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Equation of State in Numerical Relativistic Hydrodynamics

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arxiv astro-ph/0605550 v1 pith:KNMGBJEK submitted 2006-05-22 astro-ph

Dongsu Ryu (1) , Indranil Chattopadhyay (1) , Eunwoo Choi (2) ((1) Chungnam National University , Korea , (2) Georgia State University , USA) This is my paper · ORCID
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keywords relativistichydrodynamicsnumericalequationstateapproximatesbuildcalculation
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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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