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Numerical Hydrodynamics in Special Relativity.
Living Reviews in Relativity ( IF 40.6 ) Pub Date : 2003-12-19 , DOI: 10.12942/lrr-2003-7
José Maria Martí 1 , Ewald Müller 2
Affiliation  

This review is concerned with a discussion of numerical methods for the solution of the equations of special relativistic hydrodynamics (SRHD). Particular emphasis is put on a comprehensive review of the application of high-resolution shock-capturing methods in SRHD. Results of a set of demanding test bench simulations obtained with different numerical SRHD methods are compared. Three applications (astrophysical jets, gamma-ray bursts and heavy ion collisions) of relativistic flows are discussed. An evaluation of various SRHD methods is presented, and future developments in SRHD are analyzed involving extension to general relativistic hydrodynamics and relativistic magneto-hydrodynamics. The review further provides FORTRAN programs to compute the exact solution of a 1D relativistic Riemann problem with zero and nonzero tangential velocities, and to simulate 1D relativistic flows in Cartesian Eulerian coordinates using the exact SRHD Riemann solver and PPM reconstruction. ELECTRONIC SUPPLEMENTARY MATERIAL Supplementary material is available for this article at 10.12942/lrr-2003-7 and is accessible for authorized users.

中文翻译:

狭义相对论中的数值流体动力学。

本综述讨论了求解狭义相对论流体动力学 (SRHD) 方程的数值方法。特别强调对高分辨率冲击捕获方法在 SRHD 中的应用进行全面审查。比较了使用不同数值 SRHD 方法获得的一组要求苛刻的测试台模拟的结果。讨论了相对论流的三种应用(天体物理喷流、伽马射线爆发和重离子碰撞)。介绍了对各种 SRHD 方法的评估,并分析了 SRHD 的未来发展,包括扩展到广义相对论流体动力学和相对论磁流体动力学。该评论进一步提供了 FORTRAN 程序来计算具有零和非零切向速度的一维相对论黎曼问题的精确解,并使用精确的 SRHD 黎曼求解器和 PPM 重建来模拟笛卡尔欧拉坐标中的一维相对论流。电子补充材料 可在 10.12942/lrr-2003-7 获得本文的补充材料,授权用户可以访问。
更新日期:2019-11-01
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