APELaxFriedrichsSolver.cpp

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///////////////////////////////////////////////////////////////////////////////
//
// File: APELaxFriedrichsSolver.cpp
//
// For more information, please see: http://www.nektar.info
//
// The MIT License
//
// Copyright (c) 2015 Kilian Lackhove
// 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: Lax-Friedrichs solver for the APE equations.
//
///////////////////////////////////////////////////////////////////////////////
 
#include <AcousticSolver/RiemannSolvers/APELaxFriedrichsSolver.h>
 
namespace Nektar
{
 
std::string APELaxFriedrichsSolver::solverName =
    SolverUtils::GetRiemannSolverFactory().RegisterCreatorFunction(
        "APELaxFriedrichs", APELaxFriedrichsSolver::create,
        "Lax-Friedrichs Solver");
 
/**
 *
 */
APELaxFriedrichsSolver::APELaxFriedrichsSolver(
    const LibUtilities::SessionReaderSharedPtr &pSession)
    : AcousticSolver(pSession)
{
}
 
/**
 * @brief Lax-Friedrichs Riemann solver
 *
 * @param pL     Perturbation pressure left state
 * @param rhoL   Perturbation density left state
 * @param pR     Perturbation pressure right state
 * @param rhoR   Perturbation density right state
 * @param uL     x perturbation velocity component left state
 * @param uR     x perturbation velocity component right state
 * @param vL     y perturbation velocity component left state
 * @param vR     y perturbation velocity component right state
 * @param wL     z perturbation velocity component left state
 * @param wR     z perturbation velocity component right state
 * @param c0sqL  Base pressure left state
 * @param c0sqR  Base pressure right state
 * @param rho0L  Base density left state
 * @param rho0R  Base density right state
 * @param u0L    Base x velocity component left state
 * @param u0R    Base x velocity component right state
 * @param v0L    Base y velocity component left state
 * @param v0R    Base y velocity component right state
 * @param w0L    Base z velocity component left state
 * @param w0R    Base z velocity component right state
 * @param pF     Computed Riemann flux for perturbation pressure
 * @param rhoF   Computed Riemann flux for perturbation density
 * @param uF     Computed Riemann flux for x perturbation velocity component
 * @param vF     Computed Riemann flux for y perturbation velocity component
 * @param wF     Computed Riemann flux for z perturbation velocity component
 */
void APELaxFriedrichsSolver::v_PointSolve(
    NekDouble pL, [[maybe_unused]] NekDouble rhoL, NekDouble uL, NekDouble vL,
    NekDouble wL, NekDouble pR, [[maybe_unused]] NekDouble rhoR, NekDouble uR,
    NekDouble vR, NekDouble wR, NekDouble c0sqL, NekDouble rho0L, NekDouble u0L,
    NekDouble v0L, NekDouble w0L, NekDouble c0sqR, NekDouble rho0R,
    NekDouble u0R, NekDouble v0R, NekDouble w0R, NekDouble &pF,
    [[maybe_unused]] NekDouble &rhoF, NekDouble &uF, NekDouble &vF,
    NekDouble &wF)
{
    // Speed of sound
    NekDouble cL = sqrt(c0sqL);
    NekDouble cR = sqrt(c0sqR);
 
    // max absolute eigenvalue of the jacobian of F_n1
    NekDouble a_1_max = 0;
    a_1_max           = std::max(a_1_max, std::abs(u0L - cL));
    a_1_max           = std::max(a_1_max, std::abs(u0R - cR));
    a_1_max           = std::max(a_1_max, std::abs(u0L + cL));
    a_1_max           = std::max(a_1_max, std::abs(u0R + cR));
 
    NekDouble pFL = rho0L * c0sqL * uL + pL * u0L;
    NekDouble uFL = pL / rho0L + u0L * uL + v0L * vL + w0L * wL;
    NekDouble vFL = 0;
    NekDouble wFL = 0;
 
    NekDouble pFR = rho0R * c0sqR * uR + pR * u0R;
    NekDouble uFR = pR / rho0R + u0R * uR + v0R * vR + w0R * wR;
    NekDouble vFR = 0;
    NekDouble wFR = 0;
 
    // assemble the face-normal fluxes
    pF = 0.5 * (pFL + pFR - a_1_max * (pR - pL));
    uF = 0.5 * (uFL + uFR - a_1_max * (uR - uL));
    vF = 0.5 * (vFL + vFR - a_1_max * (vR - vL));
    wF = 0.5 * (wFL + wFR - a_1_max * (wR - wL));
}
 
} // namespace Nektar