int main(int argc, char *argv[])
{
    LibUtilities::SessionReaderSharedPtr vSession = LibUtilities::SessionReader::CreateInstance(argc, argv);

    LibUtilities::CommSharedPtr vComm = vSession->GetComm();
    
    MultiRegions::ContField3DHomogeneous1DSharedPtr Exp_u, Exp_v, Exp_w;
    
    StdRegions::ConstFactorMap factors;
    FlagList flags;

    if( (argc != 2) && (argc != 3))
    {
        fprintf(stderr,"Usage: Deriv3DHomo2D meshfile [SysSolnType]   \n");
        exit(1);
    }

    //----------------------------------------------
    // Read in mesh from input file
    SpatialDomains::MeshGraphSharedPtr graph2D = MemoryManager<SpatialDomains::MeshGraph2D>::AllocateSharedPtr(vSession);
    //----------------------------------------------

    //----------------------------------------------
    // Define Expansion
    int nzpoints;
    NekDouble lz;
    int FFT;

    vSession->LoadParameter("HomModesZ", nzpoints);
	vSession->LoadParameter("LZ",        lz);
	vSession->LoadParameter("USEFFT",    FFT);
	
	bool useFFT = false;
	bool deal = false;
	if(FFT==1){useFFT = true;}
			
	
	const LibUtilities::PointsKey PkeyZ(nzpoints,LibUtilities::eFourierSingleModeSpaced);
	const LibUtilities::BasisKey  BkeyZ(LibUtilities::eFourierHalfModeRe,nzpoints,PkeyZ);
		
	Exp_u = MemoryManager<MultiRegions::ContField3DHomogeneous1D>::AllocateSharedPtr(vSession,BkeyZ,lz,useFFT,deal,graph2D,vSession->GetVariable(0));
	Exp_v = MemoryManager<MultiRegions::ContField3DHomogeneous1D>::AllocateSharedPtr(vSession,BkeyZ,lz,useFFT,deal,graph2D,vSession->GetVariable(1));
	Exp_w = MemoryManager<MultiRegions::ContField3DHomogeneous1D>::AllocateSharedPtr(vSession,BkeyZ,lz,useFFT,deal,graph2D,vSession->GetVariable(2));
		

    //----------------------------------------------
    // Print summary of solution details
        flags.set(eUseGlobal, false);
		
    const SpatialDomains::ExpansionMap &expansions = graph2D->GetExpansions();
	
    LibUtilities::BasisKey bkey0 = expansions.begin()->second->m_basisKeyVector[0];
    
	cout << "Calculating Derivatives (Homogeneous in z-plane):"  << endl;
	cout << "         Lz              : " << lz << endl;
    cout << "         N.modes         : " << bkey0.GetNumModes() << endl;
	cout << "         N.Z h**o modes  : " << BkeyZ.GetNumModes() << endl;
    cout << endl;
    //----------------------------------------------

    //----------------------------------------------
    // Set up coordinates of mesh for Forcing function evaluation
	int nq  = Exp_u->GetTotPoints();
	
	Array<OneD,NekDouble>  xc0,xc1,xc2;
    
    xc0 = Array<OneD,NekDouble>(nq,0.0);
    xc1 = Array<OneD,NekDouble>(nq,0.0);
    xc2 = Array<OneD,NekDouble>(nq,0.0);

    Exp_u->GetCoords(xc0,xc1,xc2);
    //----------------------------------------------
    Array<OneD,NekDouble>  dudx,dvdy,dwdz;
	Array<OneD,NekDouble>  dump;
	dump = Array<OneD,NekDouble>(nq,0.0);
	dudx = Array<OneD,NekDouble>(nq,0.0);
	dvdy = Array<OneD,NekDouble>(nq,0.0);
	dwdz = Array<OneD,NekDouble>(nq,0.0);
    //----------------------------------------------
    // Define initial fields
    LibUtilities::EquationSharedPtr ffunc_u = vSession->GetFunction("InitialCondition", 0);
	LibUtilities::EquationSharedPtr ffunc_v = vSession->GetFunction("InitialCondition", 1);
	LibUtilities::EquationSharedPtr ffunc_w = vSession->GetFunction("InitialCondition", 2);
	
	LibUtilities::EquationSharedPtr exac_u = vSession->GetFunction("ExactSolution", 0);
	LibUtilities::EquationSharedPtr exac_v = vSession->GetFunction("ExactSolution", 1);
	LibUtilities::EquationSharedPtr exac_w = vSession->GetFunction("ExactSolution", 2);
    	

    ffunc_u->Evaluate(xc0,xc1,xc2,Exp_u->UpdatePhys());
    ffunc_v->Evaluate(xc0,xc1,xc2,Exp_v->UpdatePhys());
    ffunc_w->Evaluate(xc0,xc1,xc2,Exp_w->UpdatePhys());

    exac_u->Evaluate(xc0,xc1,xc2,dudx);
    exac_v->Evaluate(xc0,xc1,xc2,dvdy);
    exac_w->Evaluate(xc0,xc1,xc2,dwdz);

    //----------------------------------------------
	
    //Taking derivative and printing the error
    cout << "Deriv u" << endl;
    Exp_u->PhysDeriv(Exp_u->GetPhys(),Exp_u->UpdatePhys(),dump,dump);
    cout << "Deriv u done" << endl;
    
    
    cout << "L infinity error:  " << Exp_u->Linf(Exp_u->GetPhys(), dudx) << endl;
    cout << "L 2 error  :       " << Exp_u->L2  (Exp_u->GetPhys(), dudx) << endl;	
    
    Exp_v->PhysDeriv(Exp_v->GetPhys(),dump,Exp_v->UpdatePhys(),dump);
    
    cout << "L infinity error:  " << Exp_v->Linf(Exp_v->GetPhys(), dvdy) << endl;
    cout << "L 2 error  :       " << Exp_v->L2  (Exp_v->GetPhys(), dvdy) << endl;
    
    Exp_w->PhysDeriv(Exp_w->GetPhys(),dump,dump,Exp_w->UpdatePhys());
    
    cout << "L infinity error:  " << Exp_w->Linf(Exp_w->GetPhys(), dwdz) << endl;
    cout << "L 2 error  :       " << Exp_w->L2  (Exp_w->GetPhys(), dwdz) << endl;
    
    return 0;
}
Beispiel #2
0
        void Forcing::EvaluateFunction(
                Array<OneD, MultiRegions::ExpListSharedPtr>       pFields,
                LibUtilities::SessionReaderSharedPtr              pSession,
                std::string                                       pFieldName,
                Array<OneD, NekDouble>&                           pArray,
                const std::string&                                pFunctionName,
                NekDouble                                         pTime)
        {
            ASSERTL0(pSession->DefinesFunction(pFunctionName),
                     "Function '" + pFunctionName + "' does not exist.");

            unsigned int nq = pFields[0]->GetNpoints();
            if (pArray.num_elements() != nq)
            {
                pArray = Array<OneD, NekDouble> (nq);
            }

