A physical-constraints-preserving genuinely multidimensional HLL scheme for the special relativistic hydrodynamics

2020/11/02 by Dan Ling, Ling, Dan, Huazhong Tang +1
Engineering · Mathematics · Earth and Planetary Sciences · #Computational Fluid Dynamics and Aerodynamics #Gas Dynamics and Kinetic Theory #Tropical and Extratropical Cyclones Research

paper · pdf · doi:10.48550/arxiv.2011.00906

Abstract

This paper develops the genuinely multidimensional HLL Riemann solver and finite volume scheme for the two-dimensional special relativistic hydrodynamic equations on Cartesian meshes and studies its physical-constraint-preserving (PCP) property. Several numerical results demonstrate the accuracy, the performance and the resolution of the shock waves and the genuinely multi-dimensional wave structures of the proposed PCP scheme.

Citations

• On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
• On Godunov-Type Methods for Gas Dynamics

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