DiffusionIP.h

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///////////////////////////////////////////////////////////////////////////////
//
// File: DiffusionIP.h
//
// 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).
//
// License for the specific language governing rights and limitations under
// 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: IP diffusion class.
//
///////////////////////////////////////////////////////////////////////////////
 
#ifndef NEKTAR_SOLVERUTILS_DIFFUSIONWEAKDG
#define NEKTAR_SOLVERUTILS_DIFFUSIONWEAKDG
 
#include <SolverUtils/Diffusion/Diffusion.h>
 
namespace Nektar::SolverUtils
{
class DiffusionIP : public Diffusion
{
public:
    static DiffusionSharedPtr create([[maybe_unused]] std::string diffType)
    {
        return DiffusionSharedPtr(new DiffusionIP());
    }
 
    static std::string type;
 
protected:
    DiffusionIP();
 
    void v_InitObject(
        LibUtilities::SessionReaderSharedPtr pSession,
        Array<OneD, MultiRegions::ExpListSharedPtr> pFields) override;
 
    void 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,
                   const Array<OneD, Array<OneD, NekDouble>> &pFwd,
                   const Array<OneD, Array<OneD, NekDouble>> &pBwd) override;
 
    void v_DiffuseCoeffs(
        const std::size_t nConvectiveFields,
        const Array<OneD, MultiRegions::ExpListSharedPtr> &fields,
        const Array<OneD, Array<OneD, NekDouble>> &inarray,
        Array<OneD, Array<OneD, NekDouble>> &outarray,
        const Array<OneD, Array<OneD, NekDouble>> &pFwd,
        const Array<OneD, Array<OneD, NekDouble>> &pBwd) override;
 
    void v_DiffuseVolumeFlux(
        const Array<OneD, MultiRegions::ExpListSharedPtr> &fields,
        const Array<OneD, Array<OneD, NekDouble>> &inarray,
        TensorOfArray3D<NekDouble> &qfields,
        TensorOfArray3D<NekDouble> &VolumeFlux,
        Array<OneD, int> &nonZeroIndex) override;
 
    void v_DiffuseTraceFlux(
        const Array<OneD, MultiRegions::ExpListSharedPtr> &fields,
        const Array<OneD, Array<OneD, NekDouble>> &inarray,
        TensorOfArray3D<NekDouble> &qfields,
        TensorOfArray3D<NekDouble> &VolumeFlux,
        Array<OneD, Array<OneD, NekDouble>> &TraceFlux,
        const Array<OneD, Array<OneD, NekDouble>> &pFwd,
        const Array<OneD, Array<OneD, NekDouble>> &pBwd,
        Array<OneD, int> &nonZeroIndex) override;
 
    void v_DiffuseCalcDerivative(
        const Array<OneD, MultiRegions::ExpListSharedPtr> &fields,
        const Array<OneD, Array<OneD, NekDouble>> &inarray,
        TensorOfArray3D<NekDouble> &qfield,
        const Array<OneD, Array<OneD, NekDouble>> &pFwd,
        const Array<OneD, Array<OneD, NekDouble>> &pBwd) override;
 
    const Array<OneD, const Array<OneD, NekDouble>> &v_GetTraceNormal() override
    {
        return m_traceNormals;
    }
 
private:
    NekDouble m_IPSymmFluxCoeff;
    NekDouble m_IP2ndDervCoeff;
    NekDouble m_IPPenaltyCoeff;
 
    Array<OneD, Array<OneD, NekDouble>> m_traceNormals;
    Array<OneD, Array<OneD, NekDouble>> m_traceAver;
    Array<OneD, Array<OneD, NekDouble>> m_traceJump;
    /// Workspace for v_Diffusion
    Array<OneD, Array<OneD, NekDouble>> m_wspDiff;
    /// Workspace for CallTraceNumFlux
    TensorOfArray3D<NekDouble> m_wspNumDerivBwd;
    TensorOfArray3D<NekDouble> m_wspNumDerivFwd;
 
    Array<OneD, NekDouble> m_tracBwdWeightAver;
    Array<OneD, NekDouble> m_tracBwdWeightJump;
    Array<OneD, NekDouble> m_traceNormDirctnElmtLength;
    Array<OneD, NekDouble> m_traceNormDirctnElmtLengthRecip;
    LibUtilities::SessionReaderSharedPtr m_session;
 
    /// Calculate the average of conservative variables on traces
    template <class T, typename = typename std::enable_if<
                           std::is_floating_point<T>::value ||
                           tinysimd::is_vector_floating_point<T>::value>::type>
    inline void ConsVarAve(const size_t nConvectiveFields, const T &Bweight,
                           const std::vector<T> &vFwd,
                           const std::vector<T> &vBwd, std::vector<T> &aver)
    {
        constexpr int nvelst = 1;
        int nEngy            = nConvectiveFields - 1;
        int nveled           = nEngy;
 
        T Fweight = 1.0 - Bweight;
        for (size_t v = 0; v < nEngy; ++v)
        {
            aver[v] = Fweight * vFwd[v] + Bweight * vBwd[v];
        }
 
        T LinternalEngy{};
        T RinternalEngy{};
        T AinternalEngy{};
        for (size_t j = nvelst; j < nveled; ++j)
        {
            LinternalEngy += vFwd[j] * vFwd[j];
            RinternalEngy += vBwd[j] * vBwd[j];
            AinternalEngy += aver[j] * aver[j];
        }
        LinternalEngy *= -0.5 / vFwd[0];
        RinternalEngy *= -0.5 / vBwd[0];
        LinternalEngy += vFwd[nEngy];
        RinternalEngy += vBwd[nEngy];
 
        aver[nEngy] = Fweight * LinternalEngy + Bweight * RinternalEngy;
        aver[nEngy] += AinternalEngy * (0.5 / aver[0]);
    }
 