            LibUtilities::FunctionType vType;
            vType = pSession->GetFunctionType(pFunctionName, pFieldName);
            if (vType == LibUtilities::eFunctionTypeExpression)
            {
                Array<OneD, NekDouble> x0(nq);
                Array<OneD, NekDouble> x1(nq);
                Array<OneD, NekDouble> x2(nq);

                pFields[0]->GetCoords(x0, x1, x2);
                LibUtilities::EquationSharedPtr ffunc =
                        pSession->GetFunction(pFunctionName, pFieldName);

                ffunc->Evaluate(x0, x1, x2, pTime, pArray);
            }
            else if (vType == LibUtilities::eFunctionTypeFile)
            {
                std::string filename = pSession->GetFunctionFilename(
                                                    pFunctionName,
                                                    pFieldName);

                std::vector<LibUtilities::FieldDefinitionsSharedPtr> FieldDef;
                std::vector<std::vector<NekDouble> > FieldData;
                Array<OneD, NekDouble> vCoeffs(pFields[0]->GetNcoeffs());
                Vmath::Zero(vCoeffs.num_elements(), vCoeffs, 1);

                LibUtilities::FieldIOSharedPtr fld =
                    MemoryManager<LibUtilities::FieldIO>::AllocateSharedPtr(m_session->GetComm());
                fld->Import(filename, FieldDef, FieldData);

                int idx = -1;
                for (int i = 0; i < FieldDef.size(); ++i)
                {
                    for (int j = 0; j < FieldDef[i]->m_fields.size(); ++j)
                    {
                        if (FieldDef[i]->m_fields[j] == pFieldName)
                        {
                            idx = j;
                        }
                    }

                    if (idx >= 0)
                    {
                        pFields[0]->ExtractDataToCoeffs(
                                                    FieldDef[i],
                                                    FieldData[i],
                                                    FieldDef[i]->m_fields[idx],
                                                    vCoeffs);
                    }
                    else
                    {
                        cout << "Field " + pFieldName + " not found." << endl;
                    }
                }
                pFields[0]->BwdTrans_IterPerExp(vCoeffs, pArray);
            }
        }
int main(int argc, char *argv[])
{
    LibUtilities::SessionReaderSharedPtr vSession
            = LibUtilities::SessionReader::CreateInstance(argc, argv);

    MultiRegions::ContField2DSharedPtr Exp,Fce;
    int     nq,  coordim;
    Array<OneD,NekDouble>  fce; 
    Array<OneD,NekDouble>  xc0,xc1,xc2; 
    NekDouble  lambda;
    NekDouble  ax,ay;

    if((argc != 2)&&(argc != 3))
    {
        fprintf(stderr,"Usage: SteadyLinearAdvectionReaction2D  meshfile [SysSolnType]\n");
        exit(1);
    }

    //----------------------------------------------
    // Read in mesh from input file
    SpatialDomains::MeshGraphSharedPtr graph2D = MemoryManager<SpatialDomains::MeshGraph2D>::AllocateSharedPtr(vSession);
    //----------------------------------------------

    //----------------------------------------------
    // Get Advection Velocity
    ax = vSession->GetParameter("Advection_x");
    ay = vSession->GetParameter("Advection_y");
    //----------------------------------------------

    //----------------------------------------------
    // Print summary of solution details
    lambda = vSession->GetParameter("Lambda");
    cout << "            Lambda         : " << lambda << endl;
    const SpatialDomains::ExpansionMap &expansions = graph2D->GetExpansions();
    LibUtilities::BasisKey bkey0
                            = expansions.begin()->second->m_basisKeyVector[0];
    LibUtilities::BasisKey bkey1
                            = expansions.begin()->second->m_basisKeyVector[1];
    cout << "Solving Steady 2D LinearAdvection :"  << endl; 
    cout << "            Advection_x    : " << ax << endl; 
    cout << "            Advection_y    : " << ay << endl; 
    cout << "            Expansion      : (" << LibUtilities::BasisTypeMap[bkey0.GetBasisType()] <<","<< LibUtilities::BasisTypeMap[bkey1.GetBasisType()]  << ")" << endl;
    cout << "            No. modes      : " << bkey0.GetNumModes() << endl;
    cout << endl;
    //----------------------------------------------
   
    //----------------------------------------------
    // Define Expansion 
    Exp = MemoryManager<MultiRegions::ContField2D>::
        AllocateSharedPtr(vSession,graph2D,vSession->GetVariable(0));
    //----------------------------------------------

    Timing("Read files and define exp ..");
    
    //----------------------------------------------
    // Set up coordinates of mesh for Forcing function evaluation
    coordim = Exp->GetCoordim(0);
    nq      = Exp->GetTotPoints();
    
    xc0 = Array<OneD,NekDouble>(nq,0.0);
    xc1 = Array<OneD,NekDouble>(nq,0.0);
    xc2 = Array<OneD,NekDouble>(nq,0.0);
    
    switch(coordim)
    {
    case 1:
        Exp->GetCoords(xc0);
        break;
    case 2:
        Exp->GetCoords(xc0,xc1);
        break;
    case 3:
        Exp->GetCoords(xc0,xc1,xc2);
        break;
    }

    Array<OneD, Array< OneD, NekDouble> > Vel(2);
    Vel[0] = Array<OneD, NekDouble> (nq,ax);
    Vel[1] = Array<OneD, NekDouble> (nq,ay);
    //----------------------------------------------
    
    //----------------------------------------------
    // Define forcing function for first variable defined in file 
    fce = Array<OneD,NekDouble>(nq);
    LibUtilities::EquationSharedPtr ffunc = vSession->GetFunction("Forcing",0);

    ffunc->Evaluate(xc0,xc1,xc2,fce);
    //----------------------------------------------

    //----------------------------------------------
    // Setup expansion containing the  forcing function
    Fce = MemoryManager<MultiRegions::ContField2D>::AllocateSharedPtr(*Exp);
    Fce->SetPhys(fce);
    //----------------------------------------------
    Timing("Define forcing ..");
  
    //----------------------------------------------
    // Helmholtz solution taking physical forcing 
    Exp->LinearAdvectionReactionSolve(Vel, Fce->GetPhys(), Exp->UpdateCoeffs(), lambda, MultiRegions::eGlobal);
    //----------------------------------------------
    Timing("Linear Advection Solve ..");
    
    //----------------------------------------------
    // Backward Transform Solution to get solved values 
    Exp->BwdTrans(Exp->GetCoeffs(), Exp->UpdatePhys(), MultiRegions::eGlobal);
    //----------------------------------------------
    
    //----------------------------------------------
    // See if there is an exact solution, if so 
    // evaluate and plot errors
    LibUtilities::EquationSharedPtr ex_sol = vSession->GetFunction("ExactSolution",0);

    if(ex_sol)
    {
        //----------------------------------------------
        // evaluate exact solution 
        ex_sol->Evaluate(xc0,xc1,xc2,fce);
        //----------------------------------------------

