23 29 </E>
+ <E ID="105"> 25 31 </E>
+ <E ID="106"> 26 32 </E>
+ <E ID="107"> 27 33 </E>
+ <E ID="108"> 28 34 </E>
+ <E ID="109"> 30 36 </E>
+ <E ID="110"> 31 37 </E>
+ <E ID="111"> 32 38 </E>
+ <E ID="112"> 33 39 </E>
+ <E ID="113"> 35 41 </E>
+ <E ID="114"> 36 42 </E>
+ <E ID="115"> 37 43 </E>
+ <E ID="116"> 38 44 </E>
+ <E ID="117"> 40 46 </E>
+ <E ID="118"> 41 47 </E>
+ <E ID="119"> 42 48 </E>
+ <E ID="120"> 43 49 </E>
+ </EDGE>
+
+ <ELEMENT>
+ <T ID="0"> 85 9 4 </T>
+ <T ID="1"> 0 5 85 </T>
+ <T ID="2"> 86 10 5 </T>
+ <T ID="3"> 1 6 86 </T>
+ <T ID="4"> 87 11 6 </T>
+ <T ID="5"> 2 7 87 </T>
+ <T ID="6"> 88 12 7 </T>
+ <T ID="7"> 3 8 88 </T>
+ <T ID="8"> 89 18 13 </T>
+ <T ID="9"> 9 14 89 </T>
+ <T ID="10"> 90 19 14 </T>
+ <T ID="11"> 10 15 90 </T>
+ <T ID="12"> 91 20 15 </T>
+ <T ID="13"> 11 16 91 </T>
+ <T ID="14"> 92 21 16 </T>
+ <T ID="15"> 12 17 92 </T>
+ <T ID="16"> 93 27 22 </T>
+ <T ID="17"> 18 23 93 </T>
+ <T ID="18"> 94 28 23 </T>
+ <T ID="19"> 19 24 94 </T>
+ <T ID="20"> 95 29 24 </T>
+ <T ID="21"> 20 25 95 </T>
+ <T ID="22"> 96 30 25 </T>
+ <T ID="23"> 21 26 96 </T>
+ <T ID="24"> 97 36 31 </T>
+ <T ID="25"> 27 32 97 </T>
+ <T ID="26"> 98 37 32 </T>
+ <T ID="27"> 28 33 98 </T>
+ <T ID="28"> 99 38 33 </T>
+ <T ID="29"> 29 34 99 </T>
+ <T ID="30"> 100 39 34 </T>
+ <T ID="31"> 30 35 100 </T>
+ <T ID="32"> 101 45 40 </T>
+ <T ID="33"> 36 41 101 </T>
+ <T ID="34"> 102 46 41 </T>
+ <T ID="35"> 37 42 102 </T>
+ <T ID="36"> 103 47 42 </T>
+ <T ID="37"> 38 43 103 </T>
+ <T ID="38"> 104 48 43 </T>
+ <T ID="39"> 39 44 104 </T>
+ <T ID="40"> 105 54 49 </T>
+ <T ID="41"> 45 50 105 </T>
+ <T ID="42"> 106 55 50 </T>
+ <T ID="43"> 46 51 106 </T>
+ <T ID="44"> 107 56 51 </T>
+ <T ID="45"> 47 52 107 </T>
+ <T ID="46"> 108 57 52 </T>
+ <T ID="47"> 48 53 108 </T>
+ <T ID="48"> 109 63 58 </T>
+ <T ID="49"> 54 59 109 </T>
+ <T ID="50"> 110 64 59 </T>
+ <T ID="51"> 55 60 110 </T>
+ <T ID="52"> 111 65 60 </T>
+ <T ID="53"> 56 61 111 </T>
+ <T ID="54"> 112 66 61 </T>
+ <T ID="55"> 57 62 112 </T>
+ <T ID="56"> 113 72 67 </T>
+ <T ID="57"> 63 68 113 </T>
+ <T ID="58"> 114 73 68 </T>
+ <T ID="59"> 64 69 114 </T>
+ <T ID="60"> 115 74 69 </T>
+ <T ID="61"> 65 70 115 </T>
+ <T ID="62"> 116 75 70 </T>
+ <T ID="63"> 66 71 116 </T>
+ <T ID="64"> 117 81 76 </T>
+ <T ID="65"> 72 77 117 </T>
+ <T ID="66"> 118 82 77 </T>
+ <T ID="67"> 73 78 118 </T>
+ <T ID="68"> 119 83 78 </T>
+ <T ID="69"> 74 79 119 </T>
+ <T ID="70"> 120 84 79 </T>
+ <T ID="71"> 75 80 120 </T>
+ </ELEMENT>
+
+<COMPOSITE>
+<C ID="0"> T[0-71] </C>
+<C ID="1"> E[0,1,2,3] </C> // south border
+<C ID="2"> E[4,13,22,31,40,49,58,67,76] </C> // west border
+<C ID="3"> E[81,82,83,84] </C> // north border
+<C ID="4"> E[8,17,26,35,44,53,62,71,80] </C> // East border
+</COMPOSITE>
+
+<DOMAIN> C[0] </DOMAIN>
+
+</GEOMETRY>
+
+</NEKTAR>
diff --git a/utilities/LSIACutil/l2_linf_errors.cpp b/utilities/LSIACutil/l2_linf_errors.cpp
new file mode 100644
index 0000000000..e49419754c
--- /dev/null
+++ b/utilities/LSIACutil/l2_linf_errors.cpp
@@ -0,0 +1,205 @@
+#include <cstdio>
+#include <cstdlib>
+#include<vector>
+#include <iostream>
+#include<fstream>
+#include <string>
+#include<sstream>
+#include<limits>
+#include<iomanip>
+#include<cmath>
+#include<sys/stat.h>
+#include <LibUtilities/Memory/NekMemoryManager.hpp>
+#include <LibUtilities/BasicUtils/SessionReader.h>
