Compressible two-phase flows by central and upwind schemes
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. firstname.lastname@example.org.
2 Department of Mathematics, University of Chicago, Chicago, IL 60637, USA. email@example.com.
3 Department of Mathematics, Tulane University, New Orleans, LA 70118, USA. firstname.lastname@example.org.
4 Department of Mathematics, Texas A&M University, College Station, TX 77843, USA. email@example.com.
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