        //--------------------------------------------
        // Calculate L_inf error 
        Fce->SetPhys(fce);
        Fce->SetPhysState(true);


        cout << "L infinity error: " << Exp->Linf(Fce->GetPhys()) << endl;
        cout << "L 2 error:        " << Exp->L2  (Fce->GetPhys()) << endl;
        //--------------------------------------------        
    }
    //----------------------------------------------        

    vSession->Finalise();

    return 0;
}
Beispiel #4
0
int main(int argc, char *argv[])
{
    SpatialDomains::PointGeomSharedPtr          vPoint;
    MultiRegions::ExpListSharedPtr              vExp;
    LibUtilities::SessionReaderSharedPtr        vSession;
    std::string                                 vCellModel;
    CellModelSharedPtr                          vCell;
    std::vector<StimulusSharedPtr>              vStimulus;
    Array<OneD, Array<OneD, NekDouble> >        vWsp(1);
    Array<OneD, Array<OneD, NekDouble> >        vSol(1);
    NekDouble                                   vDeltaT;
    NekDouble                                   vTime;
    unsigned int                                nSteps;

    // Create a session reader to read pacing parameters
    vSession = LibUtilities::SessionReader::CreateInstance(argc, argv);

    try
    {
        // Construct a field consisting of a single vertex
        vPoint = MemoryManager<SpatialDomains::PointGeom>
                        ::AllocateSharedPtr(3, 0, 0.0, 0.0, 0.0);
        vExp = MemoryManager<MultiRegions::ExpList0D>
                        ::AllocateSharedPtr(vPoint);

        // Get cell model name and create it
        vSession->LoadSolverInfo("CELLMODEL", vCellModel, "");
        ASSERTL0(vCellModel != "", "Cell Model not specified.");

        vCell = GetCellModelFactory().CreateInstance(
                                            vCellModel, vSession, vExp);
        vCell->Initialise();

        // Load the stimuli
        vStimulus = Stimulus::LoadStimuli(vSession, vExp);

        // Set up solution arrays, workspace and read in parameters
        vSol[0] = Array<OneD, NekDouble>(1, 0.0);
        vWsp[0] = Array<OneD, NekDouble>(1, 0.0);
        vDeltaT = vSession->GetParameter("TimeStep");
        vTime   = 0.0;
        nSteps  = vSession->GetParameter("NumSteps");

        LibUtilities::EquationSharedPtr e =
                            vSession->GetFunction("InitialConditions", "u");
        vSol[0][0] = e->Evaluate(0.0, 0.0, 0.0, 0.0);

        // Time integrate cell model
        for (unsigned int i = 0; i < nSteps; ++i)
        {
            // Compute J_ion
            vCell->TimeIntegrate(vSol, vWsp, vTime);

            // Add stimuli J_stim
            for (unsigned int i = 0; i < vStimulus.size(); ++i)
            {
                vStimulus[i]->Update(vWsp, vTime);
            }

            // Time-step with forward Euler
            Vmath::Svtvp(1, vDeltaT, vWsp[0], 1, vSol[0], 1, vSol[0], 1);

            // Increment time
            vTime += vDeltaT;

            // Output current solution to stdout
            cout << vTime << "   " << vSol[0][0] << endl;
        }

        for (unsigned int i = 0; i < vCell->GetNumCellVariables(); ++i)
        {
            cout << "# " << vCell->GetCellVarName(i) << "  "
                 << vCell->GetCellSolution(i)[0] << endl;
        }
    }
    catch (...)
    {
        cerr << "An error occured" << endl;
    }

    return 0;
}
Beispiel #5
0
int main(int argc, char *argv[])
{
    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;
    int i, nq;
    Array<OneD,NekDouble>  fce;
    Array<OneD,NekDouble>  xc0,xc1,xc2;
    StdRegions::ConstFactorMap factors;
    NekDouble lz;

    if(argc != 2)
    {
        fprintf(stderr,"Usage: Helmholtz2D  meshfile\n");
        exit(1);
    }

    LibUtilities::FieldIOSharedPtr fld = MemoryManager<LibUtilities::FieldIO>::AllocateSharedPtr(vComm);

    //----------------------------------------------
    // Read in mesh from input file
    SpatialDomains::MeshGraphSharedPtr graph2D = MemoryManager<SpatialDomains::MeshGraph2D>::AllocateSharedPtr(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);
    Exp = MemoryManager<MultiRegions::DisContField3DHomogeneous1D>::
          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::ExpansionMap &expansions = graph2D->GetExpansions();
    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
    nq  = Exp->GetTotPoints();
    xc0 = Array<OneD,NekDouble>(nq,0.0);
    xc1 = Array<OneD,NekDouble>(nq,0.0);
    xc2 = Array<OneD,NekDouble>(nq,0.0);

    Exp->GetCoords(xc0,xc1,xc2);
    //----------------------------------------------

    //----------------------------------------------
    // Define forcing function for first variable defined in file
    fce = Array<OneD,NekDouble>(nq);
    LibUtilities::EquationSharedPtr ffunc
        = vSession->GetFunction("Forcing", 0);

    ffunc->Evaluate(xc0, xc1, xc2, fce);

    //----------------------------------------------


    //----------------------------------------------
    // 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(), NullFlagList, factors);
    //----------------------------------------------

    Timing("Helmholtz Solve ..");

#ifdef TIMING
    for(i = 0; i < 100; ++i)
    {
        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");
        Exp->AppendFieldData(FieldDef[i], FieldData[i]);
    }
    fld->Write(out, FieldDef, FieldData);

    //-----------------------------------------------

    //-----------------------------------------------
    // See if there is an exact solution, if so
    // evaluate and plot errors
    LibUtilities::EquationSharedPtr ex_sol =
        vSession->GetFunction("ExactSolution", 0);

    if(ex_sol)
    {
        //----------------------------------------------
        // evaluate exact solution

        ex_sol->Evaluate(xc0, xc1, xc2, fce);

        //----------------------------------------------

        //--------------------------------------------
        // 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;
        //--------------------------------------------
    }

    Timing("Output ..");
    //----------------------------------------------
    return 0;
}
Beispiel #6
0
int main(int argc, char *argv[])
{
    LibUtilities::SessionReaderSharedPtr vSession
            = LibUtilities::SessionReader::CreateInstance(argc, argv);

    LibUtilities::CommSharedPtr vComm = vSession->GetComm();

    MultiRegions::DisContField3DSharedPtr Exp,Fce;
    int     i, nq, coordim;
    Array<OneD,NekDouble>  fce;
    Array<OneD,NekDouble>  xc0,xc1,xc2;
    StdRegions::ConstFactorMap factors;

    if(argc < 2)
    {
        fprintf(stderr,"Usage: PostProcHDG3D  meshfile [solntype]\n");
        exit(1);
    }

    //----------------------------------------------
    // Read in mesh from input file
    SpatialDomains::MeshGraphSharedPtr graph3D = MemoryManager<SpatialDomains::MeshGraph3D>::AllocateSharedPtr(vSession);
    //----------------------------------------------

    //----------------------------------------------
    // Print summary of solution details
    factors[StdRegions::eFactorLambda] = vSession->GetParameter("Lambda");
    factors[StdRegions::eFactorTau] = 1.0;
    const SpatialDomains::ExpansionMap &expansions = graph3D->GetExpansions();
    LibUtilities::BasisKey bkey0
                            = expansions.begin()->second->m_basisKeyVector[0];

	//MAY NEED ADJUSTMENT FOR VARIOUS ELEMENT TYPES
	int num_modes = bkey0.GetNumModes();
	int num_points = bkey0.GetNumPoints();

    if (vComm->GetRank() == 0)
    {
        cout << "Solving 3D Helmholtz:"  << endl;
        cout << "         Lambda     : " << factors[StdRegions::eFactorLambda] << endl;
        cout << "         No. modes  : " << num_modes << endl;
        cout << "         No. points : " << num_points << endl;
        cout << endl;
    }