+#include <LibUtilities/Communication/Comm.h>
+#include <LibUtilities/Polylib/Polylib.h>
+#include <MultiRegions/ExpList.h>
+#include <MultiRegions/ExpList3D.h>
+#include <MultiRegions/ExpList2D.h>
+using namespace Nektar;
+using namespace std;
+const double twoPi=2.*M_PI;
+
+using namespace std;
+int main(int argc, char* argv[])
+{
+ if(argc != 8)
+ {
+ cout<<" USAGE FOR "<<argv[0]<<endl;
+ cout<<" (1) mesh file (2) data file \n (3) field dimension (4) quadrature points per element (5) approximation degree\n (6) solution final time (7) differential operator"<<endl;
+ exit(1);
+ }
+ cout<<"-------------------------------------------------------------------------------------------"<<endl;
+ cout<<"Attention! I AM GOING TO SAMPLE THE DOMAIN [0,1]x[0,1] "<<endl;
+ cout<<"EVEN MORE Attention! I AM GOING TO ASSUME THAT YOUR SAMPLE WAS DONE USING LEGENDRE NODES"<<endl;
+ cout<<"-------------------------------------------------------------------------------------------"<<endl;
+ ifstream ifile;
+ string argv2 =argv[2];
+ int argc2 = 2;
+ LibUtilities::SessionReaderSharedPtr vSession
+ = LibUtilities::SessionReader::CreateInstance(argc2,argv);
+ SpatialDomains::MeshGraphSharedPtr mesh = SpatialDomains::MeshGraph::Read(vSession);
+ string ifilenamedat=argv2+".dat",ifilenamefld=argv2+".fld",ifileout="error"+argv2+".dat";
+ int dim=atoi(argv[3]);
+ vector<NekDouble> point(dim);
+ vector<NekDouble> approximation,solution,error;
+ vector<vector<NekDouble> >pointCoords(dim);
+ int num_points = atoi(argv[4]);
+ int num_modes = atoi(argv[5])+1;
+ double finaltime= atof(argv[6]);
+ double TOL = 1.e-8;
+ int coord = 0;
+ int diffop= atoi(argv[7]);
+ std::string str_diffop (argv[7]);
+ if(str_diffop.length() != 2 && str_diffop.length() != 3)
+ cout<<" you have entered wrong differential operator. Check usage: \n Differential operator: 10->dx (100 in 3D) 01->dy(010 in 3D) 001->dz 110 ->dxdy, "<<endl;
+ ifile.open(ifilenamedat.c_str());
+ cout<<" DIFFERENTIAL OPERATOR "<<diffop<<endl;
+ while(!ifile.eof())
+ {
+ double pointsum=0;
+ bool pointIsIn=true;
+ for(int d=0;d<dim;d++)
+ {
+ ifile>>point[d];
+ pointsum+=point[d];
+ if(point[d]<-TOL || point[d] > 1.+TOL )
+ pointIsIn=false;
+ }
+ if(pointIsIn)
+ {
+ for(int d=0;d<dim;++d)
+ pointCoords[d].push_back(point[d]);
+ double aux;
+ ifile>>aux;
+ approximation.push_back(aux);
+ switch(diffop)
+ {
+ case 10:
+ case 100:
+ case 01:
+ case 010:
+ solution.push_back(twoPi*cos(twoPi*(pointsum-2.*finaltime)));
+ break;
+ case 20:
+ case 200:
+ case 02:
+ case 110:
+ case 11:
+ case 101:
+ solution.push_back(-pow(twoPi,2)*sin(twoPi*(pointsum-2.*finaltime)));
+ break;
+ case 30:
+ case 300:
+ case 3:
+ case 210:
+ case 21:
+ case 120:
+ case 12:
+ case 102:
+ case 201:
+ solution.push_back(-pow(twoPi,3)*cos(twoPi*(pointsum-2.*finaltime)));
+ break;
+ case 31:
+ case 310:
+ case 301:
+ case 13:
+ case 220:
+ case 22:
+ case 202:
+ solution.push_back(pow(twoPi,4)*sin(twoPi*(pointsum-2.*finaltime)));
+ break;
+ default:
+ cerr<<" unrecognised differential operator"<<endl;
+ exit(1);
+ }
+ error.push_back(abs(solution[coord]-approximation[coord]));
+ ++coord;
+ }
+ ifile.ignore(std::numeric_limits<std::streamsize>::max(), '\n');
+ if(ifile.eof())
+ break;
+ }
+ ifile.close();
+ int dimData = error.size();
+ Array<OneD,NekDouble> errorArray(dimData),approximationArray(dimData);
