Compressible two-phase flows by central and upwind schemes
ESAIM: Modélisation mathématique et analyse numérique, Tome 38 (2004) no. 3, pp. 477-493.

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.

DOI : 10.1051/m2an:2004024
Classification : 35L65, 65M06, 76N15, 76T99
Mots-clés : Euler equations, two-phase flows, numerical methods, central schemes, upwind schemes 
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     title = {Compressible two-phase flows by central and upwind schemes},
     journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
     pages = {477--493},
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Karni, Smadar; Kirr, Eduard; Kurganov, Alexander; Petrova, Guergana. Compressible two-phase flows by central and upwind schemes. ESAIM: Modélisation mathématique et analyse numérique, Tome 38 (2004) no. 3, pp. 477-493. doi : 10.1051/m2an:2004024. http://www.numdam.org/articles/10.1051/m2an:2004024/

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