    //----------------------------------------------
    // Define Expansion
    //----------------------------------------------
    Exp = MemoryManager<MultiRegions::DisContField3D>::
        AllocateSharedPtr(vSession,graph3D,vSession->GetVariable(0));
    //----------------------------------------------
    Timing("Read files and define exp ..");

    //----------------------------------------------
    // Set up coordinates of mesh for Forcing function evaluation
    coordim = Exp->GetCoordim(0);
    nq      = Exp->GetTotPoints();

    xc0 = Array<OneD,NekDouble>(nq,0.0);
    xc1 = Array<OneD,NekDouble>(nq,0.0);
    xc2 = Array<OneD,NekDouble>(nq,0.0);

    switch(coordim)
    {
    case 1:
        Exp->GetCoords(xc0);
        break;
    case 2:
        Exp->GetCoords(xc0,xc1);
        break;
    case 3:
        Exp->GetCoords(xc0,xc1,xc2);
        break;
    }
    //----------------------------------------------

    //----------------------------------------------
    // Define forcing function for first variable defined in file
    fce = Array<OneD,NekDouble>(nq);
    LibUtilities::EquationSharedPtr ffunc
                                    = vSession->GetFunction("Forcing", 0);

    ffunc->Evaluate(xc0, xc1, xc2, fce);

    //----------------------------------------------


    //----------------------------------------------
    // Setup expansion containing the  forcing function
    Fce = MemoryManager<MultiRegions::DisContField3D>::AllocateSharedPtr(*Exp);
    Fce->SetPhys(fce);
    //----------------------------------------------
    Timing("Define forcing ..");

    //----------------------------------------------
    // Helmholtz solution taking physical forcing
    Exp->HelmSolve(Fce->GetPhys(), Exp->UpdateCoeffs(), NullFlagList, factors);
    //----------------------------------------------

    Timing("Helmholtz Solve ..");

    //-----------------------------------------------
    // Backward Transform Solution to get solved values at
    Exp->BwdTrans(Exp->GetCoeffs(), Exp->UpdatePhys());
    //-----------------------------------------------
    Timing("Backward Transform ..");

    //-----------------------------------------------
    // Write solution to file
    //string out = vSession->GetSessionName() + ".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");
    //    Exp->AppendFieldData(FieldDef[i], FieldData[i]);
    //}
    //LibUtilities::Write(out, FieldDef, FieldData);
    //--------------------------------------------        
    //-----------------------------------------------
    // See if there is an exact solution, if so
    // evaluate and plot errors
    LibUtilities::EquationSharedPtr ex_sol =
        vSession->GetFunction("ExactSolution", 0);

	//----------------------------------------------
	// evaluate exact solution
	ex_sol->Evaluate(xc0, xc1, xc2, fce);

	//----------------------------------------------

	//Tetrahedron
	const LibUtilities::PointsKey PkeyT1(num_points+1,LibUtilities::eGaussLobattoLegendre);
	const LibUtilities::PointsKey PkeyT2(num_points,LibUtilities::eGaussRadauMAlpha1Beta0);//need to doublecheck this one
	const LibUtilities::PointsKey PkeyT3(num_points,LibUtilities::eGaussRadauMAlpha2Beta0);//need to doublecheck this one
	LibUtilities::BasisKeyVector  BkeyT;
	BkeyT.push_back(LibUtilities::BasisKey(LibUtilities::eModified_A, num_modes+1, PkeyT1));
	BkeyT.push_back(LibUtilities::BasisKey(LibUtilities::eModified_B, num_modes+1, PkeyT2));
	BkeyT.push_back(LibUtilities::BasisKey(LibUtilities::eModified_C, num_modes+1, PkeyT3));
	//Prism
	const LibUtilities::PointsKey PkeyP1(num_points+1,LibUtilities::eGaussLobattoLegendre);
	const LibUtilities::PointsKey PkeyP2(num_points+1,LibUtilities::eGaussLobattoLegendre);
	const LibUtilities::PointsKey PkeyP3(num_points,LibUtilities::eGaussRadauMAlpha1Beta0);//need to doublecheck this one
	LibUtilities::BasisKeyVector  BkeyP;
	BkeyP.push_back(LibUtilities::BasisKey(LibUtilities::eModified_A, num_modes+1, PkeyP1));
	BkeyP.push_back(LibUtilities::BasisKey(LibUtilities::eModified_A, num_modes+1, PkeyP2));
	BkeyP.push_back(LibUtilities::BasisKey(LibUtilities::eModified_B, num_modes+1, PkeyP3));
	//Hexahedron
	const LibUtilities::PointsKey PkeyH(num_points+1,LibUtilities::eGaussLobattoLegendre);
	LibUtilities::BasisKeyVector  BkeyH;
	BkeyH.push_back(LibUtilities::BasisKey(LibUtilities::eModified_A, num_modes+1, PkeyH));
	BkeyH.push_back(LibUtilities::BasisKey(LibUtilities::eModified_A, num_modes+1, PkeyH));
	BkeyH.push_back(LibUtilities::BasisKey(LibUtilities::eModified_A, num_modes+1, PkeyH));


	graph3D->SetBasisKey(LibUtilities::eTetrahedron, BkeyT);
	graph3D->SetBasisKey(LibUtilities::ePrism, BkeyP);
	graph3D->SetBasisKey(LibUtilities::eHexahedron, BkeyH);

	MultiRegions::DisContField3DSharedPtr PostProc = 
		MemoryManager<MultiRegions::DisContField3D>::AllocateSharedPtr(vSession,graph3D,vSession->GetVariable(0));

	int ErrorCoordim = PostProc->GetCoordim(0);
	int ErrorNq      = PostProc->GetTotPoints();

	Array<OneD,NekDouble> ErrorXc0(ErrorNq,0.0);
	Array<OneD,NekDouble> ErrorXc1(ErrorNq,0.0);
	Array<OneD,NekDouble> ErrorXc2(ErrorNq,0.0);

	switch(ErrorCoordim)
	{
		case 1:
			PostProc->GetCoords(ErrorXc0);
			break;
		case 2:
			PostProc->GetCoords(ErrorXc0,ErrorXc1);
			break;
		case 3:
			PostProc->GetCoords(ErrorXc0,ErrorXc1,ErrorXc2);
			break;
	}
        
        
	// evaluate exact solution 
	Array<OneD,NekDouble> ppSol(ErrorNq);
	ex_sol->Evaluate(ErrorXc0,ErrorXc1,ErrorXc2,ppSol);

	// calcualte spectral/hp approximation on the quad points of this new
	// expansion basis
	std::vector<LibUtilities::FieldDefinitionsSharedPtr> FieldDef 
		= Exp->GetFieldDefinitions();
	std::vector<std::vector<NekDouble> > FieldData(FieldDef.size());
	std::string fieldstr = "u";

	for(i = 0; i < FieldDef.size(); ++i)
	{
		FieldDef[i]->m_fields.push_back(fieldstr);
		Exp->AppendFieldData(FieldDef[i], FieldData[i]);
		PostProc->ExtractDataToCoeffs(FieldDef[i],FieldData[i],fieldstr,PostProc->UpdateCoeffs());
	}

