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///////////////////////////////////////////////////////////////////////////////
//
// File: Helmholtz3DHomo1D.cpp
//
// For more information, please see: http://www.nektar.info
//
// The MIT License
//
// Copyright (c) 2006 Division of Applied Mathematics, Brown University (USA),
// Department of Aeronautics, Imperial College London (UK), and Scientific
// Computing and Imaging Institute, University of Utah (USA).
//
// Permission is hereby granted, free of charge, to any person obtaining a
// copy of this software and associated documentation files (the "Software"),
// to deal in the Software without restriction, including without limitation
// the rights to use, copy, modify, merge, publish, distribute, sublicense,
// and/or sell copies of the Software, and to permit persons to whom the
// Software is furnished to do so, subject to the following conditions:
//
// The above copyright notice and this permission notice shall be included
// in all copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
// THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
// DEALINGS IN THE SOFTWARE.
//
// Description:
//
///////////////////////////////////////////////////////////////////////////////
#include <LibUtilities/BasicUtils/SessionReader.h>
#include <LibUtilities/Communication/Comm.h>
#include <LibUtilities/Memory/NekMemoryManager.hpp>
#include <MultiRegions/ContField3DHomogeneous1D.h>
#include <SpatialDomains/MeshGraphIO.h>
int NoCaseStringCompare(const string &s1, const string &s2);
LibUtilities::SessionReaderSharedPtr vSession =
LibUtilities::SessionReader::CreateInstance(argc, argv);
LibUtilities::CommSharedPtr vComm = vSession->GetComm();
string meshfile(argv[1]);
MultiRegions::ContField3DHomogeneous1DSharedPtr Exp, Fce;
int i, nq;
Array<OneD, NekDouble> fce;
Array<OneD, NekDouble> xc0, xc1, xc2;
StdRegions::ConstFactorMap factors;
FlagList flags;
fprintf(stderr, "Usage: Helmholtz3DHomo1D meshfile [SysSolnType] \n");
LibUtilities::FieldIOSharedPtr fld =
LibUtilities::FieldIO::CreateDefault(vSession);
//----------------------------------------------
// Read in mesh from input file
SpatialDomains::MeshGraphSharedPtr graph2D =
SpatialDomains::MeshGraphIO::Read(vSession);
//----------------------------------------------
// Define Expansion
int nplanes = vSession->GetParameter("HomModesZ");
NekDouble lz = vSession->GetParameter("LZ");
bool useFFT = false;
bool deal = false;
const LibUtilities::PointsKey Pkey(nplanes,
LibUtilities::eFourierEvenlySpaced);
const LibUtilities::BasisKey Bkey(LibUtilities::eFourier, nplanes, Pkey);
Exp = MemoryManager<MultiRegions::ContField3DHomogeneous1D>::
AllocateSharedPtr(vSession, Bkey, lz, useFFT, deal, graph2D,
vSession->GetVariable(0));
//----------------------------------------------
//----------------------------------------------
// Print summary of solution details
factors[StdRegions::eFactorLambda] = vSession->GetParameter("Lambda");
const SpatialDomains::ExpansionInfoMap &expansions =
graph2D->GetExpansionInfo();
LibUtilities::BasisKey bkey0 =
expansions.begin()->second->m_basisKeyVector[0];
cout << "Solving 3D Helmholtz (Homogeneous in z-direction):" << endl;
cout << " Lambda : " << factors[StdRegions::eFactorLambda]
<< endl;
cout << " Lz : " << lz << endl;
cout << " No. modes : " << bkey0.GetNumModes() << endl;
cout << " No. hom. modes : " << Bkey.GetNumModes() << endl;
cout << endl;
//----------------------------------------------
//----------------------------------------------
// Set up coordinates of mesh for Forcing function evaluation
xc0 = Array<OneD, NekDouble>(nq, 0.0);
xc1 = Array<OneD, NekDouble>(nq, 0.0);
xc2 = Array<OneD, NekDouble>(nq, 0.0);
//----------------------------------------------
//----------------------------------------------
// Define forcing function for first variable defined in file
LibUtilities::EquationSharedPtr ffunc = vSession->GetFunction("Forcing", 0);
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//----------------------------------------------
//----------------------------------------------
// Setup expansion containing the forcing function
Fce = MemoryManager<
MultiRegions::ContField3DHomogeneous1D>::AllocateSharedPtr(*Exp);
Fce->SetPhys(fce);
//----------------------------------------------
//----------------------------------------------
// Helmholtz solution taking physical forcing
Exp->HelmSolve(Fce->GetPhys(), Exp->UpdateCoeffs(), factors);
//----------------------------------------------
//----------------------------------------------
// Backward Transform Solution to get solved values at
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Exp->BwdTrans(Exp->GetCoeffs(), Exp->UpdatePhys());
//----------------------------------------------
// See if there is an exact solution, if so
// evaluate and plot errors
LibUtilities::EquationSharedPtr ex_sol =
vSession->GetFunction("ExactSolution", 0);
{
//----------------------------------------------
// evaluate exact solution
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//----------------------------------------------
//--------------------------------------------
// Calculate L_inf error
Fce->SetPhys(fce);
Fce->SetPhysState(true);
cout << "L infinity error: "
<< Exp->Linf(Exp->GetPhys(), Fce->GetPhys()) << endl;
cout << "L 2 error: " << Exp->L2(Exp->GetPhys(), Fce->GetPhys())
<< endl;
//--------------------------------------------
}
//----------------------------------------------
//-----------------------------------------------
// Write solution to file
string out(strtok(argv[1], "."));
string endfile(".fld");
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std::vector<LibUtilities::FieldDefinitionsSharedPtr> FieldDef;
Exp->GetFieldDefinitions(FieldDef);
std::vector<std::vector<NekDouble>> FieldData(FieldDef.size());
Exp->GlobalToLocal();
for (i = 0; i < FieldDef.size(); ++i)
FieldDef[i]->m_fields.push_back("u");
/**
* Performs a case-insensitive string comparison (from web).
* @param s1 First string to compare.
* @param s2 Second string to compare.
* @returns 0 if the strings match.
*/
int NoCaseStringCompare(const string &s1, const string &s2)
{
string::const_iterator it1 = s1.begin();
string::const_iterator it2 = s2.begin();
// stop when either string's end has been reached
while ((it1 != s1.end()) && (it2 != s2.end()))
{
if (::toupper(*it1) != ::toupper(*it2)) // letters differ?
{
// return -1 to indicate smaller than, 1 otherwise
return (::toupper(*it1) < ::toupper(*it2)) ? -1 : 1;
}
// proceed to the next character in each string
++it1;
++it2;
}
size_t size1 = s1.size();
size_t size2 = s2.size(); // cache lengths
// return -1,0 or 1 according to strings' lengths
if (size1 == size2)
{
return 0;
}
return (size1 < size2) ? -1 : 1;
}