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Jacques Xing
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///////////////////////////////////////////////////////////////////////////////
//
// File: Helmholtz3DHomo2D.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 <cstdio>
#include <cstdlib>
#include <LibUtilities/BasicUtils/SessionReader.h>
#include <LibUtilities/Communication/Comm.h>
#include <LibUtilities/Memory/NekMemoryManager.hpp>
#include <MultiRegions/ContField3DHomogeneous2D.h>
#include <SpatialDomains/MeshGraphIO.h>
using namespace Nektar;
int main(int argc, char *argv[])
{
LibUtilities::SessionReaderSharedPtr vSession =
LibUtilities::SessionReader::CreateInstance(argc, argv);
LibUtilities::CommSharedPtr vComm = vSession->GetComm();
MultiRegions::ContField3DHomogeneous2DSharedPtr Exp, Fce;
int nq;
Array<OneD, NekDouble> fce;
Array<OneD, NekDouble> xc0, xc1, xc2;
StdRegions::ConstFactorMap factors;
FlagList flags;
{
fprintf(stderr, "Usage: Helmholtz3DHomo2D meshfile [SysSolnType] \n");
exit(1);
}
//----------------------------------------------
// Read in mesh from input file
SpatialDomains::MeshGraphSharedPtr graph1D =
SpatialDomains::MeshGraphIO::Read(vSession);
//----------------------------------------------
//----------------------------------------------
// Define Expansion
int nypoints;
int nzpoints;
NekDouble ly;
NekDouble lz;
int FFT;
vSession->LoadParameter("HomModesY", nypoints);
vSession->LoadParameter("HomModesZ", nzpoints);
vSession->LoadParameter("LY", ly);
vSession->LoadParameter("LZ", lz);
vSession->LoadParameter("USEFFT", FFT);
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bool useFFT = false;
bool deal = false;
if (FFT == 1)
{
useFFT = true;
}
const LibUtilities::PointsKey PkeyY(nypoints,
LibUtilities::eFourierEvenlySpaced);
const LibUtilities::BasisKey BkeyY(LibUtilities::eFourier, nypoints, PkeyY);
const LibUtilities::PointsKey PkeyZ(nzpoints,
LibUtilities::eFourierEvenlySpaced);
const LibUtilities::BasisKey BkeyZ(LibUtilities::eFourier, nzpoints, PkeyZ);
Exp = MemoryManager<MultiRegions::ContField3DHomogeneous2D>::
AllocateSharedPtr(vSession, BkeyY, BkeyZ, ly, lz, useFFT, deal, graph1D,
vSession->GetVariable(0));
//----------------------------------------------
//----------------------------------------------
// Print summary of solution details
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factors[StdRegions::eFactorLambda] = vSession->GetParameter("Lambda");
const SpatialDomains::ExpansionInfoMap &expansions =
graph1D->GetExpansionInfo();
LibUtilities::BasisKey bkey0 =
expansions.begin()->second->m_basisKeyVector[0];
cout << "Solving 3D Helmholtz (Homogeneous in yz-plane):" << endl;
cout << " Lambda : " << factors[StdRegions::eFactorLambda]
<< endl;
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cout << " Ly : " << ly << endl;
cout << " Lz : " << lz << endl;
cout << " N.modes : " << bkey0.GetNumModes() << endl;
cout << " N.Y homo modes : " << BkeyY.GetNumModes() << endl;
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cout << " N.Z homo modes : " << BkeyZ.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
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LibUtilities::EquationSharedPtr ffunc = vSession->GetFunction("Forcing", 0);
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//----------------------------------------------
//----------------------------------------------
// Setup expansion containing the forcing function
Fce = MemoryManager<
MultiRegions::ContField3DHomogeneous2D>::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;
//--------------------------------------------
}
//----------------------------------------------