	// Interpolation of trace 
	std::vector<LibUtilities::FieldDefinitionsSharedPtr> TraceDef 
		= Exp->GetTrace()->GetFieldDefinitions();
	std::vector<std::vector<NekDouble> > TraceData(TraceDef.size());
	for(i = 0; i < TraceDef.size(); ++i)
	{
		TraceDef[i]->m_fields.push_back(fieldstr);
		Exp->GetTrace()->AppendFieldData(TraceDef[i], TraceData[i]);
		PostProc->GetTrace()->ExtractDataToCoeffs(TraceDef[i],TraceData[i],fieldstr,PostProc->GetTrace()->UpdateCoeffs());
	}
        
	PostProc->BwdTrans_IterPerExp(PostProc->GetCoeffs(),PostProc->UpdatePhys());

	PostProc->EvaluateHDGPostProcessing(PostProc->UpdateCoeffs());
	PostProc->BwdTrans_IterPerExp(PostProc->GetCoeffs(),PostProc->UpdatePhys());
	
	NekDouble vLinfError = Exp->Linf(Exp->GetPhys(), fce);
	NekDouble vL2Error   = Exp->L2  (Exp->GetPhys(), fce);
	NekDouble L2ErrorPostProc = PostProc->L2(PostProc->GetPhys(), ppSol);
	NekDouble LinfErrorPostProc = PostProc->Linf(PostProc->GetPhys(), ppSol); 

	if (vSession->GetComm()->GetRank() == 0)
	{
		cout << "L infinity error : " << vLinfError << endl;
		cout << "L 2 error        : " << vL2Error   << endl;
		cout << "Postprocessed L infinity error : " << LinfErrorPostProc << endl;
		cout << "Postprocessed L 2 error        : " << L2ErrorPostProc   << endl;
	}

	vSession->Finalise();
    
    return 0;
}
int main(int argc, char *argv[])
{
    MultiRegions::ContField3DSharedPtr Exp,Fce,Sol;
    int     i, nq,  coordim;
    Array<OneD,NekDouble>  fce,sol;
    Array<OneD,NekDouble>  xc0,xc1,xc2;
    NekDouble  lambda;
    vector<string> vFilenames;

    if(argc != 6)
    {
        fprintf(stderr,"Usage: TimingCGHelmSolve3D Type MeshSize NumModes OptimisationLevel OperatorToTest\n");
        fprintf(stderr,"    where: - Type is one of the following:\n");
        fprintf(stderr,"                  1: Regular  Hexahedrons \n");
        fprintf(stderr,"                  2: Deformed Hexahedrons (may not be supported) \n");
        fprintf(stderr,"                  3: Regular  Tetrahedrons \n");
        fprintf(stderr,"    where: - MeshSize is 1/h \n");
        fprintf(stderr,"    where: - NumModes is the number of 1D modes of the expansion \n");
        fprintf(stderr,"    where: - OptimisationLevel is one of the following:\n");
        fprintf(stderr,"                  0: Use elemental sum-factorisation evaluation \n");
        fprintf(stderr,"                  2: Use elemental matrix evaluation using blockmatrices \n");
        fprintf(stderr,"                  3: Use global matrix evaluation \n");
        fprintf(stderr,"                  4: Use optimal evaluation (this option requires optimisation-files being set-up) \n");
        fprintf(stderr,"    where: - OperatorToTest is one of the following:\n");
        fprintf(stderr,"                  0: BwdTrans \n");
        fprintf(stderr,"                  1: Inner Product \n");
        fprintf(stderr,"                  2: Mass Matrix \n");
        exit(1);
    }

    boost::filesystem::path basePath(BASE_PATH);

     int Type        = atoi(argv[1]);
     int MeshSize    = atoi(argv[2]);
     int NumModes    = atoi(argv[3]);
     int optLevel    = atoi(argv[4]);
     int opToTest    = atoi(argv[5]);

     //----------------------------------------------
     // Retrieve the necessary input files
     stringstream MeshFileName;
     stringstream MeshFileDirectory;
     stringstream BCfileName;
     stringstream ExpansionsFileName;
     stringstream GlobOptFileName;

     switch(Type)
    {
    case 1:
        {
            MeshFileDirectory << "RegularHexMeshes";
            MeshFileName << "UnitCube_RegularHexMesh_h_1_" << MeshSize << ".xml";
        }
        break;
    case 2:
        {
            MeshFileDirectory << "DeformedHexMeshes";
            MeshFileName << "UnitCube_DeformedHexMesh_h_1_" << MeshSize << ".xml";
        }
        break;
    case 3:
        {
            MeshFileDirectory << "RegularTetMeshes";
            MeshFileName << "UnitCube_RegularTetMesh_h_1_" << MeshSize << ".xml";
        }
        break;
    default:
        {
            cerr << "Type should be equal to one of the following values: "<< endl;
            cerr << "  1: Regular Hexahedrons" << endl;
            cerr << "  2: Deformed Hexahedrons" << endl;
            cerr << "  3: Regular Tetrahedrons" << endl;
            exit(1);
        }
    }

    BCfileName << "UnitCube_DirichletBoundaryConditions.xml";
    ExpansionsFileName << "NektarExpansionsNummodes" << NumModes << ".xml";

    switch(optLevel)
    {
    case 0:
        {
            GlobOptFileName << "NoGlobalMat.xml";
        }
        break;
    case 2:
        {
            GlobOptFileName << "DoBlockMat.xml";
        }
        break;
    case 3:
        {
            GlobOptFileName << "DoGlobalMat.xml";
        }
        break;
    case 4:
        {
            ASSERTL0(false,"Optimisation level not set up");
        }
        break;
    default:
        {
            ASSERTL0(false,"Unrecognised optimisation level");
        }
    }


    boost::filesystem::path MeshFilePath = basePath /
        boost::filesystem::path("InputFiles") /
        boost::filesystem::path("Geometry") /
        boost::filesystem::path(MeshFileDirectory.str()) /
        boost::filesystem::path(MeshFileName.str());
    vFilenames.push_back(PortablePath(MeshFilePath));

    boost::filesystem::path BCfilePath = basePath /
        boost::filesystem::path("InputFiles") /
        boost::filesystem::path("Conditions") /
        boost::filesystem::path(BCfileName.str());
    vFilenames.push_back(PortablePath(BCfilePath));

    boost::filesystem::path ExpansionsFilePath = basePath /
        boost::filesystem::path("InputFiles") /
        boost::filesystem::path("Expansions") /
        boost::filesystem::path(ExpansionsFileName.str());
    vFilenames.push_back(PortablePath(ExpansionsFilePath));

    boost::filesystem::path GlobOptFilePath = basePath /
        boost::filesystem::path("InputFiles") /
        boost::filesystem::path("Optimisation") /
        boost::filesystem::path(GlobOptFileName.str());
    vFilenames.push_back(PortablePath(GlobOptFilePath));

