Compressible two-phase flows by central and upwind schemes
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 38 (2004) no. 3, p. 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 : https://doi.org/10.1051/m2an:2004024
Classification:  35L65,  65M06,  76N15,  76T99
Keywords: Euler equations, two-phase flows, numerical methods, central schemes, upwind schemes
@article{M2AN_2004__38_3_477_0,
author = {Karni, Smadar and Kirr, Eduard and Kurganov, Alexander and Petrova, Guergana},
title = {Compressible two-phase flows by central and upwind schemes},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
publisher = {EDP-Sciences},
volume = {38},
number = {3},
year = {2004},
pages = {477-493},
doi = {10.1051/m2an:2004024},
zbl = {1079.76045},
mrnumber = {2075756},
language = {en},
url = {http://www.numdam.org/item/M2AN_2004__38_3_477_0}
}

Karni, Smadar; Kirr, Eduard; Kurganov, Alexander; Petrova, Guergana. Compressible two-phase flows by central and upwind schemes. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 38 (2004) no. 3, pp. 477-493. doi : 10.1051/m2an:2004024. http://www.numdam.org/item/M2AN_2004__38_3_477_0/

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