Compressible two-phase flows by central and upwind schemes

Smadar Karni, Eduard Kirr, Alexander Kurganov, Guergana Petrova

Research output: Contribution to journalArticlepeer-review

Abstract

This paper concerns numerical methods for two-phase flows. The governing equations are the compressible 2-velocity, 2-pressure flow model. Pressure and velocity relaxation are included as source terms. Results obtained by a Godunov-type central scheme and a Roe-type upwind scheme are presented. Issues of preservation of pressure equilibrium, and positivity of the partial densities are addressed.

Original languageEnglish (US)
Pages (from-to)477-493
Number of pages17
JournalMathematical Modelling and Numerical Analysis
Volume38
Issue number3
DOIs
StatePublished - May 2004
Externally publishedYes

Keywords

  • Central schemes
  • Euler equations
  • Numerical methods
  • Two-phase flows
  • Upwind schemes

ASJC Scopus subject areas

  • Analysis
  • Numerical Analysis
  • Modeling and Simulation
  • Computational Mathematics
  • Applied Mathematics

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