Diffusion3DHomogeneous1D.cpp

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///////////////////////////////////////////////////////////////////////////////
//
// File: Diffusion3DHomogeneous1D.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: LDG diffusion 3DHomogeneous1D class.
//
///////////////////////////////////////////////////////////////////////////////
 
#include <iomanip>
#include <iostream>
 
#include <SolverUtils/Diffusion/Diffusion3DHomogeneous1D.h>
 
namespace Nektar::SolverUtils
{
std::string Diffusion3DHomogeneous1D::type[] = {
    GetDiffusionFactory().RegisterCreatorFunction(
        "LDG3DHomogeneous1D", Diffusion3DHomogeneous1D::create),
    GetDiffusionFactory().RegisterCreatorFunction(
        "LFRDG3DHomogeneous1D", Diffusion3DHomogeneous1D::create),
    GetDiffusionFactory().RegisterCreatorFunction(
        "LFRSD3DHomogeneous1D", Diffusion3DHomogeneous1D::create),
    GetDiffusionFactory().RegisterCreatorFunction(
        "LFRHU3DHomogeneous1D", Diffusion3DHomogeneous1D::create),
    GetDiffusionFactory().RegisterCreatorFunction(
        "LFRcmin3DHomogeneous1D", Diffusion3DHomogeneous1D::create),
    GetDiffusionFactory().RegisterCreatorFunction(
        "LFRcinf3DHomogeneous1D", Diffusion3DHomogeneous1D::create),
    GetDiffusionFactory().RegisterCreatorFunction(
        "LDGNS3DHomogeneous1D", Diffusion3DHomogeneous1D::create),
    GetDiffusionFactory().RegisterCreatorFunction(
        "LFRDGNS3DHomogeneous1D", Diffusion3DHomogeneous1D::create),
    GetDiffusionFactory().RegisterCreatorFunction(
        "LFRSDNS3DHomogeneous1D", Diffusion3DHomogeneous1D::create),
    GetDiffusionFactory().RegisterCreatorFunction(
        "LFRHUNS3DHomogeneous1D", Diffusion3DHomogeneous1D::create),
    GetDiffusionFactory().RegisterCreatorFunction(
        "LFRcminNS3DHomogeneous1D", Diffusion3DHomogeneous1D::create),
    GetDiffusionFactory().RegisterCreatorFunction(
        "LFRcinfNS3DHomogeneous1D", Diffusion3DHomogeneous1D::create)};
 
/**
 * @brief Diffusion3DHomogeneous1D  uses the 2D WeakDG approach
 * to compute the diffusion term looping on the planes in the z
 * direction and adding the flux in z direction at the end.
 */
Diffusion3DHomogeneous1D::Diffusion3DHomogeneous1D(std::string diffType)
{
    // Strip trailing string "3DHomogeneous1D" to determine 2D diffusion
    // type, and create a diffusion object for the plane.
    m_diffType  = diffType.substr(0, diffType.length() - 15);
    m_planeDiff = GetDiffusionFactory().CreateInstance(m_diffType, m_diffType);
}
 
/**
 * @brief Initiliase Diffusion3DHomogeneous1D objects and store
 * them before starting the time-stepping.
 *
 * @param pSession  Pointer to session reader.
 * @param pFields   Pointer to fields.
 */
void Diffusion3DHomogeneous1D::v_InitObject(
    LibUtilities::SessionReaderSharedPtr pSession,
    Array<OneD, MultiRegions::ExpListSharedPtr> pFields)
{
    int nConvectiveFields = pFields.size();
 
    Array<OneD, MultiRegions::ExpListSharedPtr> pFields_plane0(
        nConvectiveFields);
 
