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 etc. as well as the genuinely multi-dimensional wave structures of our PCP finite volume schemes.

翻译：本文为卡尔提斯梅舍的二维特别相对性流体动力方程式开发了真正多维的HLL Riemann求解器,并研究了其物理约束性保护(PCP)财产。根据由此产生的HLLL求解器,提出了第一和高级精确的五氯苯酚有限量计划。在高级计划中,WENO重建、第三级准确的坚固性能保持时间分解和五氯苯酚通量限值。提供了若干数字结果,以证明冲击波等的准确性、性能和分辨率,以及我们五氯苯酚有限量计划的真正多维波结构。</s>