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首页> 外文期刊>Journal of Computational Physics >Physical-constraints-preserving Lagrangian finite volume schemes for one- and two-dimensional special relativistic hydrodynamics
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Physical-constraints-preserving Lagrangian finite volume schemes for one- and two-dimensional special relativistic hydrodynamics

机译：用于一维特殊相对论流体动力学的物理限制 - 保留拉格朗日有限音量方案

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This paper studies the physical-constraints-preserving (PCP) Lagrangian finite volume schemes for one-and two-dimensional special relativistic hydrodynamic (RHD) equations. First, the PCP property (i.e. preserving the positivity of the rest-mass density and the pressure and the bound of the velocity) is proved for the first-order accurate Lagrangian scheme with the HLLC Riemann solver and forward Euler time discretization. The key is that the intermediate states in the HLLC Riemann solver are shown to be admissible or PCP when the HLLC wave speeds are estimated suitably. Then, the higher-order accurate schemes are proposed by using the high-order accurate strong stability preserving (SSP) time discretizations and the scaling PCP limiter as well as the WENO reconstruction. Finally, several one-and two-dimensional numerical experiments are conducted to demonstrate the accuracy and the effectiveness of the PCP Lagrangian schemes in solving the special RHD problems involving strong discontinuities, or large Lorentz factor, or low rest-mass density or low pressure, etc. (C) 2019 Elsevier Inc. All rights reserved.
机译：研究了一维和二维特殊相对论流体力学（RHD）方程的保物理约束（PCP）拉格朗日有限体积格式。首先，利用HLLC Riemann解算器和前向Euler时间离散，证明了一阶精确拉格朗日格式的PCP性质（即保持静止质量密度、压力和速度界的正性）。关键在于，当适当估计HLLC波速时，HLLC Riemann解算器中的中间态被证明是可容许的或PCP。然后，利用高精度强稳定性保持（SSP）时间离散和尺度PCP限制器以及WENO重构，提出了高精度格式。最后，进行了几个一维和二维数值实验，以证明PCP拉格朗日格式在解决涉及强不连续性、大洛伦兹因子、低静止质量密度或低压等特殊RHD问题时的准确性和有效性。（C）2019 Elsevier Inc.版权所有。

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