MappingExtrapolate.cpp

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///////////////////////////////////////////////////////////////////////////////
//
// File: MappingExtrapolate.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: Abstract base class for MappingExtrapolate.
//
///////////////////////////////////////////////////////////////////////////////
 
#include <IncNavierStokesSolver/EquationSystems/MappingExtrapolate.h>
 
namespace Nektar
{
/**
 * Registers the class with the Factory.
 */
std::string MappingExtrapolate::className =
    GetExtrapolateFactory().RegisterCreatorFunction(
        "Mapping", MappingExtrapolate::create, "Mapping");
 
MappingExtrapolate::MappingExtrapolate(
    const LibUtilities::SessionReaderSharedPtr pSession,
    Array<OneD, MultiRegions::ExpListSharedPtr> pFields,
    MultiRegions::ExpListSharedPtr pPressure, const Array<OneD, int> pVel,
    const SolverUtils::AdvectionSharedPtr advObject)
    : StandardExtrapolate(pSession, pFields, pPressure, pVel, advObject)
{
    m_mapping = GlobalMapping::Mapping::Load(m_session, m_fields);
 
    // Load solve parameters related to the mapping
    // Flags determining if pressure/viscous terms should be treated implicitly
    m_session->MatchSolverInfo("MappingImplicitPressure", "True",
                               m_implicitPressure, false);
    m_session->MatchSolverInfo("MappingImplicitViscous", "True",
                               m_implicitViscous, false);
 
    // Relaxation parameter for pressure system
    m_session->LoadParameter("MappingPressureRelaxation", m_pressureRelaxation,
                             1.0);
}
 
/**
 *
 */
void MappingExtrapolate::v_CorrectPressureBCs(
    const Array<OneD, NekDouble> &pressure)
{
    if (m_HBCnumber > 0)
    {
        size_t cnt, n;
        size_t physTot = m_fields[0]->GetTotPoints();
        size_t nvel    = m_fields.size() - 1;
 
        Array<OneD, NekDouble> Vals;
        // Remove previous correction
        for (cnt = n = 0; n < m_PBndConds.size(); ++n)
        {
            if (m_PBndConds[n]->GetUserDefined() == "H")
            {
                size_t nq = m_PBndExp[n]->GetNcoeffs();
                Vmath::Vsub(nq, &(m_PBndExp[n]->GetCoeffs()[0]), 1,
                            &(m_bcCorrection[cnt]), 1,
                            &(m_PBndExp[n]->UpdateCoeffs()[0]), 1);
                cnt += nq;
            }
        }
 
        // Calculate new correction
        Array<OneD, NekDouble> Jac(physTot, 0.0);
        m_mapping->GetJacobian(Jac);
 
        Array<OneD, Array<OneD, NekDouble>> correction(nvel);
        Array<OneD, Array<OneD, NekDouble>> gradP(nvel);
        Array<OneD, Array<OneD, NekDouble>> wk(nvel);
        Array<OneD, Array<OneD, NekDouble>> wk2(nvel);
        for (size_t i = 0; i < nvel; i++)
        {
            wk[i]         = Array<OneD, NekDouble>(physTot, 0.0);
            gradP[i]      = Array<OneD, NekDouble>(physTot, 0.0);
            correction[i] = Array<OneD, NekDouble>(physTot, 0.0);
        }
 
        // Calculate G(p)
        for (size_t i = 0; i < nvel; ++i)
        {
            m_fields[0]->PhysDeriv(MultiRegions::DirCartesianMap[i], pressure,
                                   gradP[i]);
            if (m_fields[0]->GetWaveSpace())
            {
                m_fields[0]->HomogeneousBwdTrans(physTot, gradP[i], wk[i]);
            }
            else
            {
                Vmath::Vcopy(physTot, gradP[i], 1, wk[i], 1);
            }
        }
        m_mapping->RaiseIndex(wk, correction); // G(p)
 
        // alpha*J*(G(p))
        if (!m_mapping->HasConstantJacobian())
        {
            for (size_t i = 0; i < nvel; ++i)
            {
                Vmath::Vmul(physTot, correction[i], 1, Jac, 1, correction[i],
                            1);
            }
        }
        for (size_t i = 0; i < nvel; ++i)
        {
            Vmath::Smul(physTot, m_pressureRelaxation, correction[i], 1,
                        correction[i], 1);
        }
 
        if (m_pressure->GetWaveSpace())
        {
            for (size_t i = 0; i < nvel; ++i)
            {
                m_pressure->HomogeneousFwdTrans(physTot, correction[i],
                                                correction[i]);
            }
        }
        // p_i - alpha*J*div(G(p))
        for (size_t i = 0; i < nvel; ++i)
        {
            Vmath::Vsub(physTot, gradP[i], 1, correction[i], 1, correction[i],
                        1);
        }
 
