Nektar++
LEELaxFriedrichsSolver.cpp
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1///////////////////////////////////////////////////////////////////////////////
2//
3// File: LEELaxFriedrichsSolver.cpp
4//
5// For more information, please see: http://www.nektar.info
6//
7// The MIT License
8//
9// Copyright (c) 2015 Kilian Lackhove
10// Copyright (c) 2006 Division of Applied Mathematics, Brown University (USA),
11// Department of Aeronautics, Imperial College London (UK), and Scientific
12// Computing and Imaging Institute, University of Utah (USA).
13//
14// Permission is hereby granted, free of charge, to any person obtaining a
15// copy of this software and associated documentation files (the "Software"),
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25// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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31//
32// Description: Lax-Friedrichs solver for the LEE equations.
33//
34///////////////////////////////////////////////////////////////////////////////
35
37
38namespace Nektar
39{
40
43 "LEELaxFriedrichs", LEELaxFriedrichsSolver::create,
44 "Lax-Friedrichs Solver for LEE");
45
46/**
47 *
48 */
51 : LEESolver(pSession)
52{
53}
54
55/**
56 * @brief Lax-Friedrichs Riemann solver
57 *
58 * @param pL Perturbation pressure left state
59 * @param rhoL Perturbation density left state
60 * @param pR Perturbation pressure right state
61 * @param rhoR Perturbation density right state
62 * @param rhouL x perturbation velocity component left state
63 * @param rhouR x perturbation velocity component right state
64 * @param rhovL y perturbation velocity component left state
65 * @param rhovR y perturbation velocity component right state
66 * @param rhowL z perturbation velocity component left state
67 * @param rhowR z perturbation velocity component right state
68 * @param c0sqL Base pressure left state
69 * @param c0sqR Base pressure right state
70 * @param rho0L Base density left state
71 * @param rho0R Base density right state
72 * @param u0L Base x velocity component left state
73 * @param u0R Base x velocity component right state
74 * @param v0L Base y velocity component left state
75 * @param v0R Base y velocity component right state
76 * @param w0L Base z velocity component left state
77 * @param w0R Base z velocity component right state
78 * @param pF Computed Riemann flux for perturbation pressure
79 * @param rhoF Computed Riemann flux for perturbation density
80 * @param rhouF Computed Riemann flux for x perturbation velocity component
81 * @param rhovF Computed Riemann flux for y perturbation velocity component
82 * @param rhowF Computed Riemann flux for z perturbation velocity component
83 */
85 NekDouble pL, NekDouble rhoL, NekDouble rhouL, NekDouble rhovL,
86 NekDouble rhowL, NekDouble pR, NekDouble rhoR, NekDouble rhouR,
87 NekDouble rhovR, NekDouble rhowR, NekDouble c0sqL,
88 [[maybe_unused]] NekDouble rho0L, NekDouble u0L,
89 [[maybe_unused]] NekDouble v0L, [[maybe_unused]] NekDouble w0L,
90 NekDouble c0sqR, [[maybe_unused]] NekDouble rho0R, NekDouble u0R,
91 [[maybe_unused]] NekDouble v0R, [[maybe_unused]] NekDouble w0R,
92 NekDouble &pF, NekDouble &rhoF, NekDouble &rhouF, NekDouble &rhovF,
93 NekDouble &rhowF)
94{
95 // Speed of sound
96 NekDouble cL = sqrt(c0sqL);
97 NekDouble cR = sqrt(c0sqR);
98
99 // max absolute eigenvalue of the jacobian of F_n1
100 NekDouble a_1_max = 0;
101 a_1_max = std::max(a_1_max, std::abs(u0L - cL));
102 a_1_max = std::max(a_1_max, std::abs(u0R - cR));
103 a_1_max = std::max(a_1_max, std::abs(u0L + cL));
104 a_1_max = std::max(a_1_max, std::abs(u0R + cR));
105
106 NekDouble pFL = rhouL * c0sqL + u0L * pL;
107 NekDouble rhoFL = rhouL + rhoL * u0L;
108 NekDouble rhouFL = pL + rhouL * u0L;
109 NekDouble rhovFL = 0;
110 NekDouble rhowFL = 0;
111
112 NekDouble pFR = rhouR * c0sqR + u0R * pR;
113 NekDouble rhoFR = rhouR + rhoR * u0R;
114 NekDouble rhouFR = pR + rhouR * u0R;
115 NekDouble rhovFR = 0;
116 NekDouble rhowFR = 0;
117
118 // assemble the face-normal fluxes
119 pF = 0.5 * (pFL + pFR - a_1_max * (pR - pL));
120 rhoF = 0.5 * (rhoFL + rhoFR - a_1_max * (rhoR - rhoL));
121 rhouF = 0.5 * (rhouFL + rhouFR - a_1_max * (rhouR - rhouL));
122 rhovF = 0.5 * (rhovFL + rhovFR - a_1_max * (rhovR - rhovL));
123 rhowF = 0.5 * (rhowFL + rhowFR - a_1_max * (rhowR - rhowL));
124}
125
126} // namespace Nektar
static RiemannSolverSharedPtr create(const LibUtilities::SessionReaderSharedPtr &pSession)
void v_PointSolve(NekDouble pL, NekDouble rhoL, NekDouble rhouL, NekDouble rhovL, NekDouble rhowL, NekDouble pR, NekDouble rhoR, NekDouble rhouR, NekDouble rhovR, NekDouble rhowR, NekDouble c0sqL, NekDouble rho0L, NekDouble u0L, NekDouble v0L, NekDouble w0L, NekDouble c0sqR, NekDouble rho0R, NekDouble u0R, NekDouble v0R, NekDouble w0R, NekDouble &pF, NekDouble &rhoF, NekDouble &rhouF, NekDouble &rhovF, NekDouble &rhowF) override
Lax-Friedrichs Riemann solver.
LEELaxFriedrichsSolver(const LibUtilities::SessionReaderSharedPtr &pSession)
tKey RegisterCreatorFunction(tKey idKey, CreatorFunction classCreator, std::string pDesc="")
Register a class with the factory.
std::shared_ptr< SessionReader > SessionReaderSharedPtr
RiemannSolverFactory & GetRiemannSolverFactory()
double NekDouble
scalarT< T > abs(scalarT< T > in)
Definition: scalar.hpp:289
scalarT< T > sqrt(scalarT< T > in)
Definition: scalar.hpp:285