RoeSolver.cpp

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///////////////////////////////////////////////////////////////////////////////
//
// File: RoeSolver.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: Roe Riemann solver.
//
///////////////////////////////////////////////////////////////////////////////
 
#include <CompressibleFlowSolver/RiemannSolvers/RoeSolver.h>
 
#include <LibUtilities/SimdLib/tinysimd.hpp>
 
namespace Nektar
{
 
std::string RoeSolver::solverName =
    SolverUtils::GetRiemannSolverFactory().RegisterCreatorFunction(
        "Roe", RoeSolver::create, "Roe Riemann solver");
 
RoeSolver::RoeSolver(const LibUtilities::SessionReaderSharedPtr &pSession)
    : CompressibleSolver(pSession)
{
    // m_pointSolve = false;
}
 
/// programmatic ctor
RoeSolver::RoeSolver() : CompressibleSolver()
{
    // m_pointSolve = false;
}
 
/**
 * @brief Roe Riemann solver.
 *
 * Stated equations numbers are from:
 *
 *   "Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical
 *   Introduction", E. F. Toro (3rd edition, 2009).
 *
 * We follow the algorithm prescribed following equation 11.70.
 *
 * @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 RoeSolver::v_PointSolve(double rhoL, double rhouL, double rhovL,
                             double rhowL, double EL, double rhoR, double rhouR,
                             double rhovR, double rhowR, double ER,
                             double &rhof, double &rhouf, double &rhovf,
                             double &rhowf, double &Ef)
{
    static NekDouble gamma = m_params["gamma"]();
 
    RoeKernel(rhoL, rhouL, rhovL, rhowL, EL, rhoR, rhouR, rhovR, rhowR, ER,
              rhof, rhouf, rhovf, rhowf, Ef, gamma);
}
 
/**
 *
 */
void RoeSolver::v_ArraySolve(
    const Array<OneD, const Array<OneD, NekDouble>> &fwd,
    const Array<OneD, const Array<OneD, NekDouble>> &bwd,
    Array<OneD, Array<OneD, NekDouble>> &flux)
{
    static auto gamma      = m_params["gamma"]();
    static size_t nVars    = fwd.size();
    static size_t spaceDim = nVars - 2;
 
    using namespace tinysimd;
    using vec_t = simd<NekDouble>;
 
    // get limit of vectorizable chunk
    size_t sizeScalar = fwd[0].size();
    size_t sizeVec    = (sizeScalar / vec_t::width) * vec_t::width;
 
    // SIMD loop
    size_t i = 0;
    for (; i < sizeVec; i += vec_t::width)
    {
        vec_t rhoL{}, rhouL{}, rhovL{}, rhowL{}, EL{};
        vec_t rhoR{}, rhouR{}, rhovR{}, rhowR{}, ER{};
 
        // load
        rhoL.load(&(fwd[0][i]), is_not_aligned);
        rhouL.load(&(fwd[1][i]), is_not_aligned);
        EL.load(&(fwd[spaceDim + 1][i]), is_not_aligned);
        rhoR.load(&(bwd[0][i]), is_not_aligned);
        rhouR.load(&(bwd[1][i]), is_not_aligned);
        ER.load(&(bwd[spaceDim + 1][i]), is_not_aligned);
 
        if (spaceDim == 2)
        {
            rhovL.load(&(fwd[2][i]), is_not_aligned);
            rhovR.load(&(bwd[2][i]), is_not_aligned);
        }
        else if (spaceDim == 3)
        {
            rhovL.load(&(fwd[2][i]), is_not_aligned);
            rhowL.load(&(fwd[3][i]), is_not_aligned);
            rhovR.load(&(bwd[2][i]), is_not_aligned);
            rhowR.load(&(bwd[3][i]), is_not_aligned);
        }
 
        vec_t rhof{}, rhouf{}, rhovf{}, rhowf{}, Ef{};
 
        RoeKernel(rhoL, rhouL, rhovL, rhowL, EL, rhoR, rhouR, rhovR, rhowR, ER,
                  rhof, rhouf, rhovf, rhowf, Ef, gamma);
 
        // store
        rhof.store(&(flux[0][i]), is_not_aligned);
        rhouf.store(&(flux[1][i]), is_not_aligned);
        Ef.store(&(flux[nVars - 1][i]), is_not_aligned);
        if (spaceDim == 2)
        {
            rhovf.store(&(flux[2][i]), is_not_aligned);
        }
        else if (spaceDim == 3)
        {
            rhovf.store(&(flux[2][i]), is_not_aligned);
            rhowf.store(&(flux[3][i]), is_not_aligned);
        }
 
    } // avx loop
 
    // spillover loop
    for (; i < sizeScalar; ++i)
    {
        NekDouble rhoL{}, rhouL{}, rhovL{}, rhowL{}, EL{};
        NekDouble rhoR{}, rhouR{}, rhovR{}, rhowR{}, ER{};
 
        // load
        rhoL  = fwd[0][i];
        rhouL = fwd[1][i];
        EL    = fwd[spaceDim + 1][i];
        rhoR  = bwd[0][i];
        rhouR = bwd[1][i];
        ER    = bwd[spaceDim + 1][i];
 
        if (spaceDim == 2)
        {
            rhovL = fwd[2][i];
            rhovR = bwd[2][i];
        }
        else if (spaceDim == 3)
        {
            rhovL = fwd[2][i];
            rhowL = fwd[3][i];
            rhovR = bwd[2][i];
            rhowR = bwd[3][i];
        }
 
        NekDouble rhof{}, rhouf{}, rhovf{}, rhowf{}, Ef{};
 
        RoeKernel(rhoL, rhouL, rhovL, rhowL, EL, rhoR, rhouR, rhovR, rhowR, ER,
                  rhof, rhouf, rhovf, rhowf, Ef, gamma);
 
        // store
        flux[0][i]         = rhof;
        flux[1][i]         = rhouf;
        flux[nVars - 1][i] = Ef;
        if (spaceDim == 2)
        {
            flux[2][i] = rhovf;
        }
        else if (spaceDim == 3)
        {
            flux[2][i] = rhovf;
            flux[3][i] = rhowf;
        }
 
    } // loop
}
 
} // namespace Nektar