        // Get value at boundary and calculate Inner product
        Array<OneD, Array<OneD, NekDouble>> correctionElmt(m_bnd_dim);
        Array<OneD, Array<OneD, NekDouble>> BndValues(m_bnd_dim);
        MultiRegions::ExpListSharedPtr BndElmtExp;
        for (n = cnt = 0; n < m_PBndConds.size(); ++n)
        {
            // High order boundary condition;
            if (boost::iequals(m_PBndConds[n]->GetUserDefined(), "H"))
            {
                m_fields[0]->GetBndElmtExpansion(n, BndElmtExp);
 
                // Obtaining fields on BndElmtExp
                for (int i = 0; i < m_bnd_dim; i++)
                {
                    m_fields[0]->ExtractPhysToBndElmt(n, correction[i],
                                                      correctionElmt[i]);
                }
 
                Vals = m_bcCorrection + cnt;
                // Getting values on the edge and filling the correction
                for (int i = 0; i < m_bnd_dim; i++)
                {
                    m_fields[0]->ExtractElmtToBndPhys(n, correctionElmt[i],
                                                      BndValues[i]);
                }
                m_PBndExp[n]->NormVectorIProductWRTBase(BndValues, Vals);
 
                // Get offset for next terms
                cnt += m_PBndExp[n]->GetNcoeffs();
            }
        }
 
        // Apply new correction
        for (size_t cnt = n = 0; n < m_PBndConds.size(); ++n)
        {
            if (m_PBndConds[n]->GetUserDefined() == "H")
            {
                size_t nq = m_PBndExp[n]->GetNcoeffs();
                Vmath::Vadd(nq, &(m_PBndExp[n]->GetCoeffs()[0]), 1,
                            &(m_bcCorrection[cnt]), 1,
                            &(m_PBndExp[n]->UpdateCoeffs()[0]), 1);
                cnt += nq;
            }
        }
    }
}
 
void MappingExtrapolate::v_CalcNeumannPressureBCs(
    const Array<OneD, const Array<OneD, NekDouble>> &fields,
    const Array<OneD, const Array<OneD, NekDouble>> &N, NekDouble kinvis)
{
    if (m_mapping->HasConstantJacobian() && !m_implicitViscous)
    {
        Extrapolate::v_CalcNeumannPressureBCs(fields, N, kinvis);
    }
    else
    {
        size_t physTot = m_fields[0]->GetTotPoints();
        size_t nvel    = m_fields.size() - 1;
        size_t i, n, cnt;
 
        Array<OneD, NekDouble> Pvals;
        Array<OneD, NekDouble> Uvals;
 
        Array<OneD, Array<OneD, NekDouble>> Velocity(m_bnd_dim);
        Array<OneD, Array<OneD, NekDouble>> Advection(m_bnd_dim);
        // Get transformation Jacobian
        Array<OneD, NekDouble> Jac(physTot, 0.0);
        m_mapping->GetJacobian(Jac);
        // Declare variables
        Array<OneD, Array<OneD, NekDouble>> BndValues(m_bnd_dim);
        Array<OneD, Array<OneD, NekDouble>> Q(m_bnd_dim);
        Array<OneD, Array<OneD, NekDouble>> Q_field(nvel);
        Array<OneD, Array<OneD, NekDouble>> fields_new(nvel);
        Array<OneD, Array<OneD, NekDouble>> N_new(m_bnd_dim);
        // Temporary variables
        Array<OneD, NekDouble> tmp(physTot, 0.0);
        Array<OneD, NekDouble> tmp2(physTot, 0.0);
        for (int i = 0; i < m_bnd_dim; i++)
        {
            N_new[i] = Array<OneD, NekDouble>(physTot, 0.0);
        }
        for (i = 0; i < nvel; i++)
        {
            Q_field[i]    = Array<OneD, NekDouble>(physTot, 0.0);
            fields_new[i] = Array<OneD, NekDouble>(physTot, 0.0);
        }
 
        // Multiply convective terms by Jacobian
        for (int i = 0; i < m_bnd_dim; i++)
        {
            if (m_fields[0]->GetWaveSpace())
            {
                m_fields[0]->HomogeneousBwdTrans(physTot, N[i], N_new[i]);
            }
            else
            {
                Vmath::Vcopy(physTot, N[i], 1, N_new[i], 1);
            }
            Vmath::Vmul(physTot, Jac, 1, N_new[i], 1, N_new[i], 1);
            if (m_fields[0]->GetWaveSpace())
            {
                m_fields[0]->HomogeneousFwdTrans(physTot, N_new[i], N_new[i]);
            }
        }
 
