AdjointAdvection.cpp

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///////////////////////////////////////////////////////////////////////////////
//
// File: AdjointAdvection.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
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// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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//
// Description: Evaluation of the adjoint advective term
//
///////////////////////////////////////////////////////////////////////////////
 
#include <IncNavierStokesSolver/AdvectionTerms/AdjointAdvection.h>
 
namespace Nektar
{
 
std::string AdjointAdvection::className =
    SolverUtils ::GetAdvectionFactory().RegisterCreatorFunction(
        "Adjoint", AdjointAdvection::create);
 
/**
 *
 */
AdjointAdvection::AdjointAdvection() : LinearisedAdvection()
{
}
 
void AdjointAdvection::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,
    [[maybe_unused]] const Array<OneD, Array<OneD, NekDouble>> &pFwd,
    [[maybe_unused]] const Array<OneD, Array<OneD, NekDouble>> &pBwd)
{
    ASSERTL1(nConvectiveFields == inarray.size(),
             "Number of convective fields and Inarray are not compatible");
 
    int nPointsTot  = fields[0]->GetNpoints();
    int ndim        = advVel.size();
    int nBaseDerivs = (m_halfMode || m_singleMode) ? 2 : m_spacedim;
    int nDerivs     = (m_halfMode) ? 2 : m_spacedim;
 
    Array<OneD, Array<OneD, NekDouble>> velocity(ndim);
    int nScalar = nConvectiveFields - ndim;
    Array<OneD, Array<OneD, NekDouble>> scalar(nScalar);
 
    for (int i = 0; i < ndim; ++i)
    {
        if (fields[i]->GetWaveSpace() && !m_singleMode && !m_halfMode)
        {
            velocity[i] = Array<OneD, NekDouble>(nPointsTot, 0.0);
            fields[i]->HomogeneousBwdTrans(nPointsTot, advVel[i], velocity[i]);
        }
        else
        {
            velocity[i] = advVel[i];
        }
    }
    if (nScalar > 0) // add for temperature field
    {
        for (int jj = ndim; jj < nConvectiveFields; ++jj)
        {
            scalar[jj - ndim] = inarray[jj];
        }
    }
 
    Array<OneD, Array<OneD, NekDouble>> grad(nDerivs);
    for (int i = 0; i < nDerivs; ++i)
    {
        grad[i] = Array<OneD, NekDouble>(nPointsTot);
    }
 
    // Evaluation of the base flow for periodic cases
    if (m_slices > 1)
    {
        for (int i = 0; i < ndim; ++i)
        {
            UpdateBase(m_interp[i], m_baseflow[i], m_period - time);
            UpdateGradBase(i, fields[i]);
        }
    }
 
    // Evaluate the linearised advection term
    for (int i = 0; i < nConvectiveFields; ++i)
    {
        // Calculate gradient
        switch (nDerivs)
        {
            case 1:
            {
                fields[i]->PhysDeriv(inarray[i], grad[0]);
            }
            break;
            case 2:
            {
                fields[i]->PhysDeriv(inarray[i], grad[0], grad[1]);
            }
            break;
            case 3:
            {
                fields[i]->PhysDeriv(inarray[i], grad[0], grad[1], grad[2]);
                if (m_multipleModes)
                {
                    // transform gradients into physical Fourier space
                    fields[i]->HomogeneousBwdTrans(nPointsTot, grad[0],
                                                   grad[0]);
                    fields[i]->HomogeneousBwdTrans(nPointsTot, grad[1],
                                                   grad[1]);
                    fields[i]->HomogeneousBwdTrans(nPointsTot, grad[2],
                                                   grad[2]);
                }
            }
            break;
        }
 
        // Momentum field advection
        if (i < ndim)
        {
            // Calculate -U_j du'_i/dx_j
            Vmath::Vmul(nPointsTot, grad[0], 1, m_baseflow[0], 1, outarray[i],
                        1);
            for (int j = 1; j < nDerivs; ++j)
            {
                Vmath::Vvtvp(nPointsTot, grad[j], 1, m_baseflow[j], 1,
                             outarray[i], 1, outarray[i], 1);
            }
            Vmath::Neg(nPointsTot, outarray[i], 1);
 
            // Add u'_j U_j/ dx_i
            int lim = (m_halfMode) ? 2 : ndim;
            if ((m_halfMode || m_singleMode) && i == 2)
            {
                lim = 0;
            }
            for (int j = 0; j < lim; ++j)
            {
                Vmath::Vvtvp(nPointsTot, m_gradBase[j * nBaseDerivs + i], 1,
                             velocity[j], 1, outarray[i], 1, outarray[i], 1);
            }
            // Add Tprime*Grad_Tbase in u, v equations
            if (nScalar > 0 && i < ndim)
            {
                for (int s = 0; s < nScalar; ++s)
                {
                    Vmath::Vvtvp(nPointsTot,
                                 m_gradBase[(ndim + s) * nBaseDerivs + i], 1,
                                 scalar[s], 1, outarray[i], 1, outarray[i], 1);
                }
            }
        }
        // Scalar Field Advection
        else
        {
            // Calculate -U_j du'_i/dx_j
            Vmath::Vmul(nPointsTot, grad[0], 1, m_baseflow[0], 1, outarray[i],
                        1);
            for (int j = 1; j < nDerivs; ++j)
            {
                Vmath::Vvtvp(nPointsTot, grad[j], 1, m_baseflow[j], 1,
                             outarray[i], 1, outarray[i], 1);
            }
            Vmath::Neg(nPointsTot, outarray[i], 1);
        }
 
        if (m_multipleModes)
        {
            fields[i]->HomogeneousFwdTrans(nPointsTot, outarray[i],
                                           outarray[i]);
        }
        Vmath::Neg(nPointsTot, outarray[i], 1);
    }
}
 
} // namespace Nektar