@Article{CiCP-34-955,
author = {Ling , Dan and Tang , Huazhong},
title = {Genuinely Multidimensional Physical-Constraints-Preserving Finite Volume Schemes for the Special Relativistic Hydrodynamics},
journal = {Communications in Computational Physics},
year = {2023},
volume = {34},
number = {4},
pages = {955--992},
abstract = {<p style="text-align: justify;">This paper develops the genuinely multidimensional HLL Riemann solver
for the two-dimensional special relativistic hydrodynamic equations on Cartesian
meshes and studies its physical-constraint-preserving (PCP) property. Based on the
resulting HLL solver, the first- and high-order accurate PCP finite volume schemes are
proposed. In the high-order scheme, the WENO reconstruction, the third-order accurate strong-stability-preserving time discretizations and the PCP flux limiter are used.
Several numerical results are given to demonstrate the accuracy, performance and resolution of the shock waves and the genuinely multi-dimensional wave structures etc.
of our PCP finite volume schemes.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2023-0065},
url = {http://global-sci.org/intro/article_detail/cicp/22128.html}
}