    // Initialise the plane advection object.
    for (int i = 0; i < nConvectiveFields; ++i)
    {
        pFields_plane0[i] = pFields[i]->GetPlane(0);
    }
    m_planeDiff->InitObject(pSession, pFields_plane0);
 
    m_numPoints      = pFields[0]->GetTotPoints();
    m_numPlanes      = pFields[0]->GetZIDs().size();
    m_numPointsPlane = m_numPoints / m_numPlanes;
    m_homoLen        = pFields[0]->GetHomoLen();
    m_trans          = pFields[0]->GetTransposition();
    m_planeCounter   = 0;
 
    if (m_diffType == "LDG")
    {
        // Set viscous flux for LDG
        m_planeDiff->SetFluxVector(m_fluxVector);
    }
    else if (m_diffType == "LDGNS")
    {
        // Set viscous flux for LDGNS
        m_planeDiff->SetFluxVectorNS(m_fluxVectorNS);
        // Set penalty flux
        m_planeDiff->SetFluxPenaltyNS(m_fluxPenaltyNS);
    }
    else if (m_diffType == "LFRDGNS" || m_diffType == "LFRHUNS" ||
             m_diffType == "LFRSDNS")
    {
        // Set viscous flux for FR cases
        m_planeDiff->SetFluxVectorNS(m_fluxVectorNS);
    }
 
    m_fieldsPlane =
        Array<OneD, MultiRegions::ExpListSharedPtr>(nConvectiveFields);
 
    if (m_fluxVectorNS)
    {
        m_inarrayPlane =
            Array<OneD, Array<OneD, NekDouble>>(nConvectiveFields - 1);
    }
    else
    {
        m_inarrayPlane = Array<OneD, Array<OneD, NekDouble>>(nConvectiveFields);
    }
    m_outarrayPlane = Array<OneD, Array<OneD, NekDouble>>(nConvectiveFields);
    m_planePos      = Array<OneD, unsigned int>(m_numPlanes);
 
    for (int i = 0; i < m_numPlanes; ++i)
    {
        m_planePos[i] = i * m_numPointsPlane;
    }
 
    if (m_fluxVectorNS)
    {
        m_homoDerivStore =
            Array<OneD, Array<OneD, NekDouble>>(nConvectiveFields);
        m_homoDerivPlane =
            Array<OneD, Array<OneD, Array<OneD, NekDouble>>>(m_numPlanes);
 
        for (int i = 0; i < nConvectiveFields; ++i)
        {
            m_homoDerivStore[i] = Array<OneD, NekDouble>(m_numPoints);
        }
 
        for (int i = 0; i < m_numPlanes; ++i)
        {
            m_homoDerivPlane[i] =
                Array<OneD, Array<OneD, NekDouble>>(nConvectiveFields);
 
            for (int j = 0; j < nConvectiveFields; ++j)
            {
                m_homoDerivPlane[i][j] = Array<OneD, NekDouble>(
                    m_numPointsPlane, m_homoDerivStore[j] + m_planePos[i]);
            }
        }
    }
}
 
/**
 * @brief Calculate WeakDG Diffusion for the linear problems
 * using an LDG interface flux and the the flux in the third direction.
 */
void Diffusion3DHomogeneous1D::v_Diffuse(
    const std::size_t nConvectiveFields,
    const Array<OneD, MultiRegions::ExpListSharedPtr> &fields,
    const Array<OneD, Array<OneD, NekDouble>> &inarray,
    Array<OneD, Array<OneD, NekDouble>> &outarray,
    [[maybe_unused]] const Array<OneD, Array<OneD, NekDouble>> &pFwd,
    [[maybe_unused]] const Array<OneD, Array<OneD, NekDouble>> &pBwd)
{
    Array<OneD, NekDouble> tmp(m_numPoints), tmp2;
    Array<OneD, Array<OneD, NekDouble>> viscHComp;
    const int nPointsTot = fields[0]->GetNpoints();
    NekDouble beta;
 
    if (m_fluxVectorNS)
    {
        viscHComp = Array<OneD, Array<OneD, NekDouble>>(nConvectiveFields);
        for (int i = 0; i < nConvectiveFields - 1; ++i)
        {
            fields[0]->PhysDeriv(2, inarray[i], m_homoDerivStore[i]);
            viscHComp[i] = Array<OneD, NekDouble>(m_numPoints);
        }
    }
 