+ for(int i=0;i<dimData;++i)
+ {
+ errorArray[i]=error[i];
+ approximationArray[i]=approximation[i];
+ }
+ MultiRegions::ExpListSharedPtr targetExp;
+ cout<<" NUM PTS "<<num_points<<" MODES "<<num_modes<<endl;
+ if(dim == 2)
+ {
+
+ const LibUtilities::PointsKey PkeyT1(num_points,LibUtilities::eGaussLobattoLegendre);
+ const LibUtilities::PointsKey PkeyT2(num_points,LibUtilities::eGaussRadauMAlpha1Beta0);
+ const LibUtilities::PointsKey PkeyQ1(num_points,LibUtilities::eGaussGaussLegendre);
+ const LibUtilities::PointsKey PkeyQ2(num_points,LibUtilities::eGaussGaussLegendre);
+ const LibUtilities::BasisKey BkeyT1(LibUtilities::eModified_A,num_modes,PkeyT1);
+ const LibUtilities::BasisKey BkeyT2(LibUtilities::eModified_B,num_modes,PkeyT2);
+ const LibUtilities::BasisKey BkeyQ1(LibUtilities::eModified_A,num_modes,PkeyQ1);
+ const LibUtilities::BasisKey BkeyQ2(LibUtilities::eModified_A,num_modes,PkeyQ2);
+ targetExp =
+ MemoryManager<MultiRegions::ExpList2D>::AllocateSharedPtr(vSession,BkeyT1,BkeyT2,BkeyQ1,BkeyQ2,mesh);
+ }
+ else if(dim == 3 )
+ {
+ const LibUtilities::PointsKey PkeyT1(num_points,LibUtilities::eGaussLobattoLegendre);
+ const LibUtilities::PointsKey PkeyT2(num_points,LibUtilities::eGaussRadauMAlpha1Beta0);
+ const LibUtilities::PointsKey PkeyT3(num_points,LibUtilities::eGaussRadauMAlpha2Beta0);
+ const LibUtilities::PointsKey PkeyQ1(num_points,LibUtilities::eGaussGaussLegendre);
+ const LibUtilities::PointsKey PkeyQ2(num_points,LibUtilities::eGaussGaussLegendre);
+ const LibUtilities::PointsKey PkeyQ3(num_points,LibUtilities::eGaussGaussLegendre);
+ const LibUtilities::BasisKey BkeyT1(LibUtilities::eModified_A,num_modes,PkeyT1);
+ const LibUtilities::BasisKey BkeyT2(LibUtilities::eModified_B,num_modes,PkeyT2);
+ const LibUtilities::BasisKey BkeyT3(LibUtilities::eModified_C,num_modes,PkeyT3);
+ const LibUtilities::BasisKey BkeyH1(LibUtilities::eModified_A,num_modes,PkeyQ1);
+ const LibUtilities::BasisKey BkeyH2(LibUtilities::eModified_A,num_modes,PkeyQ2);
+ const LibUtilities::BasisKey BkeyH3(LibUtilities::eModified_A,num_modes,PkeyQ3);
+ targetExp =
+ MemoryManager<MultiRegions::ExpList3D>::AllocateSharedPtr(vSession,BkeyT1,BkeyT2,BkeyT3,BkeyH1,BkeyH2,BkeyH3,mesh);
+ }
+ targetExp->FwdTrans(approximationArray,targetExp->UpdateCoeffs());
+ std::vector<LibUtilities::FieldDefinitionsSharedPtr> fielddef;
+ cout<<" COPY APPROX "<<endl;
+ targetExp->GetFieldDefinitions(fielddef);
+ fielddef[0]->m_fields.push_back("approx");
+ std::vector<std::vector<NekDouble> > FieldData(fielddef.size());
+ for (int i = 0; i < FieldData.size(); ++i)
+ {
+ targetExp->AppendFieldData(fielddef[i], FieldData[i]);
+ }
+ targetExp->FwdTrans(errorArray,targetExp->UpdateCoeffs());
+ cout<<" WRTE ERROR "<<endl;
+ //targetExp->GetFieldDefinitions(fielddef);
+ fielddef[0]->m_fields.push_back("error");
+ for (int i = 0; i < FieldData.size(); ++i)
+ {
+ targetExp->AppendFieldData(fielddef[i], FieldData[i]);
+ }
+ LibUtilities::Write(ifilenamefld, fielddef, FieldData);
+ cout<<" APENDED NEW FIELD "<<endl;
+ int npts= approximationArray.num_elements();
+ Array<OneD,NekDouble> field_squared(npts);
+ double eLinf=0,eL2=0;
+ ofstream ofile;
+ ofile.precision(16);
+ ofile.open(ifileout.c_str());
+ for(int n=0;n<npts; ++n)
+ {
+ field_squared[n]=pow(error[n],2);
+ eLinf = max(eLinf,error[n]);
+ for(int d=0;d<dim;++d)
