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

@article{Ling2020APG, title={A physical-constraints-preserving genuinely multidimensional HLL scheme for the special relativistic hydrodynamics}, author={Dan Ling and Huazhong Tang}, journal={ArXiv}, year={2020}, volume={abs/2011.00906} }

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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