    for (int i = 0; i < m_numPlanes; ++i)
    {
        // Set up memory references for fields, inarray and outarray for
        // this plane.
        for (int j = 0; j < inarray.size(); ++j)
        {
            m_inarrayPlane[j] = Array<OneD, NekDouble>(
                m_numPointsPlane, tmp2 = inarray[j] + m_planePos[i]);
        }
 
        for (int j = 0; j < nConvectiveFields; ++j)
        {
            m_fieldsPlane[j]   = fields[j]->GetPlane(i);
            m_outarrayPlane[j] = Array<OneD, NekDouble>(
                m_numPointsPlane, tmp2 = outarray[j] + m_planePos[i]);
        }
 
        if (m_fluxVectorNS)
        {
            m_planeDiff->SetHomoDerivs(m_homoDerivPlane[i]);
        }
 
        if (m_diffType == "LDGNS")
        {
            // Store plane Fwd/Bwd traces
            std::size_t nTracePts =
                m_fieldsPlane[0]->GetTrace()->GetTotPoints();
            std::size_t nScalar = m_inarrayPlane.size();
            Array<OneD, Array<OneD, NekDouble>> Fwd(nScalar);
            Array<OneD, Array<OneD, NekDouble>> Bwd(nScalar);
            {
                for (std::size_t k = 0; k < nScalar; ++k)
                {
                    Fwd[k] = Array<OneD, NekDouble>(nTracePts, 0.0);
                    Bwd[k] = Array<OneD, NekDouble>(nTracePts, 0.0);
                    m_fieldsPlane[k]->GetFwdBwdTracePhys(m_inarrayPlane[k],
                                                         Fwd[k], Bwd[k]);
                }
            }
 
            m_planeDiff->Diffuse(nConvectiveFields, m_fieldsPlane,
                                 m_inarrayPlane, m_outarrayPlane, Fwd, Bwd);
        }
        else
        {
            m_planeDiff->Diffuse(nConvectiveFields, m_fieldsPlane,
                                 m_inarrayPlane, m_outarrayPlane);
        }
 
        if (m_fluxVectorNS)
        {
            Array<OneD, Array<OneD, Array<OneD, NekDouble>>> &viscTensor =
                m_planeDiff->GetFluxTensor();
 
            // Extract H (viscTensor[2])
            for (int j = 0; j < nConvectiveFields - 1; ++j)
            {
                Vmath::Vcopy(m_numPointsPlane, viscTensor[2][j + 1], 1,
                             tmp2 = viscHComp[j] + m_planePos[i], 1);
            }
        }
    }
 
    if (m_fluxVectorNS)
    {
        for (int j = 0; j < nConvectiveFields - 1; ++j)
        {
            fields[j + 1]->PhysDeriv(2, viscHComp[j], tmp);
            Vmath::Vadd(nPointsTot, outarray[j + 1], 1, tmp, 1, outarray[j + 1],
                        1);
        }
    }
    else
    {
        for (int j = 0; j < nConvectiveFields; ++j)
        {
            fields[j]->HomogeneousFwdTrans(m_numPoints, inarray[j], tmp);
 
            for (int i = 0; i < m_numPlanes; ++i)
            {
                beta = 2 * M_PI * m_trans->GetK(i) / m_homoLen;
                beta *= beta;
 
                Vmath::Smul(m_numPointsPlane, beta,
                            &tmp[0] + i * m_numPointsPlane, 1,
                            &tmp[0] + i * m_numPointsPlane, 1);
            }
 
            fields[0]->HomogeneousBwdTrans(m_numPoints, tmp, tmp);
 
            Vmath::Vsub(nPointsTot, outarray[j], 1, tmp, 1, outarray[j], 1);
        }
    }
}
} // namespace Nektar::SolverUtils