    /// Get IP penalty factor based on order
    void GetPenaltyFactor(
        const Array<OneD, MultiRegions::ExpListSharedPtr> &fields,
        Array<OneD, NekDouble> &factor);
 
    void ConsVarAveJump(const std::size_t nConvectiveFields, const size_t npnts,
                        const Array<OneD, const Array<OneD, NekDouble>> &vFwd,
                        const Array<OneD, const Array<OneD, NekDouble>> &vBwd,
                        Array<OneD, Array<OneD, NekDouble>> &aver,
                        Array<OneD, Array<OneD, NekDouble>> &jump);
 
    /// Add symmetric flux integration to field (in coefficient space)
    void AddSymmFluxIntegralToCoeff(
        const std::size_t nConvectiveFields, const size_t nDim,
        const size_t nPts, const size_t nTracePts,
        const Array<OneD, MultiRegions::ExpListSharedPtr> &fields,
        const Array<OneD, const int> &nonZeroIndex,
        TensorOfArray3D<NekDouble> &tracflux,
        Array<OneD, Array<OneD, NekDouble>> &outarray);
 
    /// Add symmetric flux integration to field (in physical space)
    void AddSymmFluxIntegralToPhys(
        const std::size_t nConvectiveFields, const size_t nDim,
        const size_t nPts, const size_t nTracePts,
        const Array<OneD, MultiRegions::ExpListSharedPtr> &fields,
        const Array<OneD, const int> &nonZeroIndex,
        TensorOfArray3D<NekDouble> &tracflux,
        Array<OneD, Array<OneD, NekDouble>> &outarray);
 
    /// Calculate symmetric flux on traces
    void CalcTraceSymFlux(
        const std::size_t nConvectiveFields, const size_t nDim,
        const Array<OneD, Array<OneD, NekDouble>> &solution_Aver,
        Array<OneD, Array<OneD, NekDouble>> &solution_jump,
        Array<OneD, int> &nonZeroIndexsymm,
        Array<OneD, Array<OneD, Array<OneD, NekDouble>>> &traceSymflux);
 
    void AddDiffusionSymmFluxToCoeff(
        const std::size_t nConvectiveFields,
        const Array<OneD, MultiRegions::ExpListSharedPtr> &fields,
        const Array<OneD, Array<OneD, NekDouble>> &inarray,
        TensorOfArray3D<NekDouble> &qfield,
        TensorOfArray3D<NekDouble> &VolumeFlux,
        Array<OneD, Array<OneD, NekDouble>> &outarray,
        const Array<OneD, Array<OneD, NekDouble>> &pFwd,
        const Array<OneD, Array<OneD, NekDouble>> &pBwd);
 
    void AddDiffusionSymmFluxToPhys(
        const std::size_t nConvectiveFields,
        const Array<OneD, MultiRegions::ExpListSharedPtr> &fields,
        const Array<OneD, Array<OneD, NekDouble>> &inarray,
        TensorOfArray3D<NekDouble> &qfield,
        TensorOfArray3D<NekDouble> &VolumeFlux,
        Array<OneD, Array<OneD, NekDouble>> &outarray,
        const Array<OneD, Array<OneD, NekDouble>> &pFwd,
        const Array<OneD, Array<OneD, NekDouble>> &pBwd);
 
    /// Calculate symmetric flux on traces interface
    void DiffuseTraceSymmFlux(
        const std::size_t nConvectiveFields,
        const Array<OneD, MultiRegions::ExpListSharedPtr> &fields,
        const Array<OneD, Array<OneD, NekDouble>> &inarray,
        TensorOfArray3D<NekDouble> &qfield,
        TensorOfArray3D<NekDouble> &VolumeFlux,
        TensorOfArray3D<NekDouble> &SymmFlux,
        const Array<OneD, Array<OneD, NekDouble>> &pFwd,
        const Array<OneD, Array<OneD, NekDouble>> &pBwd,
        Array<OneD, int> &nonZeroIndex);
 
    /// Calculate numerical flux on traces
    void CalcTraceNumFlux(
        const NekDouble PenaltyFactor2,
        const Array<OneD, MultiRegions::ExpListSharedPtr> &fields,
        const Array<OneD, Array<OneD, NekDouble>> &inarray,
        const TensorOfArray3D<NekDouble> &qfield,
        const Array<OneD, Array<OneD, NekDouble>> &vFwd,
        const Array<OneD, Array<OneD, NekDouble>> &vBwd,
        Array<OneD, int> &nonZeroIndexflux,
        TensorOfArray3D<NekDouble> &traceflux,
        Array<OneD, Array<OneD, NekDouble>> &solution_Aver,
        Array<OneD, Array<OneD, NekDouble>> &solution_jump);
 
    /// Add second derivative term to trace jump (for DDG scheme)
    void AddSecondDerivToTrace(
        const std::size_t nConvectiveFields, const size_t nDim,
        const size_t nPts, const size_t nTracePts,
        const NekDouble PenaltyFactor2,
        const Array<OneD, MultiRegions::ExpListSharedPtr> &fields,
        const TensorOfArray3D<NekDouble> &qfield,
        TensorOfArray3D<NekDouble> &numDerivFwd,
        TensorOfArray3D<NekDouble> &numDerivBwd);
 
    void ApplyFluxBndConds(
        const int nConvectiveFields,
        const Array<OneD, MultiRegions::ExpListSharedPtr> &fields,
        Array<OneD, Array<OneD, NekDouble>> &flux);
};
} // namespace Nektar::SolverUtils
 
#endif