CompressibleFlowSolver/RiemannSolvers/AverageSolver.cpp

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///////////////////////////////////////////////////////////////////////////////
//
// File: AverageSolver.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
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// DEALINGS IN THE SOFTWARE.
//
// Description: Average Riemann solver.
//
///////////////////////////////////////////////////////////////////////////////
 
#include <CompressibleFlowSolver/RiemannSolvers/AverageSolver.h>
 
using namespace std;
 
namespace Nektar
{
std::string AverageSolver::solverName =
    SolverUtils::GetRiemannSolverFactory().RegisterCreatorFunction(
        "Average", AverageSolver::create, "Average Riemann solver");
 
AverageSolver::AverageSolver(
    const LibUtilities::SessionReaderSharedPtr &pSession)
    : CompressibleSolver(pSession)
{
    m_pointSolve = false;
}
 
/**
 * @brief Average Riemann solver.
 *
 * @param rhoL      Density left state.
 * @param rhoR      Density right state.
 * @param rhouL     x-momentum component left state.
 * @param rhouR     x-momentum component right state.
 * @param rhovL     y-momentum component left state.
 * @param rhovR     y-momentum component right state.
 * @param rhowL     z-momentum component left state.
 * @param rhowR     z-momentum component right state.
 * @param EL        Energy left state.
 * @param ER        Energy right state.
 * @param rhof      Computed Riemann flux for density.
 * @param rhouf     Computed Riemann flux for x-momentum component
 * @param rhovf     Computed Riemann flux for y-momentum component
 * @param rhowf     Computed Riemann flux for z-momentum component
 * @param Ef        Computed Riemann flux for energy.
 */
void AverageSolver::v_ArraySolve(
    const Array<OneD, const Array<OneD, NekDouble>> &Fwd,
    const Array<OneD, const Array<OneD, NekDouble>> &Bwd,
    Array<OneD, Array<OneD, NekDouble>> &flux)
{
    size_t expDim = Fwd.size() - 2;
    size_t i, j;
 
    for (j = 0; j < Fwd[0].size(); ++j)
    {
        NekDouble tmp1 = 0.0, tmp2 = 0.0;
        Array<OneD, NekDouble> Ufwd(expDim);
        Array<OneD, NekDouble> Ubwd(expDim);
 
        for (i = 0; i < expDim; ++i)
        {
            Ufwd[i] = Fwd[i + 1][j] / Fwd[0][j];
            Ubwd[i] = Bwd[i + 1][j] / Bwd[0][j];
            tmp1 += Ufwd[i] * Fwd[i + 1][j];
            tmp2 += Ubwd[i] * Bwd[i + 1][j];
        }
 
        // Internal energy
        NekDouble eFwd = (Fwd[expDim + 1][j] - 0.5 * tmp1) / Fwd[0][j];
        NekDouble eBwd = (Bwd[expDim + 1][j] - 0.5 * tmp2) / Bwd[0][j];
        // Pressure
        NekDouble Pfwd = m_eos->GetPressure(Fwd[0][j], eFwd);
        NekDouble Pbwd = m_eos->GetPressure(Bwd[0][j], eBwd);
 
        // Compute the average flux
        flux[0][j]          = 0.5 * (Fwd[1][j] + Bwd[1][j]);
        flux[expDim + 1][j] = 0.5 * (Ufwd[0] * (Fwd[expDim + 1][j] + Pfwd) +
                                     Ubwd[0] * (Bwd[expDim + 1][j] + Pbwd));
 
        for (i = 0; i < expDim; ++i)
        {
            flux[i + 1][j] = 0.5 * (Fwd[0][j] * Ufwd[0] * Ufwd[i] +
                                    Bwd[0][j] * Ubwd[0] * Ubwd[i]);
        }
 
        // Add in pressure contribution to u field
        flux[1][j] += 0.5 * (Pfwd + Pbwd);
    }
}
} // namespace Nektar