Vol. 2 (1999) > lrr-1999-3

doi: 10.12942/lrr-1999-3
Living Rev. Relativity 2 (1999), 3

Numerical Hydrodynamics in Special Relativity

1 Departamento de Astronomía y Astrofísica, Universidad de Valencia, 46100 Burjassot (Valencia), Spain
2 Max-Planck-Institut für Astrophysik, Karl-Schwarzschild-Str. 1, D-85748 Garching, Germany

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Article 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.


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Article Citation

Since a Living Reviews in Relativity article may evolve over time, please cite the access <date>, which uniquely identifies the version of the article you are referring to:

José Maria Martí and Ewald Müller,
"Numerical Hydrodynamics in Special Relativity",
Living Rev. Relativity 2,  (1999),  3. URL (cited on <date>):

Article History

ORIGINAL http://www.livingreviews.org/lrr-1999-3
Title Numerical Hydrodynamics in Special Relativity
Author José Maria Martí / Ewald Müller
Date accepted 10 November 1999, published 15 December 1999
UPDATE http://www.livingreviews.org/lrr-2003-7
Title Numerical Hydrodynamics in Special Relativity
Author José Maria Martí / Ewald Müller
Date accepted 15 December 2003, published 19 December 2003
Changes Article revision.
Section 1: reorganized and slightly modified
Section 2.3: completely changed to discuss the exact solution of the Riemann problem in the more general case of arbitrary tangential velocities; Fig. 2 replaced; Figs. 3, 4 and Table 1: new
Section 6.2.1: discussion expanded; Tables 8, 9 and 10 (orig. 6, 7 and 8) expanded; Fig. 8 new
Section 7.1: (Applications: Astrophysical jets): updated (new figures and movies)
Section 7.2: (Applications: GRBs): updated (new figures and movies)
Section 7.3: (Relativistic Heavy Ion Collisions): new
Section 8.1: (Evaluation of the methods): discussion updated; Table 12 (orig. Table 10) updated
Section 8.2: (Present and future developments): substantially modified
Section 9.1: (Incorporation of complex EOS): new
Source codes: (Programs RIEMANN_VT and RPPM): new
References: Number has increased from 198 to 308
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