A fast numerical scheme for causal relativistic hydrodynamics with dissipation

JOURNAL OF COMPUTATIONAL PHYSICS

卷:230

Article

Takamoto, Makoto¹  Inutsuka, Shu-ichiro² 

[1] Kyoto Univ, Dept Phys, Kyoto 6068502, Japan

[2] Nagoya Univ, Dept Phys, Nagoya, Aichi 4648602, Japan

关键词: Relativistic hydrodynamics;    Relativistic dissipation;    Relativity;    Kinetic theory;    Methods: numerical;   

DOI  :  10.1016/j.jcp.2011.05.030

来源: Elsevier

【 摘 要 】

In this paper, we develop a stable and fast numerical scheme for relativistic dissipative hydrodynamics based on Israel-Stewart theory. Israel-Stewart theory is a stable and causal description of dissipation in relativistic hydrodynamics although it includes relaxation process with the timescale for collision of constituent particles, which introduces stiff equations and makes practical numerical calculation difficult. In our new scheme, we use Strang's splitting method, and use the piecewise exact solutions for solving the extremely short timescale problem. In addition, since we split the calculations into inviscid step and dissipative step, Riemann solver can be used for obtaining numerical flux for the inviscid step. The use of Riemann solver enables us to capture shocks very accurately. Simple numerical examples are shown. The present scheme can be applied to various high energy phenomena of astrophysics and nuclear physics. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free