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Numerical hydrodynamics in special relativity

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arxiv astro-ph/9906333 v1 pith:RBPTPADW submitted 1999-06-21 astro-ph

Jose M. Marti (1) , Ewald Mueller (2) ((1) Departamento de Astronomia y Astrofisica , Universidad de Valencia , Spain (2) MPI fuer Astrophysik , Garching , Germany) This is my paper · ORCID
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A "Neural" Riemann solver for Relativistic Hydrodynamics

    gr-qc 2025-05 conditional novelty 6.0 of 10

    Small neural networks trained on exact solutions can replace the iterative root-finding in a relativistic Riemann solver, giving exact-like accuracy about 14 times faster in 1D tests.

  2. SACRA-2D: New axisymmetric general relativistic hydrodynamics code with fixed mesh refinement

    astro-ph.HE 2025-02 conditional novelty 6.0 of 10

    SACRA-2D is a new axisymmetric relativistic hydrodynamics code with the HLLC solver and adaptive mesh refinement, validated by benchmarks showing improved accuracy over the TVDLF solver.

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