UnsteadyDiffusion.cpp

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///////////////////////////////////////////////////////////////////////////////
//
// File UnsteadyDiffusion.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
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// DEALINGS IN THE SOFTWARE.
//
// Description: Unsteady diffusion solve routines
//
///////////////////////////////////////////////////////////////////////////////
 
#include <ADRSolver/EquationSystems/UnsteadyDiffusion.h>
#include <LibUtilities/TimeIntegration/TimeIntegrationScheme.h>
#include <iostream>
#include <iomanip>
 
#include <boost/core/ignore_unused.hpp>
 
using namespace std;
 
namespace Nektar
{
    string UnsteadyDiffusion::className = GetEquationSystemFactory().RegisterCreatorFunction("UnsteadyDiffusion", UnsteadyDiffusion::create);
 
    UnsteadyDiffusion::UnsteadyDiffusion(
        const LibUtilities::SessionReaderSharedPtr& pSession,
        const SpatialDomains::MeshGraphSharedPtr& pGraph)
        : UnsteadySystem(pSession, pGraph)
    {
    }
 
    /**
     * @brief Initialisation object for the unsteady diffusion problem.
     */
    void UnsteadyDiffusion::v_InitObject()
    {
        UnsteadySystem::v_InitObject();
 
        m_session->LoadParameter("wavefreq",   m_waveFreq, 0.0);
        m_session->LoadParameter("epsilon",    m_epsilon,  1.0);
 
        m_session->MatchSolverInfo(
            "SpectralVanishingViscosity", "True", m_useSpecVanVisc, false);
 
        if(m_useSpecVanVisc)
        {
            m_session->LoadParameter("SVVCutoffRatio",m_sVVCutoffRatio,0.75);
            m_session->LoadParameter("SVVDiffCoeff",m_sVVDiffCoeff,0.1);
        }
 
        int npoints = m_fields[0]->GetNpoints();
 
        if(m_session->DefinesParameter("d00"))
        {
            m_varcoeff[StdRegions::eVarCoeffD00]
            = Array<OneD, NekDouble>(npoints, m_session->GetParameter("d00"));
        }
        if(m_session->DefinesParameter("d11"))
        {
            m_varcoeff[StdRegions::eVarCoeffD11]
            = Array<OneD, NekDouble>(npoints, m_session->GetParameter("d11"));
        }
        if(m_session->DefinesParameter("d22"))
        {
            m_varcoeff[StdRegions::eVarCoeffD22]
            = Array<OneD, NekDouble>(npoints, m_session->GetParameter("d22"));
        }
 
        switch (m_projectionType)
        {
            case MultiRegions::eDiscontinuous:
            {
                std::string diffName;
 
                // Do not forwards transform initial condition
                m_homoInitialFwd = false;
 
                m_session->LoadSolverInfo("DiffusionType", diffName, "LDG");
                m_diffusion = SolverUtils::GetDiffusionFactory().
                    CreateInstance(diffName, diffName);
                m_diffusion->SetFluxVector(&UnsteadyDiffusion::
                                           GetFluxVector, this);
                m_diffusion->InitObject(m_session, m_fields);
                break;
            }
 
            case MultiRegions::eGalerkin:
            case MultiRegions::eMixed_CG_Discontinuous:
            {
                // In case of Galerkin explicit diffusion gives an error
                if (m_explicitDiffusion)
                {
                    ASSERTL0(false, "Explicit Galerkin diffusion not set up.");
                }
                // In case of Galerkin implicit diffusion: do nothing
            }
        }
 
        if (m_explicitDiffusion)
        {
            m_ode.DefineOdeRhs    (&UnsteadyDiffusion::DoOdeRhs,        this);
            m_ode.DefineProjection(&UnsteadyDiffusion::DoOdeProjection, this);
        }
        else
        {
            m_ode.DefineOdeRhs    (&UnsteadyDiffusion::DoOdeRhs,        this);
            m_ode.DefineProjection(&UnsteadyDiffusion::DoOdeProjection, this);
            m_ode.DefineImplicitSolve(
                                &UnsteadyDiffusion::DoImplicitSolve, this);
        }
    }
 
    /**
     * @brief Unsteady diffusion problem destructor.
     */
    UnsteadyDiffusion::~UnsteadyDiffusion()
    {
    }
 
    void UnsteadyDiffusion::v_GenerateSummary(SummaryList& s)
    {
        UnsteadySystem::v_GenerateSummary(s);
        if(m_useSpecVanVisc)
        {
            stringstream ss;
            ss << "SVV (cut off = " << m_sVVCutoffRatio
               << ", coeff = "      << m_sVVDiffCoeff << ")";
            AddSummaryItem(s, "Smoothing", ss.str());
        }
    }
 
