A Numerical Method Using Upwind Schemes for the Resolution of Two-Phase Flows

✍ Scribed by F. Coquel; K. El Amine; E. Godlewski; B. Perthame; P. Rascle

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 578 KB
• Volume: 136
• Category: Article
• ISSN: 0021-9991
• DOI: 10.1006/jcph.1997.5730

✦ Synopsis

This work is devoted to the numerical approximation of two-fluid flow models described by six balance equations. We introduce an two-fluid model is more advantageous (or even necessary original splitting technique which is especially derived to allow a in some cases) than the mixture model (see [8]). Also, straightforward extension to various and detailed exchange source many authors agree on the basic form of the model terms. When based on suitable kinetic upwind schemes, the whole (Eqs. (2.1), below), although it lacks some physical properscheme preserves the positivity of all the thermodynamic variables under a fairly unrestrictive CFL like condition. Several stiff numerical ties. The derivation of additional terms has been widely tests, including phase separation, are displayed in order to highlight studied.

the efficiency of the method we propose. ᮊ 1997 Academic Press A specific concern is that most models presently used in the large computer codes are based on governing equations having complex eigenvalues (Wallis model [23]), but com-