NavierStokesAdvection.cpp

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///////////////////////////////////////////////////////////////////////////////
//
// File NavierStokesAdvection.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
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// DEALINGS IN THE SOFTWARE.
//
// Description: Evaluation of the Navier Stokes advective term
//
///////////////////////////////////////////////////////////////////////////////
 
#include <IncNavierStokesSolver/AdvectionTerms/NavierStokesAdvection.h>
#include <LibUtilities/BasicUtils/Timer.h>
 
using namespace std;
 
namespace Nektar
{
 
std::string NavierStokesAdvection::navierStokesAdvectionTypeLookupIds[2] = {
    LibUtilities::SessionReader::RegisterEnumValue("SPECTRALHPDEALIASING",
                                                   "True", 0),
    LibUtilities::SessionReader::RegisterEnumValue("SPECTRALHPDEALIASING",
                                                   "False", 1)};
 
string NavierStokesAdvection::className =
    SolverUtils::GetAdvectionFactory().RegisterCreatorFunction(
        "Convective", NavierStokesAdvection::create, "Convective");
string NavierStokesAdvection::className2 =
    SolverUtils::GetAdvectionFactory().RegisterCreatorFunction(
        "NonConservative", NavierStokesAdvection::create, "NonConserviative");
 
/**
 * Constructor. Creates ...
 *
 * \param
 * \param
 */
 
NavierStokesAdvection::NavierStokesAdvection() : Advection()
 
{
}
 
NavierStokesAdvection::~NavierStokesAdvection()
{
}
 
void NavierStokesAdvection::v_InitObject(
    LibUtilities::SessionReaderSharedPtr pSession,
    Array<OneD, MultiRegions::ExpListSharedPtr> pFields)
{
    m_homogen_dealiasing = pSession->DefinesSolverInfo("dealiasing");
 
    pSession->MatchSolverInfo("SPECTRALHPDEALIASING", "True",
                              m_specHP_dealiasing, false);
    pSession->MatchSolverInfo("ModeType", "SingleMode", m_SingleMode, false);
    pSession->MatchSolverInfo("ModeType", "HalfMode", m_HalfMode, false);
 
    Advection::v_InitObject(pSession, pFields);
}
 
void NavierStokesAdvection::v_Advect(
    const int nConvectiveFields,
    const Array<OneD, MultiRegions::ExpListSharedPtr> &fields,
    const Array<OneD, Array<OneD, NekDouble>> &advVel,
    const Array<OneD, Array<OneD, NekDouble>> &inarray,
    Array<OneD, Array<OneD, NekDouble>> &outarray, const NekDouble &time,
    const Array<OneD, Array<OneD, NekDouble>> &pFwd,
    const Array<OneD, Array<OneD, NekDouble>> &pBwd)
{
    int nqtot = fields[0]->GetTotPoints();
    ASSERTL1(nConvectiveFields == inarray.size(),
             "Number of convective fields and Inarray are not compatible");
 
    // use dimension of Velocity vector to dictate dimension of operation
    int ndim = advVel.size();
    Array<OneD, Array<OneD, NekDouble>> AdvVel(advVel.size());
 
    Array<OneD, Array<OneD, NekDouble>> velocity(ndim);
 
    LibUtilities::Timer timer;
 
    for (int i = 0; i < ndim; ++i)
    {
        if (fields[i]->GetWaveSpace() && !m_SingleMode && !m_HalfMode &&
            !m_homogen_dealiasing)
        {
            velocity[i] = Array<OneD, NekDouble>(nqtot, 0.0);
            fields[i]->HomogeneousBwdTrans(advVel[i], velocity[i]);
        }
        else
        {
            velocity[i] = advVel[i];
        }
    }
 
    int nPointsTot = fields[0]->GetNpoints();
    Array<OneD, NekDouble> grad0, grad1, grad2, wkSp;
 
    NekDouble OneDptscale = 1.5; // factor to rescale 1d points in dealiasing
 
    if (m_specHP_dealiasing)
    {
        // Get number of points to dealias a quadratic non-linearity
        nPointsTot = fields[0]->Get1DScaledTotPoints(OneDptscale);
    }
 
    // interpolate Advection velocity
    if (m_specHP_dealiasing) // interpolate advection field to higher space.
    {
        for (int i = 0; i < ndim; ++i)
        {
            AdvVel[i] = Array<OneD, NekDouble>(nPointsTot);
            // interpolate infield to 3/2 dimension
            timer.Start();
            fields[0]->PhysInterp1DScaled(OneDptscale, velocity[i], AdvVel[i]);
            timer.Stop();
            timer.AccumulateRegion("Interp1DScaled");
        }
    }
    else
    {
        for (int i = 0; i < ndim; ++i)
        {
            AdvVel[i] = velocity[i];
        }
    }
 
    wkSp = Array<OneD, NekDouble>(nPointsTot);
 
