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///////////////////////////////////////////////////////////////////////////////
//
// File: HDGHelmholtz3DHomo1D.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 <SpatialDomains/MeshGraphIO.h>
#define Timing(s) \
fprintf(stdout, "%s Took %g seconds\n", s, \
(clock() - st) / (double)CLOCKS_PER_SEC); \
st = clock();
LibUtilities::SessionReaderSharedPtr vSession =
LibUtilities::SessionReader::CreateInstance(argc, argv);
LibUtilities::CommSharedPtr vComm = vSession->GetComm();
string meshfile(argv[1]);
MultiRegions::DisContField3DHomogeneous1DSharedPtr Exp, Fce;
MultiRegions::ExpListSharedPtr DerExp1, DerExp2, DerExp3;
Array<OneD, NekDouble> fce;
Array<OneD, NekDouble> xc0, xc1, xc2;
StdRegions::ConstFactorMap factors;
fprintf(stderr, "Usage: Helmholtz2D meshfile\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");
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);
AllocateSharedPtr(vSession, Bkey, lz, useFFT, deal, graph2D,
vSession->GetVariable(0));
//----------------------------------------------
Timing("Read files and define exp ..");
//----------------------------------------------
// Print summary of solution details
factors[StdRegions::eFactorLambda] = vSession->GetParameter("Lambda");
factors[StdRegions::eFactorTau] = 1.0;
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
fce = Array<OneD, NekDouble>(nq);
LibUtilities::EquationSharedPtr ffunc = vSession->GetFunction("Forcing", 0);
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//----------------------------------------------
//----------------------------------------------
// Setup expansion containing the forcing function
Fce = MemoryManager<
MultiRegions::DisContField3DHomogeneous1D>::AllocateSharedPtr(*Exp);
Fce->SetPhys(fce);
//----------------------------------------------
Timing("Define forcing ..");
//----------------------------------------------
// Helmholtz solution taking physical forcing
Exp->HelmSolve(Fce->GetPhys(), Exp->UpdateCoeffs(), factors);
//----------------------------------------------
Timing("Helmholtz Solve ..");
#ifdef TIMING
Exp->HelmSolve(Fce->GetPhys(), Exp->UpdateCoeffs(), NullFlagList,
factors);
}
Timing("100 Helmholtz Solves:... ");
#endif
//-----------------------------------------------
// Backward Transform Solution to get solved values at
Exp->BwdTrans(Exp->GetCoeffs(), Exp->UpdatePhys());
//-----------------------------------------------
Timing("Backard Transform ..");
//-----------------------------------------------
// Write solution to file
string out = meshfile.substr(0, meshfile.find_last_of(".")) + ".fld";
std::vector<LibUtilities::FieldDefinitionsSharedPtr> FieldDef =
Exp->GetFieldDefinitions();
std::vector<std::vector<NekDouble>> FieldData(FieldDef.size());
for (i = 0; i < FieldDef.size(); ++i)
FieldDef[i]->m_fields.push_back("u");
//-----------------------------------------------
//-----------------------------------------------
// 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 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;