A kinetic beam scheme for relativistic gas dynamics

Jaw Yen Yang, Min Hung Chen, I. Nan Tsai, Jer Wei Chang

Research output: Contribution to journalArticlepeer-review

28 Citations (Scopus)

Abstract

An extension of the beam scheme of Sanders and Prendergast (Astrophys. J.188,489, 1974) for the Newtonian gas dynamics to relativistic gas dynamics is presented. It is found that the relativistic Euler equations are split into a set of discrete conservation laws with beam split conservative state vectors and flux vectors. High-order accurate schemes using essentially nonoscillatory concept are devised. Formulations for two space dimensions are also included. Numerical experiments with relativistic one-dimensional shock tube flows and two-dimensional Kelvin-Helmholtz instability flow to illustrate the method are given.

Original languageEnglish
Pages (from-to)19-40
Number of pages22
JournalJournal of Computational Physics
Volume136
Issue number1
DOIs
Publication statusPublished - 1997 Sep 1

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Modelling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

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