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...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.展开更多
基金supported by the National Key R&D Program of China(Project Number 2020YFA0712000)Moreover,D.Ling would like to acknowledge support by the National Natural Science Foundation of China(Grant No.12101486)+1 种基金the China Postdoctoral Science Foundation(Grant No.2020M683446)the High-performance Computing Platform at Xi’an Jiaotong University,H.Z.Tang would like to acknowledge support by the National Natural Science Foundation of China(Grant No.12171227&12288101).
文摘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.
