Equation of State in Numerical Relativistic Hydrodynamics
arXiv:astro-ph/0605550 · doi:10.1086/505937
Abstract
Relativistic temperature of gas raises the issue of the equation of state (EoS) in relativistic hydrodynamics. We study the EoS for numerical relativistic hydrodynamics, and propose a new EoS that is simple and yet approximates very closely the EoS of the single-component perfect gas in relativistic regime. We also discuss the calculation of primitive variables from conservative ones for the EoS's considered in the paper, and present the eigenstructure of relativistic hydrodynamics for a general EoS, in a way that they can be used to build numerical codes. Tests with a code based on the Total Variation Diminishing (TVD) scheme are presented to highlight the differences induced by different EoS's.
To appear in the ApJS September 2006, v166n1 issue. Pdf with full resolution figures can be downloaded from http://canopus.cnu.ac.kr/ryu/ryuetal.pdf
Cited by in corpus (6)
- PLUTO: a Numerical Code for Computational Astrophysics
- ECHO: an Eulerian Conservative High Order scheme for general relativistic magnetohydrodynamics and magnetodynamics
- Equation of State in Relativistic Magnetohydrodynamics: variable versus constant adiabatic index
- Generalized Relativistic Magnetohydrodynamic Equations for Pair and Electron-Ion Plasmas
- Hydrodynamic Interactions of Relativistic Extragalactic Jets with Dense Clouds
- Refining a relativistic, hydrodynamic solver: Admitting ultra-relativistic flows