LinearHLLSolver.cpp

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///////////////////////////////////////////////////////////////////////////////
//
// File: LinearHLLSolver.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
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// DEALINGS IN THE SOFTWARE.
//
// Description: HLL Riemann solver for the Linear Shallow Water Equations.
//              Only valid for constant depth
//
///////////////////////////////////////////////////////////////////////////////
 
#include <ShallowWaterSolver/RiemannSolvers/LinearHLLSolver.h>
 
namespace Nektar
{
    std::string LinearHLLSolver::solverName =
        SolverUtils::GetRiemannSolverFactory().RegisterCreatorFunction(
            "LinearHLL",
            LinearHLLSolver::create,
            "Linear HLL Riemann solver");
 
    LinearHLLSolver::LinearHLLSolver(
        const LibUtilities::SessionReaderSharedPtr& pSession)
        : LinearSWESolver(pSession)
    {
 
    }
 
    /**
     * @brief HLL Riemann solver for the linear Shallow Water Equations
     *
     * @param etaL   Free surface elevation left state.
     * @param etaR   Free surface elevation right state.  
     * @param uL     x-velocity  left state.  
     * @param uR     x-velocity  right state.  
     * @param vL     y-velocity  left state.  
     * @param vR     y-velocity  right state. 
     * @param dL     still water depth component left state.  
     * @param dR     still water depth component right state. 
     * @param etaf   Computed Riemann flux for continuity.
     * @param uf     Computed Riemann flux for x-momentum component 
     * @param vf     Computed Riemann flux for y-momentum component 
     */
    void LinearHLLSolver::v_PointSolve(
        NekDouble  etaL, NekDouble  uL, NekDouble  vL, NekDouble dL,
        NekDouble  etaR, NekDouble  uR, NekDouble  vR, NekDouble dR,
        NekDouble &etaf, NekDouble &uf, NekDouble &vf)
    {        
        static NekDouble g = m_params["gravity"]();
 
        ASSERTL0(dL == dR, "not constant depth in LinearHLL");
        
        // Left and right wave speeds
        NekDouble cL = sqrt(g * dL);
        NekDouble cR = sqrt(g * dR);
    
        NekDouble SL = uL - cL;
        NekDouble SR = uR + cR;
    
        if (SL >= 0)
          {
            etaf = dL * uL;
            uf   = g * etaL;
            vf   = 0.0;
          }
        else if (SR <= 0)
          {
            etaf = dR * uR;
            uf   = g * etaR;
            vf   = 0.0;
          }
        else 
          {
            etaf = (SR * dL * uL - SL * dR * uR + 
                  SL * SR * (etaR - etaL)) / (SR - SL);
            uf  = (SR * g * etaL - SL * g * etaR + 
                   SL * SR * (uR - uL)) / (SR - SL);
            vf  = (SL * SR * (vR - vL)) / (SR - SL);
          }
    }
}