TY - JOUR
T1 - Genuinely Multidimensional Physical-Constraints-Preserving Finite Volume Schemes for the Special Relativistic Hydrodynamics
AU - Ling , Dan
AU - Tang , Huazhong
JO - Communications in Computational Physics
VL - 4
SP - 955
EP - 992
PY - 2023
DA - 2023/11
SN - 34
DO - http://doi.org/10.4208/cicp.OA-2023-0065
UR - https://global-sci.org/intro/article_detail/cicp/22128.html
KW - Genuinely multidimensional schemes, HLL, physical-constraint-preserving property, high order accuracy, special relativistic hydrodynamics.
AB - <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>