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A physical-constraints-preserving genuinely multidimensional HLL scheme for the special relativistic hydrodynamics
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.Comment: 28 pages, 11 figure