Computational methods for self-similar solutions of the compressible Euler equations

Ravindra Samtaney*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

Computations of self-similar solutions of the compressible Euler equations as a boundary value problem in similarity coordinates (ξ =x/t, η =y/t) are presented. Two new implicit methods namely the implicit Godunov method and the implicit Equilibrium Flux Method are presented. The Jacobians for the implicit methods are analytically evaluated. In general the self-similar solutions exhibit sharper discontinuities than corresponding solutions of the initial value problem.

Original languageEnglish (US)
Pages (from-to)327-345
Number of pages19
JournalJournal of Computational Physics
Volume132
Issue number2
DOIs
StatePublished - Jan 1 1997

ASJC Scopus subject areas

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

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