    //----------------------------------------------

    StdRegions::MatrixType type;

    switch (opToTest)
    {
        case 0:
            type = StdRegions::eBwdTrans;
            break;
        case 1:
            type = StdRegions::eIProductWRTBase;
            break;
        case 2:
            type = StdRegions::eMass;
            break;
        case 3:
            type = StdRegions::eHelmholtz;
            break;
        default:
            cout << "Operator " << opToTest << " not defined." << endl;
    }

    LibUtilities::SessionReaderSharedPtr vSession
            = LibUtilities::SessionReader::CreateInstance(argc, argv, vFilenames);

    //----------------------------------------------
    // Read in mesh from input file
    SpatialDomains::MeshGraphSharedPtr graph3D = MemoryManager<SpatialDomains::MeshGraph3D>::AllocateSharedPtr(vSession);
    //----------------------------------------------

    //----------------------------------------------
    // Print summary of solution details
    lambda = vSession->GetParameter("Lambda");
    //----------------------------------------------

    //----------------------------------------------
    // Define Expansion
    Exp = MemoryManager<MultiRegions::ContField3D>
                    ::AllocateSharedPtr(vSession, graph3D, vSession->GetVariable(0));
    //----------------------------------------------
    int NumElements = Exp->GetExpSize();

    //----------------------------------------------
    // Set up coordinates of mesh for Forcing function evaluation
    coordim = Exp->GetCoordim(0);
    nq      = Exp->GetTotPoints();

    xc0 = Array<OneD,NekDouble>(nq,0.0);
    xc1 = Array<OneD,NekDouble>(nq,0.0);
    xc2 = Array<OneD,NekDouble>(nq,0.0);

    switch(coordim)
    {
    case 1:
        Exp->GetCoords(xc0);
        break;
    case 2:
        Exp->GetCoords(xc0,xc1);
        break;
    case 3:
        Exp->GetCoords(xc0,xc1,xc2);
        break;
    }
    //----------------------------------------------

    //----------------------------------------------
    // Define forcing function for first variable defined in file
    fce = Array<OneD,NekDouble>(nq);
    LibUtilities::EquationSharedPtr ffunc = vSession->GetFunction("Forcing",0);
    for(i = 0; i < nq; ++i)
    {
        fce[i] = ffunc->Evaluate(xc0[i],xc1[i],xc2[i]);
    }
    //----------------------------------------------

    //----------------------------------------------
    // Setup expansion containing the  forcing function
    Fce = MemoryManager<MultiRegions::ContField3D>::AllocateSharedPtr(*Exp);
    Fce->SetPhys(fce);
    //----------------------------------------------

    //----------------------------------------------
    // See if there is an exact solution, if so
    // evaluate and plot errors
    LibUtilities::EquationSharedPtr ex_sol = vSession->GetFunction("ExactSolution",0);
    //----------------------------------------------
    // evaluate exact solution
    sol = Array<OneD,NekDouble>(nq);
    for(i = 0; i < nq; ++i)
    {
        sol[i] = ex_sol->Evaluate(xc0[i],xc1[i],xc2[i]);
    }
    Sol = MemoryManager<MultiRegions::ContField3D>::AllocateSharedPtr(*Exp);
    Sol->SetPhys(sol);
    Sol->SetPhysState(true);
    //----------------------------------------------

    NekDouble L2Error;
    NekDouble LinfError;
    if (type == StdRegions::eHelmholtz)
    {
        FlagList flags;
        flags.set(eUseGlobal, true);
        StdRegions::ConstFactorMap factors;
        factors[StdRegions::eFactorLambda] = lambda;

        //----------------------------------------------
        // Helmholtz solution taking physical forcing
        Exp->HelmSolve(Fce->GetPhys(), Exp->UpdateCoeffs(),flags,factors);
        // GeneralMatrixOp does not impose boundary conditions.
        //  MultiRegions::GlobalMatrixKey key(type, lambda, Exp->GetLocalToGlobalMap());
        //  Exp->GeneralMatrixOp (key, Fce->GetPhys(),Exp->UpdateContCoeffs(), true);
        //----------------------------------------------

        //----------------------------------------------
        // Backward Transform Solution to get solved values at
        Exp->BwdTrans(Exp->GetCoeffs(), Exp->UpdatePhys(), 
                      MultiRegions::eGlobal);
        //----------------------------------------------
        L2Error    = Exp->L2  (Sol->GetPhys());
        LinfError  = Exp->Linf(Sol->GetPhys());
    }
    else
    {
        Exp->FwdTrans(Sol->GetPhys(), Exp->UpdateCoeffs(),
                      MultiRegions::eGlobal);

        //----------------------------------------------
        // Backward Transform Solution to get solved values at
        Exp->BwdTrans(Exp->GetCoeffs(), Exp->UpdatePhys(),
                      MultiRegions::eGlobal);
        //----------------------------------------------
        L2Error    = Exp->L2  (Sol->GetPhys());
        LinfError  = Exp->Linf(Sol->GetPhys());
    }

    //--------------------------------------------
    // alternative error calculation
/*    const LibUtilities::PointsKey PkeyT1(30,LibUtilities::eGaussLobattoLegendre);
    const LibUtilities::PointsKey PkeyT2(30,LibUtilities::eGaussRadauMAlpha1Beta0);
    const LibUtilities::PointsKey PkeyQ1(30,LibUtilities::eGaussLobattoLegendre);
    const LibUtilities::PointsKey PkeyQ2(30,LibUtilities::eGaussLobattoLegendre);
    const LibUtilities::BasisKey  BkeyT1(LibUtilities::eModified_A,NumModes,PkeyT1);
    const LibUtilities::BasisKey  BkeyT2(LibUtilities::eModified_B,NumModes,PkeyT2);
    const LibUtilities::BasisKey  BkeyQ1(LibUtilities::eModified_A,NumModes,PkeyQ1);
    const LibUtilities::BasisKey  BkeyQ2(LibUtilities::eModified_A,NumModes,PkeyQ2);


    MultiRegions::ExpList3DSharedPtr ErrorExp =
        MemoryManager<MultiRegions::ExpList3D>::AllocateSharedPtr(BkeyT1,BkeyT2,BkeyT3,BkeyQ1,BkeyQ2,BkeyQ3,graph3D);

    int ErrorCoordim = ErrorExp->GetCoordim(0);
    int ErrorNq      = ErrorExp->GetTotPoints();

    Array<OneD,NekDouble> ErrorXc0(ErrorNq,0.0);
    Array<OneD,NekDouble> ErrorXc1(ErrorNq,0.0);
    Array<OneD,NekDouble> ErrorXc2(ErrorNq,0.0);

    switch(ErrorCoordim)
    {
    case 1:
        ErrorExp->GetCoords(ErrorXc0);
        break;
    case 2:
        ErrorExp->GetCoords(ErrorXc0,ErrorXc1);
        break;
    case 3:
        ErrorExp->GetCoords(ErrorXc0,ErrorXc1,ErrorXc2);
        break;
    }


    // evaluate exact solution
    Array<OneD,NekDouble> ErrorSol(ErrorNq);
    for(i = 0; i < ErrorNq; ++i)
    {
        ErrorSol[i] = ex_sol->Evaluate(ErrorXc0[i],ErrorXc1[i],ErrorXc2[i]);
    }