    // Evaluate V\cdot Grad(u)
    switch (ndim)
    {
        case 1:
            grad0 = Array<OneD, NekDouble>(fields[0]->GetNpoints());
            for (int n = 0; n < nConvectiveFields; ++n)
            {
                fields[0]->PhysDeriv(inarray[n], grad0);
                if (m_specHP_dealiasing) // interpolate gradient field
                {
                    Array<OneD, NekDouble> Outarray(nPointsTot);
                    fields[0]->PhysInterp1DScaled(OneDptscale, grad0, wkSp);
                    Vmath::Vmul(nPointsTot, wkSp, 1, AdvVel[0], 1, Outarray, 1);
                    // Galerkin project solution back to origianl spac
                    timer.Start();
                    fields[0]->PhysGalerkinProjection1DScaled(
                        OneDptscale, Outarray, outarray[n]);
                    timer.Stop();
                    timer.AccumulateRegion("GalerinProject");
                }
                else
                {
                    Vmath::Vmul(nPointsTot, grad0, 1, AdvVel[0], 1, outarray[n],
                                1);
                }
            }
            break;
        case 2:
            grad0 = Array<OneD, NekDouble>(fields[0]->GetNpoints());
            grad1 = Array<OneD, NekDouble>(fields[0]->GetNpoints());
            for (int n = 0; n < nConvectiveFields; ++n)
            {
                fields[0]->PhysDeriv(inarray[n], grad0, grad1);
 
                if (m_specHP_dealiasing) // interpolate gradient field
                {
                    Array<OneD, NekDouble> Outarray(nPointsTot);
                    fields[0]->PhysInterp1DScaled(OneDptscale, grad0, wkSp);
                    Vmath::Vmul(nPointsTot, wkSp, 1, AdvVel[0], 1, Outarray, 1);
                    timer.Start();
                    fields[0]->PhysInterp1DScaled(OneDptscale, grad1, wkSp);
                    timer.Stop();
                    timer.AccumulateRegion("Interp1DScaled");
                    Vmath::Vvtvp(nPointsTot, wkSp, 1, AdvVel[1], 1, Outarray, 1,
                                 Outarray, 1);
                    // Galerkin project solution back to original space
                    timer.Start();
                    fields[0]->PhysGalerkinProjection1DScaled(
                        OneDptscale, Outarray, outarray[n]);
                    timer.Stop();
                    timer.AccumulateRegion("GalerinProject");
                }
                else
                {
                    Vmath::Vmul(nPointsTot, grad0, 1, AdvVel[0], 1, outarray[n],
                                1);
                    Vmath::Vvtvp(nPointsTot, grad1, 1, AdvVel[1], 1,
                                 outarray[n], 1, outarray[n], 1);
                }
            }
            break;
        case 3:
            if (m_homogen_dealiasing == true && m_specHP_dealiasing == true)
            {
                Array<OneD, Array<OneD, NekDouble>> grad(ndim);
                Array<OneD, Array<OneD, NekDouble>> gradScaled(
                    ndim * nConvectiveFields);
                Array<OneD, Array<OneD, NekDouble>> Outarray(nConvectiveFields);
                for (int i = 0; i < ndim; i++)
                {
                    grad[i] = Array<OneD, NekDouble>(fields[0]->GetNpoints());
                }
                for (int i = 0; i < ndim * nConvectiveFields; i++)
                {
                    gradScaled[i] = Array<OneD, NekDouble>(nPointsTot);
                }
                for (int i = 0; i < nConvectiveFields; i++)
                {
                    Outarray[i] = Array<OneD, NekDouble>(nPointsTot);
                }
 
                for (int n = 0; n < nConvectiveFields; n++)
                {
                    fields[0]->PhysDeriv(inarray[n], grad[0], grad[1], grad[2]);
                    for (int i = 0; i < ndim; i++)
                    {
                        timer.Start();
                        fields[0]->PhysInterp1DScaled(OneDptscale, grad[i],
                                                      gradScaled[n * ndim + i]);
                        timer.Stop();
                        timer.AccumulateRegion("Interp1DScaled");
                    }
                }
 
                fields[0]->DealiasedDotProd(AdvVel, gradScaled, Outarray);
 
                timer.Start();
                for (int n = 0; n < nConvectiveFields; n++)
                {
                    fields[0]->PhysGalerkinProjection1DScaled(
                        OneDptscale, Outarray[n], outarray[n]);
                }
                timer.Stop();
                timer.AccumulateRegion("GalerinProject");
            }
            else if (m_homogen_dealiasing == true &&
                     m_specHP_dealiasing == false)
            {
                Array<OneD, Array<OneD, NekDouble>> grad(ndim *
                                                         nConvectiveFields);
                Array<OneD, Array<OneD, NekDouble>> Outarray(nConvectiveFields);
                for (int i = 0; i < ndim * nConvectiveFields; i++)
                {
                    grad[i] = Array<OneD, NekDouble>(nPointsTot);
                }
                for (int i = 0; i < nConvectiveFields; i++)
                {
                    Outarray[i] = Array<OneD, NekDouble>(nPointsTot);
                }
 