        // Get velocity in physical space
        for (i = 0; i < nvel; i++)
        {
            if (m_fields[0]->GetWaveSpace())
            {
                m_fields[0]->HomogeneousBwdTrans(physTot, fields[i],
                                                 fields_new[i]);
            }
            else
            {
                Vmath::Vcopy(physTot, fields[i], 1, fields_new[i], 1);
            }
        }
 
        // Calculate appropriate form of the CurlCurl operator
        m_mapping->CurlCurlField(fields_new, Q_field, m_implicitViscous);
 
        // If viscous terms are treated explicitly,
        //     add grad(U/J \dot grad J) to CurlCurl
        if (!m_implicitViscous)
        {
            m_mapping->DotGradJacobian(fields_new, tmp);
            Vmath::Vdiv(physTot, tmp, 1, Jac, 1, tmp, 1);
 
            bool wavespace = m_fields[0]->GetWaveSpace();
            m_fields[0]->SetWaveSpace(false);
            for (int i = 0; i < m_bnd_dim; i++)
            {
                m_fields[0]->PhysDeriv(MultiRegions::DirCartesianMap[i], tmp,
                                       tmp2);
                Vmath::Vadd(physTot, Q_field[i], 1, tmp2, 1, Q_field[i], 1);
            }
            m_fields[0]->SetWaveSpace(wavespace);
        }
 
        // Multiply by Jacobian and convert to wavespace (if necessary)
        for (int i = 0; i < m_bnd_dim; i++)
        {
            Vmath::Vmul(physTot, Jac, 1, fields_new[i], 1, fields_new[i], 1);
            Vmath::Vmul(physTot, Jac, 1, Q_field[i], 1, Q_field[i], 1);
            if (m_fields[0]->GetWaveSpace())
            {
                m_fields[0]->HomogeneousFwdTrans(physTot, fields_new[i],
                                                 fields_new[i]);
                m_fields[0]->HomogeneousFwdTrans(physTot, Q_field[i],
                                                 Q_field[i]);
            }
        }
 
        MultiRegions::ExpListSharedPtr BndElmtExp;
        for (n = cnt = 0; n < m_PBndConds.size(); ++n)
        {
            // High order boundary condition;
            if (boost::iequals(m_PBndConds[n]->GetUserDefined(), "H"))
            {
                m_fields[0]->GetBndElmtExpansion(n, BndElmtExp);
                size_t nq = BndElmtExp->GetTotPoints();
 
                // Obtaining fields on BndElmtExp
                for (int i = 0; i < m_bnd_dim; i++)
                {
                    m_fields[0]->ExtractPhysToBndElmt(n, fields_new[i],
                                                      Velocity[i]);
                    m_fields[0]->ExtractPhysToBndElmt(n, N_new[i],
                                                      Advection[i]);
                    m_fields[0]->ExtractPhysToBndElmt(n, Q_field[i], Q[i]);
                }
 
                // Mounting advection component into the high-order condition
                for (int i = 0; i < m_bnd_dim; i++)
                {
                    MountHOPBCs(nq, kinvis, Q[i], Advection[i]);
                }
 
                Pvals = (m_pressureHBCs[m_intSteps - 1]) + cnt;
                Uvals = (m_iprodnormvel[m_intSteps]) + cnt;
 
                // Getting values on the edge and filling the pressure boundary
                // expansion and the acceleration term. Multiplication by the
                // normal is required
                for (int i = 0; i < m_bnd_dim; i++)
                {
                    m_fields[0]->ExtractElmtToBndPhys(n, Q[i], BndValues[i]);
                }
                m_PBndExp[n]->NormVectorIProductWRTBase(BndValues, Pvals);
 
                for (int i = 0; i < m_bnd_dim; i++)
                {
                    m_fields[0]->ExtractElmtToBndPhys(n, Velocity[i],
                                                      BndValues[i]);
                }
                m_PBndExp[n]->NormVectorIProductWRTBase(BndValues, Uvals);
 
                // Get offset for next terms
                cnt += m_PBndExp[n]->GetNcoeffs();
            }
        }
    }
    // If pressure terms are treated implicitly, we need to multiply
    //     by the relaxation parameter, and zero the correction term
    if (m_implicitPressure)
    {
        Vmath::Smul(m_numHBCDof, m_pressureRelaxation,
                    m_pressureHBCs[m_intSteps - 1], 1,
                    m_pressureHBCs[m_intSteps - 1], 1);
    }
    m_bcCorrection = Array<OneD, NekDouble>(m_numHBCDof, 0.0);
}
 
} // namespace Nektar