 
    /* @brief Compute the right-hand side for the unsteady diffusion problem.
     *
     * @param inarray    Given fields.
     * @param outarray   Calculated solution.
     * @param time       Time.
     */
    void UnsteadyDiffusion::DoOdeRhs(
        const Array<OneD, const  Array<OneD, NekDouble> > &inarray,
              Array<OneD,        Array<OneD, NekDouble> > &outarray,
        const NekDouble time)
    {
        boost::ignore_unused(time);
 
        // Number of fields (variables of the problem)
        int nVariables = inarray.size();
 
        // RHS computation using the new advection base class
        m_diffusion->Diffuse(nVariables,
                             m_fields,
                             inarray,
                             outarray);
    }
 
    /**
     * @brief Compute the projection for the unsteady diffusion problem.
     *
     * @param inarray    Given fields.
     * @param outarray   Calculated solution.
     * @param time       Time.
     */
    void UnsteadyDiffusion::DoOdeProjection(
        const Array<OneD, const Array<OneD, NekDouble> > &inarray,
              Array<OneD,       Array<OneD, NekDouble> > &outarray,
        const NekDouble time)
    {
        int i;
        int nvariables = inarray.size();
        SetBoundaryConditions(time);
 
        switch(m_projectionType)
        {
            case MultiRegions::eDiscontinuous:
            {
                // Just copy over array
                int npoints = GetNpoints();
 
                for(i = 0; i < nvariables; ++i)
                {
                    Vmath::Vcopy(npoints, inarray[i], 1, outarray[i], 1);
                }
                break;
            }
            case MultiRegions::eGalerkin:
            case MultiRegions::eMixed_CG_Discontinuous:
            {
                Array<OneD, NekDouble> coeffs(m_fields[0]->GetNcoeffs());
 
                for(i = 0; i < nvariables; ++i)
                {
                    m_fields[i]->FwdTrans(inarray[i], coeffs);
                    m_fields[i]->BwdTrans_IterPerExp(coeffs, outarray[i]);
                }
                break;
            }
            default:
            {
                ASSERTL0(false, "Unknown projection scheme");
                break;
            }
        }
    }
 
    /**
     * @brief Implicit solution of the unsteady diffusion problem.
     */
    void UnsteadyDiffusion::DoImplicitSolve(
        const Array<OneD, const Array<OneD, NekDouble> > &inarray,
              Array<OneD,       Array<OneD, NekDouble> > &outarray,
        const NekDouble time,
        const NekDouble lambda)
    {
        boost::ignore_unused(time);
 
        StdRegions::ConstFactorMap factors;
 
        int nvariables = inarray.size();
        int npoints    = m_fields[0]->GetNpoints();
        factors[StdRegions::eFactorLambda] = 1.0 / lambda / m_epsilon;
        factors[StdRegions::eFactorTau]    = 1.0;
 
        if(m_useSpecVanVisc)
        {
            factors[StdRegions::eFactorSVVCutoffRatio] = m_sVVCutoffRatio;
            factors[StdRegions::eFactorSVVDiffCoeff]   = m_sVVDiffCoeff/m_epsilon;
        }
 
        // We solve ( \nabla^2 - HHlambda ) Y[i] = rhs [i]
        // inarray = input: \hat{rhs} -> output: \hat{Y}
        // outarray = output: nabla^2 \hat{Y}
        // where \hat = modal coeffs
        for (int i = 0; i < nvariables; ++i)
        {
            // Multiply 1.0/timestep/lambda
            Vmath::Smul(npoints,
                        -factors[StdRegions::eFactorLambda],
                        inarray[i], 1,
                        outarray[i], 1);
 
            // Solve a system of equations with Helmholtz solver
            m_fields[i]->HelmSolve(outarray[i],
                                   m_fields[i]->UpdateCoeffs(),
                                   factors,
                                   m_varcoeff);
 
            m_fields[i]->BwdTrans(m_fields[i]->GetCoeffs(),
                                  outarray[i]);
 
            m_fields[i]->SetPhysState(false);
        }
    }
 
    /**
     * @brief Return the flux vector for the unsteady diffusion problem.
     */
    void UnsteadyDiffusion::GetFluxVector(
        const Array<OneD, Array<OneD, NekDouble> > &inarray,
        const Array<OneD, Array<OneD, Array<OneD, NekDouble> > >&qfield,
              Array<OneD, Array<OneD, Array<OneD, NekDouble> > >&viscousTensor)
    {
        boost::ignore_unused(inarray);
 
        unsigned int nDim = qfield.size();
        unsigned int nConvectiveFields = qfield[0].size();
        unsigned int nPts = qfield[0][0].size();
 
        for (unsigned int j = 0; j < nDim; ++j)
        {
            for (unsigned int i = 0; i < nConvectiveFields; ++i)
            {
                Vmath::Smul(nPts, m_epsilon, qfield[j][i], 1,
                    viscousTensor[j][i], 1 );
            }
        }
    }
}