    // calcualte spectral/hp approximation on the quad points of this new
    // expansion basis
    Exp->GlobalToLocal(Exp->GetContCoeffs(),ErrorExp->UpdateCoeffs());
    ErrorExp->BwdTrans_IterPerExp(ErrorExp->GetCoeffs(),ErrorExp->UpdatePhys());

    NekDouble L2ErrorBis    = ErrorExp->L2  (ErrorSol);
    NekDouble LinfErrorBis  = ErrorExp->Linf(ErrorSol);
*/
    //--------------------------------------------
#if 0
    cout << "L infinity error: " << LinfErrorBis << endl;
    cout << "L 2 error:        " << L2ErrorBis   << endl;
#endif
    //----------------------------------------------
    NekDouble exeTime;
    int NumCalls;

    exeTime = TimeMatrixOp(type, Exp, Fce, NumCalls, lambda);

    int nLocCoeffs     = Exp->GetLocalToGlobalMap()->GetNumLocalCoeffs();
    int nGlobCoeffs    = Exp->GetLocalToGlobalMap()->GetNumGlobalCoeffs();
    int nLocBndCoeffs  = Exp->GetLocalToGlobalMap()->GetNumLocalBndCoeffs();
    int nGlobBndCoeffs = Exp->GetLocalToGlobalMap()->GetNumGlobalBndCoeffs();
    int nLocDirCoeffs  = Exp->GetLocalToGlobalMap()->GetNumLocalDirBndCoeffs();
    int nGlobDirCoeffs = Exp->GetLocalToGlobalMap()->GetNumGlobalDirBndCoeffs();
//    MultiRegions::GlobalMatrixKey key(StdRegions::eHelmholtz,lambda,Exp->GetLocalToGlobalMap());
//    int nnz            = Exp->GetGlobalMatrixNnz(key);

    ostream &outfile = cout;
    outfile.precision(0);
    outfile << setw(10) << Type << " ";
    outfile << setw(10) << NumElements << " ";
    outfile << setw(10) << NumModes << " ";
    outfile << setw(10) << NumCalls << " ";
    outfile << setw(10) << fixed << noshowpoint << exeTime << " ";
    outfile << setw(10) << fixed << noshowpoint << ((NekDouble) (exeTime/((NekDouble)NumCalls))) << " ";
    outfile.precision(7);
    outfile << setw(15) << scientific << noshowpoint << L2Error << " ";
    outfile << setw(15) << scientific << noshowpoint << "- "; // << L2ErrorBis << " ";
    outfile << setw(15) << scientific << noshowpoint << LinfError << " ";
    outfile << setw(15) << scientific << noshowpoint << "- ";// << LinfErrorBis << " ";
    outfile << setw(10) << nLocCoeffs  << " ";
    outfile << setw(10) << nGlobCoeffs << " ";
    outfile << setw(10) << nLocBndCoeffs  << " ";
    outfile << setw(10) << nGlobBndCoeffs << " ";
    outfile << setw(10) << nLocDirCoeffs  << " ";
    outfile << setw(10) << nGlobDirCoeffs << " ";
    outfile << setw(10) << "- "; // << nnz << " ";
    outfile << setw(10) << optLevel << " ";
    outfile << endl;
    //----------------------------------------------

    return 0;
}
Beispiel #8
0
int main(int argc, char *argv[])
{
    LibUtilities::SessionReaderSharedPtr vSession
            = LibUtilities::SessionReader::CreateInstance(argc, argv);

    LibUtilities::CommSharedPtr vComm = vSession->GetComm();

    MultiRegions::DisContField3DSharedPtr Exp, Fce;
    int     i, nq,  coordim;
    Array<OneD,NekDouble>  fce; 
    Array<OneD,NekDouble>  xc0,xc1,xc2; 
    StdRegions::ConstFactorMap factors;

    if(argc < 2)
    {
        fprintf(stderr,"Usage: HDGHelmholtz3D  meshfile [solntype]\n");
        exit(1);
    }

    LibUtilities::FieldIOSharedPtr fld = MemoryManager<LibUtilities::FieldIO>::AllocateSharedPtr(vComm);

    //----------------------------------------------
    // Read in mesh from input file
    SpatialDomains::MeshGraphSharedPtr graph3D = 
        MemoryManager<SpatialDomains::MeshGraph3D>::AllocateSharedPtr(vSession);
    //----------------------------------------------

    //----------------------------------------------
    // Print summary of solution details
    factors[StdRegions::eFactorLambda] = vSession->GetParameter("Lambda");
    factors[StdRegions::eFactorTau] = 1.0;
    const SpatialDomains::ExpansionMap &expansions = graph3D->GetExpansions();
    LibUtilities::BasisKey bkey0
                            = expansions.begin()->second->m_basisKeyVector[0];

    if (vComm->GetRank() == 0)
    {
            cout << "Solving 3D Helmholtz:"  << endl;
            cout << "  - Communication: " 
                 << vSession->GetComm()->GetType() << " (" 
                 << vSession->GetComm()->GetSize() 
                 << " processes)" << endl;
            cout << "  - Solver type  : " 
                 << vSession->GetSolverInfo("GlobalSysSoln") << endl;
            cout << "  - Lambda       : " 
                 << factors[StdRegions::eFactorLambda] << endl;
            cout << "  - No. modes    : " 
                 << bkey0.GetNumModes() << endl;
            cout << endl;
    }
    //----------------------------------------------
   
    //----------------------------------------------
    // Define Expansion 
    Exp = MemoryManager<MultiRegions::DisContField3D>::
        AllocateSharedPtr(vSession,graph3D,vSession->GetVariable(0));
    //----------------------------------------------
    Timing("Read files and define exp ..");
    
    //----------------------------------------------
    // Set up coordinates of mesh for Forcing function evaluation
    coordim = Exp->GetCoordim(0);
    nq      = Exp->GetTotPoints();
    
    xc0 = Array<OneD,NekDouble>(nq,0.0);
    xc1 = Array<OneD,NekDouble>(nq,0.0);
    xc2 = Array<OneD,NekDouble>(nq,0.0);
    
    switch(coordim)
    {
    case 1:
        Exp->GetCoords(xc0);
        break;
    case 2:
        Exp->GetCoords(xc0,xc1);
        break;
    case 3:
        Exp->GetCoords(xc0,xc1,xc2);
        break;
    }
    //----------------------------------------------
    
    //----------------------------------------------
    // Define forcing function for first variable defined in file 
    fce = Array<OneD,NekDouble>(nq);
    LibUtilities::EquationSharedPtr ffunc = vSession->GetFunction("Forcing", 0);

    ffunc->Evaluate(xc0, xc1, xc2, fce);

    //----------------------------------------------


    //----------------------------------------------
    // Setup expansion containing the  forcing function
    Fce = MemoryManager<MultiRegions::DisContField3D>::AllocateSharedPtr(*Exp);
    Fce->SetPhys(fce);
    //----------------------------------------------
    Timing("Define forcing ..");
  
    //----------------------------------------------
    // Helmholtz solution taking physical forcing 
    Exp->HelmSolve(Fce->GetPhys(), Exp->UpdateCoeffs(), NullFlagList, factors);
    //----------------------------------------------
    
    Timing("Helmholtz Solve ..");

#if 0
    for(i = 0; i < 100; ++i)
    {
        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("Backward Transform ..");
    
