Numerical hydrodynamics in special relativity

Astronomy and Astrophysics – Astrophysics

Scientific paper

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

Scientific paper

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.

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