Genuinely Multidimensional Physical-Constraints-Preserving FiniteVolume Schemes for the Special Relativistic Hydrodynamics  

作　　者：Dan Ling Huazhong Tang 

机构地区：[1]School of Mathematics and Statistics,Xi’an Jiaotong University,Xi’an 710049,P.R.China [2]Nanchang Hangkong University,Jiangxi Province,Nanchang 330063,P.R.China [3]Center for Applied Physics and Technology,HEDPS and LMAM,School of Mathematical Sciences,Peking University,Beijing 100871,P.R.China

出　　处：《Communications in Computational Physics》2023年第9期955-992,共38页计算物理通讯（英文）

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);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).

摘　　要：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.

关 键 词：Genuinely multidimensional schemes HLL physical-constraint-preserving property high order accuracy special relativistic hydrodynamics 

分 类 号：O17[理学—数学]