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Compressible two-phase flows by central and upwind schemes

Published online by Cambridge University Press:  15 June 2004

Smadar Karni
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.
Eduard Kirr
Department of Mathematics, University of Chicago, Chicago, IL 60637, USA.
Alexander Kurganov
Department of Mathematics, Tulane University, New Orleans, LA 70118, USA.
Guergana Petrova
Department of Mathematics, Texas A&M University, College Station, TX 77843, USA.
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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.

Research Article
© EDP Sciences, SMAI, 2004

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