+ ofile<<pointCoords[d][n]<<"\t";
+ ofile<<approximation[n]<<"\t"<<error[n]<<"\t"<<solution[n]<<endl;
+ }
+ eL2=sqrt(targetExp->PhysIntegral(field_squared));
+ cout<<" GLOBAL ERRORS L2: "<<eL2<<"\t LINF: "<<eLinf<<endl;
+ ofile.close();
+ return 0;
+}
+
+
+
diff --git a/utilities/LSIACutil/lsiac_filtering.cpp b/utilities/LSIACutil/lsiac_filtering.cpp
new file mode 100644
index 0000000000..63952e8b13
--- /dev/null
+++ b/utilities/LSIACutil/lsiac_filtering.cpp
@@ -0,0 +1,286 @@
+#include <cstdio>
+#include <cstdlib>
+#include <iostream>
+#include <string>
+#include <LibUtilities/Memory/NekMemoryManager.hpp>
+#include <LibUtilities/BasicUtils/SessionReader.h>
+#include <MultiRegions/ExpList.h>
+#include <MultiRegions/ExpList3D.h>
+#include <LSIAC/SIACFilter2D.h>
+#include <LSIAC/SIACFilter3D.h>
+#include <LSIAC/HandleNekMesh.h>
+#include <LSIAC/HandleNekMesh2D.h>
+#include <LSIAC/HandleNekMesh3D.h>
+#include <LSIAC/SIACenumerators.h>
+#include <LibUtilities/Polylib/Polylib.h>
+#include <LSIAC/fieldDerivatives.cpp>
+#include <boost/filesystem.hpp>
+#include <string>
+#include <LibUtilities/BasicUtils/FieldIOXml.h>
+
+using namespace Nektar;
+using namespace LSIAC;
+using namespace std;
+const double twoPi=2.*M_PI;
+ofstream simfile;
+
+int main(int argc, char* argv[])
+{
+ if (argc < 4 || argc > 7)
+ {
+ cout << "USAGE FOR "<<argv[0]<<" IS:\n (1) mesh file\n (2) Conditions file\n (3) field file\n (4) filtering type: standard \n" << endl;
+ cout << "!OR !! \n (1) mesh file\n (2) Conditions file\n (3) field file\n (4) filtering type: standard || derivative \n (5) Differential operator: 10->dx (100 in 3D) 01->dy(010 in 3D) 001->dz 110 ->dxdy, etc\n " << endl;
+ cout<<"----------\n WITHOUT CONDITIONS FILE !!!!\n";
+ cout<<" (1) mesh file\n (2) field file\n (3) filtering type: standard \n"<< endl;
+ cout <<" (1) mesh file\n (2) field file\n (3) filtering type: standard || derivative \n (4) Differential operator: 10->dx (100 in 3D) 01->dy(010 in 3D) 001->dz 110 ->dxdy, etc\n" << endl;
+ return 0;
+ }
+ string fieldfile,filteringTypeStr;
+ int argc2;
+ if(boost::filesystem::extension(argv[1]) != ".xml")
+ {
+ cerr<<argv[1]<<" Unexpected file/argument. Check usage!!!"<<endl;
+ exit(1);
+ }
+ if(boost::filesystem::extension(argv[2]) == ".xml")
+ {
+ if(boost::filesystem::extension(argv[3]) == ".fld")
+ fieldfile = argv[3];
+ else
+ {
+ cerr<<argv[3]<<" Unexpected file/argument. Check usage!!!"<<endl;
+ exit(1);
+ }
+ filteringTypeStr = argv[4];
+ argc2 = 4;
+ }
+ else if(boost::filesystem::extension(argv[2]) == ".fld")
+ {
+ fieldfile = argv[2];
+ filteringTypeStr = argv[3];
+ argc2 = 3;
+ }
+ else
+ {
+ cerr<<argv[2]<<" Unexpected file/argument. Check usage!!!"<<endl;
+ exit(1);
+ }
+ LSIAC::FilterType ft;
+ if(strcmp(filteringTypeStr.c_str(),"standard") == 0 || strcmp(filteringTypeStr.c_str(),"STANDARD") == 0 || strcmp(filteringTypeStr.c_str(),"Standard") == 0 || strcmp(filteringTypeStr.c_str(),"std") == 0 || strcmp(filteringTypeStr.c_str(),"STD") == 0)
+ ft = LSIAC::eSTD;
+ else if(strcmp(filteringTypeStr.c_str(),"derivative") == 0 || strcmp(filteringTypeStr.c_str(),"DERIVATIVE") == 0 || strcmp(filteringTypeStr.c_str(),"Derivative") == 0 || strcmp(filteringTypeStr.c_str(),"der") == 0 || strcmp(filteringTypeStr.c_str(),"DER") == 0)
+ ft = LSIAC::eDER;
+ else
+ {