    //-----------------------------------------------
    // Write solution to file
    string out = vSession->GetSessionName() + ".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");
        Exp->AppendFieldData(FieldDef[i], FieldData[i]);
    }
    fld->Write(out, FieldDef, FieldData);
    //-----------------------------------------------
    
    //----------------------------------------------
    // See if there is an exact solution, if so 
    // evaluate and plot errors
    LibUtilities::EquationSharedPtr ex_sol =
        vSession->GetFunction("ExactSolution", 0);
    
    if(ex_sol)
    {
        //----------------------------------------------
        // evaluate exact solution 
        ex_sol->Evaluate(xc0, xc1, xc2,  fce);

        //----------------------------------------------

        //--------------------------------------------
        // Calculate L_inf error 
        Fce->SetPhys(fce);
        Fce->SetPhysState(true);

        NekDouble vLinfError = Exp->Linf(Exp->GetPhys(), Fce->GetPhys());
        NekDouble vL2Error   = Exp->L2  (Exp->GetPhys(), Fce->GetPhys());
        NekDouble vH1Error   = Exp->H1  (Exp->GetPhys(), Fce->GetPhys());

        if (vComm->GetRank() == 0)
        {
            cout << "L infinity error: " << vLinfError << endl;
            cout << "L 2 error       : " << vL2Error   << endl;
            cout << "H 1 error       : " << vH1Error   << endl;
        }
        //--------------------------------------------        
    }
    
    Timing("Output ..");

    //----------------------------------------------        
    
    vSession->Finalise();
    
    return 0;
}
Beispiel #9
0
int main(int argc, char *argv[])
{
    LibUtilities::SessionReaderSharedPtr vSession
            = LibUtilities::SessionReader::CreateInstance(argc, argv);

    LibUtilities::CommSharedPtr vComm = vSession->GetComm();
    MultiRegions::ContField1DSharedPtr Exp,Fce;
    int     i, nq,  coordim;
    Array<OneD,NekDouble>  fce;
    Array<OneD,NekDouble>  xc0,xc1,xc2;
    StdRegions::ConstFactorMap factors;

    if( (argc != 2) && (argc != 3) && (argc != 4))
    {
        fprintf(stderr,"Usage: Helmholtz1D  meshfile \n");
        exit(1);
    }

    try
    {
        LibUtilities::FieldIOSharedPtr fld =
            MemoryManager<LibUtilities::FieldIO>::AllocateSharedPtr(vComm);

        //----------------------------------------------
        // Read in mesh from input file
        SpatialDomains::MeshGraphSharedPtr graph1D =
            SpatialDomains::MeshGraph::Read(vSession);
        //----------------------------------------------

        //----------------------------------------------
        // Print summary of solution details
        factors[StdRegions::eFactorLambda] = vSession->GetParameter("Lambda");
        const SpatialDomains::ExpansionMap &expansions = graph1D->GetExpansions();
        LibUtilities::BasisKey bkey0 = expansions.begin()->second->m_basisKeyVector[0];

        if (vComm->GetRank() ==0)
        {
            cout << "Solving 1D Helmholtz: "  << endl;
            cout << "       Communication: " << vComm->GetType() << endl;
            cout << "       Solver type  : " << vSession->GetSolverInfo("GlobalSysSoln") << endl;
            cout << "       Lambda       : " << factors[StdRegions::eFactorLambda] << endl;
            cout << "       No. modes    : " << bkey0.GetNumModes() << endl;
        }
        //----------------------------------------------

        //----------------------------------------------
        // Define Expansion
        Exp = MemoryManager<MultiRegions::ContField1D>::
            AllocateSharedPtr(vSession,graph1D,vSession->GetVariable(0));
        //----------------------------------------------

        //----------------------------------------------
        // Set up coordinates of mesh for Forcing function evaluation
        coordim = Exp->GetCoordim(0);
        nq      = Exp->GetTotPoints();

        xc0 = Array<OneD,NekDouble>(nq);
        xc1 = Array<OneD,NekDouble>(nq);
        xc2 = Array<OneD,NekDouble>(nq);

        switch(coordim)
        {
        case 1:
            Exp->GetCoords(xc0);
            Vmath::Zero(nq,&xc1[0],1);
            Vmath::Zero(nq,&xc2[0],1);
            break;
        case 2:
            Exp->GetCoords(xc0,xc1);
            Vmath::Zero(nq,&xc2[0],1);
            break;
        case 3:
            Exp->GetCoords(xc0,xc1,xc2);
            break;
        }
        //----------------------------------------------

        //----------------------------------------------
        // Define forcing function for first variable defined in file
        fce = Array<OneD,NekDouble>(nq);
        LibUtilities::EquationSharedPtr ffunc
                                        = vSession->GetFunction("Forcing", 0);

        ffunc->Evaluate(xc0,xc1,xc2, fce);

        //----------------------------------------------

        //----------------------------------------------
        // Setup expansion containing the  forcing function
        Fce = MemoryManager<MultiRegions::ContField1D>::AllocateSharedPtr(*Exp);
        Fce->SetPhys(fce);
        //----------------------------------------------

        //----------------------------------------------
        //Helmholtz solution taking physical forcing after setting
        //initial condition to zero
        Vmath::Zero(Exp->GetNcoeffs(),Exp->UpdateCoeffs(),1);
        Exp->HelmSolve(Fce->GetPhys(), Exp->UpdateCoeffs(), NullFlagList, factors);
        //----------------------------------------------

        //----------------------------------------------
        // Backward Transform Solution to get solved values at
        Exp->BwdTrans(Exp->GetCoeffs(), Exp->UpdatePhys());
        //----------------------------------------------

        //----------------------------------------------
        // Write solution
        string   out(strtok(argv[1],"."));
        string   endfile(".fld");
        out += endfile;
        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");
            Exp->AppendFieldData(FieldDef[i], FieldData[i]);
        }
        fld->Write(out, FieldDef, FieldData);
        //----------------------------------------------

        //----------------------------------------------
        // See if there is an exact solution, if so
        // evaluate and plot errors
        LibUtilities::EquationSharedPtr ex_sol
                                = vSession->GetFunction("ExactSolution", 0);


        if(ex_sol)
        {
            //----------------------------------------------
            // evaluate exact solution

            ex_sol->Evaluate(xc0,xc1,xc2, fce);

            Fce->SetPhys(fce);
            //----------------------------------------------

            //--------------------------------------------
            // Calculate errors
            NekDouble vLinfError = Exp->Linf(Exp->GetPhys(), Fce->GetPhys());
            NekDouble vL2Error   = Exp->L2(Exp->GetPhys(), Fce->GetPhys());
            NekDouble vH1Error   = Exp->H1(Exp->GetPhys(), Fce->GetPhys());
            if (vComm->GetRank() == 0)
            {
                cout << "L infinity error: " << vLinfError << endl;
                cout << "L 2 error:        " << vL2Error << endl;
                cout << "H 1 error:        " << vH1Error << endl;
            }
            //--------------------------------------------
        }
        //----------------------------------------------
    }
    catch (const std::runtime_error&)
    {
        cerr << "Caught exception." << endl;
        return 1;
    }

    vComm->Finalise();

    return 0;
}