A physical-constraints-preserving genuinely multidimensional HLL scheme for the special relativistic hydrodynamics
D Ling, H Tang - arXiv preprint arXiv:2011.00906, 2020 - arxiv.org
D Ling, H Tang
arXiv preprint arXiv:2011.00906, 2020•arxiv.orgThis 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.
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.
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.
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