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
2 Max-Planck-Institut für Astrophysik, Karl-Schwarzschild-Str. 1, D-85748 Garching, Germany
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>):
http://www.livingreviews.org/lrr-1999-3
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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