Equation of State in Numerical Relativistic Hydrodynamics

Details Equation of State in Numerical Relativistic Hydrodynamics Equation of State in Numerical Relativistic Hydrodynamics

2006-05-22

arxiv.org/abs/astro-ph/0605550v1

Astronomy and Astrophysics

Astrophysics

To appear in the ApJS September 2006, v166n1 issue. Pdf with full resolution figures can be downloaded from http://canopus.c

Scientific paper

10.1086/505937

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.

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