| Issue |
ESAIM: M2AN
Volume 38, Number 3, May-June 2004
|
|
|---|---|---|
| Page(s) | 477 - 493 | |
| DOI | https://doi.org/10.1051/m2an:2004024 | |
| Published online | 15 June 2004 | |
Compressible two-phase flows by central and upwind schemes
1
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.
2
Department of Mathematics, University of Chicago,
Chicago, IL 60637, USA. ekirr@math.uchicago.edu.
3
Department of Mathematics, Tulane University,
New Orleans, LA 70118, USA. kurganov@math.tulane.edu.
4
Department of Mathematics, Texas A&M University,
College Station, TX 77843, USA. gpetrova@math.tamu.edu.
Received:
28
December
2002
Revised:
24
February
2004
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.
Mathematics Subject Classification: 35L65 / 65M06 / 76N15 / 76T99
Key words: Euler equations / two-phase flows / numerical methods / central schemes / upwind schemes.
© EDP Sciences, SMAI, 2004
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