+ cout<<" Filtering options: 1) starndard: filters the field\n 2) derivative: computes the field filtered derivatives given by the differential operator "<<endl;
+ exit(10);
+ }
+ string logsim="LOG.dat";
+ simfile.open(logsim.c_str());
+ simfile<<" YOU RAN\n ";
+ for(int a=0;a<argc;++a)
+ simfile<<argv[a]<<"\t";
+ simfile<<endl;
+ // FIELD DATA
+ clock_t timestamp;
+ timestamp= clock();
+ double init_time=((float)(clock()-timestamp))/CLOCKS_PER_SEC;
+ // copy nektar stuff onto mesh pointer
+ LibUtilities::SessionReaderSharedPtr vSession
+ = LibUtilities::SessionReader::CreateInstance(argc2,argv);
+ SpatialDomains::MeshGraphSharedPtr mesh = SpatialDomains::MeshGraph::Read(vSession);
+ int dimMesh = mesh->GetMeshDimension();
+ std::vector<string> var = vSession->GetVariables();
+ int totFields = var.size();
+ // GET EXACT SOLUTION INFO
+ Array<OneD,LibUtilities::EquationSharedPtr> ex_sol(totFields);
+ LibUtilities::FieldMetaDataMap mdata_map;
+ for(int f=0;f<totFields;++f)
+ ex_sol[f] = vSession->GetFunction("ExactSolution",f);
+ //LibUtilities::FieldIO fIO(vSession->GetComm());
+ LibUtilities::FieldIOXml fIO(vSession->GetComm(),false);
+ fIO.ImportFieldMetaData(fieldfile,mdata_map);
+ NekDouble final_time = boost::lexical_cast<NekDouble>(mdata_map.find("Time")->second);
+ simfile<<" FINAL TIME "<<final_time<<endl;
+ Array<OneD,int> derivatives(dimMesh,0);
+ if(ft == eDER)
+ {
+ std::string str_diffop (argv[argc-1]);
+ if(str_diffop.length() != 2 && str_diffop.length() != 3)
+ cout<<" you have entered wrong differential operator. Check usage: \n Differential operator: 10->dx (100 in 3D) 01->dy(010 in 3D) 001->dz 110 ->dxdy, "<<endl;
+ simfile<<" DIFF OPERATOR: ";
+ for (unsigned int i=0; i<str_diffop.length(); ++i)
+ {
+ char aux = str_diffop.at(i);
+ derivatives[i]= aux- 48;
+ simfile<<" "<<derivatives[i]<<"\t";
+ }
+ simfile<<endl;
+ }
+ // CREATE EXPANSION TO FEED TO THE FILTER
+ HandleNekMeshSharedPtr HNM;
+ if( dimMesh == 2)
+ HNM = MemoryManager<HandleNekMesh2D>::AllocateSharedPtr(vSession);
+ else if(dimMesh == 3)
+ HNM = MemoryManager<HandleNekMesh3D>::AllocateSharedPtr(vSession);
+ else
+ {
+ cout<<"unsupported dimension. Sorry!\n";
+ exit(1);
+ }
+ cout<<" LOAD FIELD DATA"<<flush<<endl;
+ cout<<" VAR SIZE "<<var.size()<<endl;
+ HNM->LoadData(fieldfile,var);
+ // CONSTRUCT FILTER: USES 2k+1 splines of order k+1. You can modify this if you want
+ int field_poly_degree = HNM->m_expansions[0]->GetExp(0)->GetBasis(0)->GetNumModes()-1;
+ int siac_order = field_poly_degree + 1 ;
+ int siac_splines = 2*field_poly_degree + 1;
+ cout<<" FILTER "<<ft<<" SP ORDER "<<siac_order<<" NUM SP "<<siac_splines<<endl;
+ SIACFilterSharedPtr der_filter;
+ if( dimMesh == 2 )
+ {
+ der_filter=MemoryManager<SIACFilter2D>::AllocateSharedPtr(ft,HNM,siac_order,siac_splines,derivatives,true); // true= it will try to rotate the kernel to fit in corners.
+ }
+ else if(dimMesh == 3)
+ {
+ der_filter =MemoryManager<SIACFilter3D>::AllocateSharedPtr(ft,HNM,siac_order,siac_splines,derivatives,false);
+ }
+ der_filter->print_kernels=true;
+ cout<<" ORDER "<<siac_order<<" SPLINES "<<siac_splines<<endl;
+ // TARGET MESH: filtered solution is a polynomial of degree: field_poly_degree+siac_order+1 (convolution => siac*dg+1)
+ // We need to evaluate the field at more quadrature points than the default. Otherwise the projection to compute field data won't be exact.
