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Compressible two-phase flows by central and upwind schemes

Published online by Cambridge University Press:  15 June 2004

Smadar Karni ,
Eduard Kirr ,
Alexander Kurganov  and
Guergana Petrova
Smadar Karni
Affiliation:
Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, USA, and Department of Computer Science and Applied Mathematics, The Weizmann Institute of Science, Rehovot 76100, Israel. karni@math.lsa.umich.edu.
Eduard Kirr
Affiliation:
Department of Mathematics, University of Chicago, Chicago, IL 60637, USA. ekirr@math.uchicago.edu.
Alexander Kurganov
Affiliation:
Department of Mathematics, Tulane University, New Orleans, LA 70118, USA. kurganov@math.tulane.edu.
Guergana Petrova
Affiliation:
Department of Mathematics, Texas A&M University, College Station, TX 77843, USA. gpetrova@math.tamu.edu.
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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.

Keywords

Euler equationstwo-phase flowsnumerical methodscentral schemesupwind schemes.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 38 , Issue 3 , May 2004 , pp. 477 - 493
Copyright
© EDP Sciences, SMAI, 2004

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