• Corpus ID: 226226829

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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