Computes 1D fluxes using the Harten-Lax-van Leer (HLLE) Riemann solver. More...
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Functions | |
| void | HLLE_FUNCTION (const Cons1DS Ul, const Cons1DS Ur, const Prim1DS Wl, const Prim1DS Wr, const Real Bxi, Cons1DS *pFlux) |
| HLLE flux function wrapper. | |
Detailed Description
Computes 1D fluxes using the Harten-Lax-van Leer (HLLE) Riemann solver.
PURPOSE: Computes 1D fluxes using the Harten-Lax-van Leer (HLLE) Riemann solver. This flux is very diffusive, especially for contacts, and so it is not recommended for use in applications. However, as shown by Einfeldt et al.(1991), it is positively conservative, so it is a useful option when other approximate solvers fail and/or when extra dissipation is needed.
REFERENCES:
- E.F. Toro, "Riemann Solvers and numerical methods for fluid dynamics", 2nd ed., Springer-Verlag, Berlin, (1999) chpt. 10.
- Einfeldt et al., "On Godunov-type methods near low densities", JCP, 92, 273 (1991)
- A. Harten, P. D. Lax and B. van Leer, "On upstream differencing and Godunov-type schemes for hyperbolic conservation laws", SIAM Review 25, 35-61 (1983).
- B. Einfeldt, "On Godunov-type methods for gas dynamics", SIAM J. Numerical Analysis 25, 294-318 (1988).
CONTAINS PUBLIC FUNCTIONS:
- fluxes() - all Riemann solvers in Athena must have this function name and use the same argument list as defined in rsolvers/prototypes.h
Definition in file hlle.c.
Function Documentation
| void HLLE_FUNCTION | ( | const Cons1DS | Ul, | |
| const Cons1DS | Ur, | |||
| const Prim1DS | Wl, | |||
| const Prim1DS | Wr, | |||
| const Real | Bxi, | |||
| Cons1DS * | pFlux | |||
| ) |
HLLE flux function wrapper.
- HLLE_FUNCTION=fluxes if HLLE_FLUX defined
- HLLE_FUNCTION=hlle_flux if ROE_FLUX defined Input Arguments:
- Bxi = B in direction of 1D slice at cell interface
- Ul,Ur = L/R-states of CONSERVED variables at cell interface Output Arguments:
- pFlux = pointer to fluxes of CONSERVED variables at cell interface
Definition at line 62 of file hlle.c.
References Cons1DS::By, Prim1DS::By, Cons1DS::Bz, Prim1DS::Bz, Cons1DS::d, Prim1DS::d, Cons1DS::E, esys_roe_adb_hyd(), esys_roe_adb_mhd(), esys_roe_iso_hyd(), esys_roe_iso_mhd(), Gamma, Iso_csound2, Cons1DS::Mx, Cons1DS::My, Cons1DS::Mz, n, Prim1DS::P, Cons1DS::Pflux, Prim1DS::r, Cons1DS::s, Prim1DS::Vx, Prim1DS::Vy, and Prim1DS::Vz.