+ MultiRegions::ExpListSharedPtr targetExp,Exp_morePoints;
+ int num_points,num_modes;
+ if(dimMesh == 2)
+ {
+ num_points = (field_poly_degree + siac_order) + 1; // For exact quadrature
+ const LibUtilities::PointsKey PkeyT1(num_points,LibUtilities::eGaussLobattoLegendre);
+ const LibUtilities::PointsKey PkeyT2(num_points,LibUtilities::eGaussRadauMAlpha1Beta0);
+ const LibUtilities::PointsKey PkeyQ1(num_points,LibUtilities::eGaussGaussLegendre);
+ const LibUtilities::PointsKey PkeyQ2(num_points,LibUtilities::eGaussGaussLegendre);
+ num_modes = (field_poly_degree + siac_order) + 1; // To project the solution on a basis that can cope
+ const LibUtilities::BasisKey BkeyT1(LibUtilities::eModified_A,num_modes,PkeyT1);
+ const LibUtilities::BasisKey BkeyT2(LibUtilities::eModified_B,num_modes,PkeyT2);
+ const LibUtilities::BasisKey BkeyQ1(LibUtilities::eModified_A,num_modes,PkeyQ1);
+ const LibUtilities::BasisKey BkeyQ2(LibUtilities::eModified_A,num_modes,PkeyQ2);
+ targetExp =
+ MemoryManager<MultiRegions::ExpList2D>::AllocateSharedPtr(vSession,BkeyT1,BkeyT2,BkeyQ1,BkeyQ2,mesh);
+ int num_modes_0 = field_poly_degree + 1;
+ const LibUtilities::BasisKey BkeyT1_0(LibUtilities::eModified_A,num_modes_0,PkeyT1);
+ const LibUtilities::BasisKey BkeyT2_0(LibUtilities::eModified_B,num_modes_0,PkeyT2);
+ const LibUtilities::BasisKey BkeyQ1_0(LibUtilities::eModified_A,num_modes_0,PkeyQ1);
+ const LibUtilities::BasisKey BkeyQ2_0(LibUtilities::eModified_A,num_modes_0,PkeyQ2);
+ Exp_morePoints =
+ MemoryManager<MultiRegions::ExpList2D>::AllocateSharedPtr(vSession,BkeyT1_0,BkeyT2_0,BkeyQ1_0,BkeyQ2_0,mesh); // This is just to print DG stuff using more nodes
+ }
+ else if(dimMesh == 3 )
+ {
+ num_points = (field_poly_degree + siac_order + 1) + 1;
+ const LibUtilities::PointsKey PkeyT1(num_points,LibUtilities::eGaussLobattoLegendre);
+ const LibUtilities::PointsKey PkeyT2(num_points,LibUtilities::eGaussRadauMAlpha1Beta0);
+ const LibUtilities::PointsKey PkeyT3(num_points,LibUtilities::eGaussRadauMAlpha2Beta0);
+ const LibUtilities::PointsKey PkeyQ1(num_points,LibUtilities::eGaussGaussLegendre);
+ const LibUtilities::PointsKey PkeyQ2(num_points,LibUtilities::eGaussGaussLegendre);
+ const LibUtilities::PointsKey PkeyQ3(num_points,LibUtilities::eGaussGaussLegendre);
+ num_modes = (field_poly_degree + siac_order + 1) + 1;
+ const LibUtilities::BasisKey BkeyT1(LibUtilities::eModified_A,num_modes,PkeyT1);
+ const LibUtilities::BasisKey BkeyT2(LibUtilities::eModified_B,num_modes,PkeyT2);
+ const LibUtilities::BasisKey BkeyT3(LibUtilities::eModified_C,num_modes,PkeyT3);
+ const LibUtilities::BasisKey BkeyH1(LibUtilities::eModified_A,num_modes,PkeyQ1);
+ const LibUtilities::BasisKey BkeyH2(LibUtilities::eModified_A,num_modes,PkeyQ2);
+ const LibUtilities::BasisKey BkeyH3(LibUtilities::eModified_A,num_modes,PkeyQ3);
+ targetExp =
+ MemoryManager<MultiRegions::ExpList3D>::AllocateSharedPtr(vSession,BkeyT1,BkeyT2,BkeyT3,BkeyH1,BkeyH2,BkeyH3,mesh);
+ int num_modes_0 = field_poly_degree +1;
+ const LibUtilities::BasisKey BkeyT1_0(LibUtilities::eModified_A,num_modes_0,PkeyT1);
+ const LibUtilities::BasisKey BkeyT2_0(LibUtilities::eModified_B,num_modes_0,PkeyT2);
+ const LibUtilities::BasisKey BkeyT3_0(LibUtilities::eModified_C,num_modes_0,PkeyT3);
+ const LibUtilities::BasisKey BkeyH1_0(LibUtilities::eModified_A,num_modes_0,PkeyQ1);
+ const LibUtilities::BasisKey BkeyH2_0(LibUtilities::eModified_A,num_modes_0,PkeyQ2);
+ const LibUtilities::BasisKey BkeyH3_0(LibUtilities::eModified_A,num_modes_0,PkeyQ3);
+ Exp_morePoints =
+ MemoryManager<MultiRegions::ExpList3D>::AllocateSharedPtr(vSession,BkeyT1_0,BkeyT2_0,BkeyT3_0,BkeyH1_0,BkeyH2_0,BkeyH3_0,mesh);
+ }
+ // Set point list for postprocessing.
