Numerical hydrodynamics in special relativity

Abstract

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 obtained with different numerical SRHD methods are compared, and two astrophysical applications of SRHD flows are discussed. An evaluation of the various numerical methods is given and future developments are analyzed.

submitted to the electronic journal Living Reviews in Relativity, at http://www.livingreviews.org 72 pages, 14 postscript figures included

References in corpus (7)

• Jets in GRBs
• Observation of contemporaneous optical radiation from a gamma-ray burst
• Relativistic Jets from Collapsars
• GENESIS: A high-resolution code for 3D relativistic hydrodynamics
• Observations of GRB 990123 by the Compton Gamma-Ray Observatory
• High--Resolution 3D Simulations of Relativistic Jets
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