                for (int n = 0; n < nConvectiveFields; n++)
                {
                    fields[0]->PhysDeriv(inarray[n], grad[n * ndim + 0],
                                         grad[n * ndim + 1],
                                         grad[n * ndim + 2]);
                }
 
                fields[0]->DealiasedDotProd(AdvVel, grad, outarray);
            }
            else
            {
                grad0 = Array<OneD, NekDouble>(fields[0]->GetNpoints());
                grad1 = Array<OneD, NekDouble>(fields[0]->GetNpoints());
                grad2 = Array<OneD, NekDouble>(fields[0]->GetNpoints());
                Array<OneD, NekDouble> tmp = grad2;
                for (int n = 0; n < nConvectiveFields; ++n)
                {
                    if (fields[0]->GetWaveSpace() == true &&
                        fields[0]->GetExpType() == MultiRegions::e3DH1D)
                    {
                        fields[0]->HomogeneousBwdTrans(inarray[n], tmp);
                        fields[0]->PhysDeriv(tmp, grad0, grad1);
                        // Take d/dz derivative using wave space field
                        fields[0]->PhysDeriv(MultiRegions::DirCartesianMap[2],
                                             inarray[n], outarray[n]);
                        fields[0]->HomogeneousBwdTrans(outarray[n], grad2);
                    }
                    else if (fields[0]->GetWaveSpace() == true &&
                             fields[0]->GetExpType() == MultiRegions::e3DH2D)
                    {
                        fields[0]->HomogeneousBwdTrans(inarray[n], tmp);
                        fields[0]->PhysDeriv(tmp, grad0);
                        // Take d/dy derivative using wave space field
                        fields[0]->PhysDeriv(MultiRegions::DirCartesianMap[1],
                                             inarray[n], outarray[n]);
                        fields[0]->HomogeneousBwdTrans(outarray[n], grad1);
                        // Take d/dz derivative using wave space field
                        fields[0]->PhysDeriv(MultiRegions::DirCartesianMap[2],
                                             inarray[n], outarray[n]);
                        fields[0]->HomogeneousBwdTrans(outarray[n], grad2);
                    }
                    else
                    {
                        fields[0]->PhysDeriv(inarray[n], grad0, grad1, grad2);
                    }
                    if (m_specHP_dealiasing) // interpolate spectral/hp gradient
                                             // field
                    {
                        Array<OneD, NekDouble> Outarray(nPointsTot);
                        timer.Start();
                        fields[0]->PhysInterp1DScaled(OneDptscale, grad0, wkSp);
                        timer.Stop();
                        timer.AccumulateRegion("Interp1DScaled");
                        Vmath::Vmul(nPointsTot, wkSp, 1, AdvVel[0], 1, Outarray,
                                    1);
 
                        timer.Start();
                        fields[0]->PhysInterp1DScaled(OneDptscale, grad1, wkSp);
                        timer.Stop();
                        timer.AccumulateRegion("Interp1DScaled");
                        Vmath::Vvtvp(nPointsTot, wkSp, 1, AdvVel[1], 1,
                                     Outarray, 1, Outarray, 1);
 
                        timer.Start();
                        fields[0]->PhysInterp1DScaled(OneDptscale, grad2, wkSp);
                        timer.Stop();
                        timer.AccumulateRegion("Interp1DScaled");
                        Vmath::Vvtvp(nPointsTot, wkSp, 1, AdvVel[2], 1,
                                     Outarray, 1, Outarray, 1);
                        timer.Start();
                        fields[0]->PhysGalerkinProjection1DScaled(
                            OneDptscale, Outarray, outarray[n]);
                        timer.Stop();
                        timer.AccumulateRegion("GalerinProject");
                    }
                    else
                    {
                        Vmath::Vmul(nPointsTot, grad0, 1, AdvVel[0], 1,
                                    outarray[n], 1);
                        Vmath::Vvtvp(nPointsTot, grad1, 1, AdvVel[1], 1,
                                     outarray[n], 1, outarray[n], 1);
                        Vmath::Vvtvp(nPointsTot, grad2, 1, AdvVel[2], 1,
                                     outarray[n], 1, outarray[n], 1);
                    }
 
                    if (fields[0]->GetWaveSpace() == true)
                    {
                        fields[0]->HomogeneousFwdTrans(outarray[n],
                                                       outarray[n]);
                    }
                }
            }
            break;
        default:
            ASSERTL0(false, "dimension unknown");
    }
 
    for (int n = 0; n < nConvectiveFields; ++n)
    {
        Vmath::Neg(nqtot, outarray[n], 1);
    }
}
 
} // namespace Nektar