+ cout<<" GET PP LISET"<<endl;
+ int TotMeshPoints = targetExp->GetTotPoints();
+ Array<OneD,Array<OneD,NekDouble> > xc(dimMesh);
+ for(int d=0;d<dimMesh;++d)
+ xc[d]=Array<OneD,NekDouble> (TotMeshPoints,0.);
+ if( dimMesh == 2 )
+ targetExp->GetCoords(xc[0],xc[1]);
+ else if(dimMesh == 3)
+ targetExp->GetCoords(xc[0],xc[1],xc[2]);
+ Array<OneD,Array<OneD,NekDouble> > ppPointsList(TotMeshPoints);
+ for (int i=0; i< TotMeshPoints; i++)
+ {
+ ppPointsList[i]=Array<OneD,NekDouble> (dimMesh) ;
+ for(int d=0;d<dimMesh;++d)
+ ppPointsList[i][d] = xc[d][i];
+ }
+ for(int f=0;f<totFields ; ++ f)
+ {
+ Array<OneD,NekDouble> fieldCoeffs = HNM->m_expansions[0]->GetCoeffs();
+ Exp_morePoints->SetCoeffsArray(fieldCoeffs);
+ Exp_morePoints->BwdTrans(Exp_morePoints->GetCoeffs(), Exp_morePoints->UpdatePhys());
+ Array<OneD,NekDouble> filtered_sol(TotMeshPoints),init_sol(TotMeshPoints),exact_sol(TotMeshPoints);
+ ex_sol[f]->Evaluate(xc[0],xc[1],xc[1],final_time,exact_sol);
+ cout<<" DIFFERENTIATE FIELD "<<endl;
+ if(ft == eDER)
+ HNM->DifferentiateField(mesh,vSession,Exp_morePoints,derivatives,init_sol);
+ else if (ft == eSTD)
+ init_sol=Exp_morePoints->GetPhys();
+ NekDouble init_l2_error = targetExp->L2(init_sol, exact_sol);
+ NekDouble init_linf_error = targetExp->Linf(init_sol, exact_sol);
+ simfile<<" --------------DG GLOBAL L2 & LINF ERRORS FOR DG "<<endl;
+ simfile<<" L2 "<<init_l2_error<<" Linf "<<init_linf_error<<endl;
+ double prep_time=((float)(clock()-timestamp))/CLOCKS_PER_SEC;
+ simfile<<"----------------------------- PREPROCESSING TIME "<<prep_time-init_time<<"----------------------------- \n";
+ simfile<<"\n\n Sampling "<<TotMeshPoints<<" POINTS \n\n"<<endl;
+ double tmin=0;
+ double tmax=TotMeshPoints;
+ for(int pt= tmin;pt<tmax;++pt)
+ {
+ cout<<" FILTERING "<<endl;
+ bool filter=der_filter->FilterPoint(ppPointsList[pt],filtered_sol[pt]);
+ cout<<boolalpha<<filter<<endl;
+ }
+ double postp_time=((float)(clock()-timestamp))/CLOCKS_PER_SEC;
+ simfile<<"\n----------------------------- POSTPROCESSING TIME "<<postp_time-prep_time<<"---------------------------------"<<endl;
+ // GET ABS ERROR (POINTWISE PROFILE)
+ Array<OneD,NekDouble> init_err(TotMeshPoints,0.),abs_init_err(TotMeshPoints,0.);
+ Vmath::Vsub(TotMeshPoints, exact_sol, 1, init_sol, 1, init_err, 1);
+ Vmath::Vabs(TotMeshPoints,init_err,1,abs_init_err,1);
+ Array<OneD,NekDouble> filtered_err(TotMeshPoints,0.),abs_filtered_err(TotMeshPoints,0.);
+ Vmath::Vsub(TotMeshPoints, exact_sol, 1, filtered_sol, 1, filtered_err, 1);
+ Vmath::Vabs(TotMeshPoints,filtered_err,1,abs_filtered_err,1);
+ // WRITE DG DATA
+ string nameDG="DG",nameDGdat=nameDG+".dat",nameDGfld=nameDG+".fld",nameDGerr_fld=nameDG+"_error.fld";
+ HNM-> write_in_dat_format(init_sol,exact_sol,ppPointsList,dimMesh,nameDGdat);
+ // WRITE FLD FILES
+ HNM->write_in_fld_format(targetExp,init_sol,"Uoriginal",nameDGfld);
+ HNM->write_in_fld_format(targetExp,abs_init_err,"UerrorOriginal",nameDGerr_fld);
+ // WRITE PP DATA
+ string namePP="PP",namePPfld=namePP+".fld", namePPdat=namePP+".dat", namePPerr_fld=namePP+"_error.fld";
+ HNM->write_in_fld_format(targetExp,filtered_sol,"Ustar",namePPfld);
+ HNM->write_in_dat_format(filtered_sol,exact_sol,ppPointsList,dimMesh,namePPdat);
+ HNM->write_in_fld_format(targetExp,abs_filtered_err,"UstarError",namePPerr_fld);
+ //
+ simfile<<"\n -------------------------------"<<endl;
+ simfile<<"Output file info: \n We have used ";
+ cout<<" DG L2 error = "<<HNM->m_expansions[0]->L2(init_sol,exact_sol)<<"\t Linf error= "<<HNM->m_expansions[0]->Linf(init_sol,exact_sol)<<endl;
+ cout<<" LSIAC L2 error = "<<HNM->m_expansions[0]->L2(filtered_sol,exact_sol)<<"\t Linf error= "<<HNM->m_expansions[0]->Linf(filtered_sol,exact_sol)<<endl;
+ cout<<" VAR NORM = "<<HNM->m_expansions[0]->L2(exact_sol)<<"\t Linf error= "<<HNM->m_expansions[0]->Linf(filtered_sol,exact_sol)<<endl;
