A physical-constraints-preserving genuinely multidimensional HLL scheme for the special relativistic hydrodynamics
Numerical Analysis
2020-11-03 v1 Numerical Analysis
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.
Keywords
Cite
@article{arxiv.2011.00906,
title = {A physical-constraints-preserving genuinely multidimensional HLL scheme for the special relativistic hydrodynamics},
author = {Dan Ling and Huazhong Tang},
journal= {arXiv preprint arXiv:2011.00906},
year = {2020}
}
Comments
28 pages, 11 figures