+ cout<<" DG L2 error = "<<HNM->m_expansions[0]->L2(init_sol)<<"\t Linf error= "<<HNM->m_expansions[0]->Linf(init_sol)<<endl;
+ }
+ for(int d=0;d<dimMesh ; ++d)
+ simfile<<targetExp->GetExp(0)->GetBasis(d)->GetNumModes()<<"\t";
+ simfile<<" modes for the unfiltered solution "<<endl;
+ simfile<<" SIAC KERNEL: \n (1): "<<der_filter->m_filterName<<" USING \n --> "<<der_filter->m_SymKernelInfo<<"\n --> "<<der_filter->m_OneKernelInfo<<endl;
+ simfile<<"________________________________________________________________________"<<endl;
+ simfile<<"outputfiles:\n (1) .dat:\n columns are: postprocessing point 1-2 (2D) 1-3 (3D) and then, for v=0:totFields, pairs: filtered solution & error\n";
+ simfile<<" (2) .fld: creates a field file with the filtered solution and another with the point-wise error. These files can be visualized in paraview using the Nektar utility: \n FieldConvert meshfile.xml solutionfile.fld yournameforparaview.vtu\n";
+ simfile.close();
+ return 0;
+}
+
diff --git a/utilities/LSIACutil/modestest.cpp b/utilities/LSIACutil/modestest.cpp
new file mode 100644
index 0000000000..8dfc587dd7
--- /dev/null
+++ b/utilities/LSIACutil/modestest.cpp
@@ -0,0 +1,51 @@
+#include <cstdio>
+#include <cstdlib>
+#include <iostream>
+#include <LibUtilities/Memory/NekMemoryManager.hpp>
+#include <LibUtilities/BasicUtils/SessionReader.h>
+#include <MultiRegions/ExpList.h>
+#include <MultiRegions/ExpList2D.h>
+#include <MultiRegions/ExpList3D.h>
+using namespace Nektar;
+using namespace std;
+
+int main(int argc, char* argv[])
+{
+ if (argc != 6)
+ {
+ cout << "USAGE FOR "<<argv[0]<<" IS:\n (1) xml file\n num modes X\n num modes Y\n num modes Z\n num quad pts"<<endl;
+ return 0;
+ }
+ int argc2 = 2;
+ LibUtilities::SessionReaderSharedPtr vSession
+ = LibUtilities::SessionReader::CreateInstance(argc2,argv);
+ SpatialDomains::MeshGraphSharedPtr mesh = SpatialDomains::MeshGraph::Read(vSession);
+ //
+ // TARGET MESH: create higher order expansion for ouputing stuff. It increases the number of postprocessing points so that projection to the 2k+2 basis is exact.
+ //
+ int num_points = atoi(argv[5]);
+ const LibUtilities::PointsKey PkeyT1(num_points,LibUtilities::eGaussLobattoLegendre);
+ const LibUtilities::PointsKey PkeyT2(num_points,LibUtilities::eGaussRadauMAlpha1Beta0);
+ const LibUtilities::PointsKey PkeyT3(num_points,LibUtilities::eGaussRadauMAlpha1Beta0);
+ const LibUtilities::PointsKey PkeyQ1(num_points,LibUtilities::eGaussGaussLegendre);
+ const LibUtilities::PointsKey PkeyQ2(num_points,LibUtilities::eGaussGaussLegendre);
+ const LibUtilities::PointsKey PkeyQ3(num_points,LibUtilities::eGaussGaussLegendre);
+ int num_modesX = atoi(argv[2]);
+ int num_modesY = atoi(argv[3]);
+ int num_modesZ = atoi(argv[4]);
+ const LibUtilities::BasisKey BkeyT1(LibUtilities::eModified_A,num_modesX,PkeyT1);
+ const LibUtilities::BasisKey BkeyT2(LibUtilities::eModified_B,num_modesY,PkeyT2);
+ const LibUtilities::BasisKey BkeyT3(LibUtilities::eModified_C,num_modesZ,PkeyT3);
+ const LibUtilities::BasisKey BkeyQ1(LibUtilities::eModified_A,num_modesX,PkeyQ1);
+ const LibUtilities::BasisKey BkeyQ2(LibUtilities::eModified_A,num_modesY,PkeyQ2);
+ const LibUtilities::BasisKey BkeyQ3(LibUtilities::eModified_A,num_modesZ,PkeyQ3);
+ MultiRegions::ExpList3DSharedPtr targetExp;
+ targetExp = MemoryManager<MultiRegions::ExpList3D>::AllocateSharedPtr(vSession,BkeyT1,BkeyT2,BkeyT3,BkeyQ1,BkeyQ2,BkeyQ3,mesh);
+ int TotMeshPoints = targetExp->GetTotPoints();
+ int modesX = targetExp->GetExp(0)->GetBasis(0)->GetNumModes();
+ int modesY = targetExp->GetExp(0)->GetBasis(1)->GetNumModes();
+ int modesZ = targetExp->GetExp(0)->GetBasis(2)->GetNumModes();
+ cout<<" TOT PTS "<<TotMeshPoints<<" MODES "<<modesX<<"\t"<<modesY<<"\t"<<modesZ<<endl;
+ return 0;
+
+}
--
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