Geodesic
Compressible two-phase flows by central and upwind schemes
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 38 (2004) no. 3, pp. 477-493

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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
Keywords: Euler equations, two-phase flows, numerical methods, central schemes, upwind schemes 
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     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 },
     pages = {477--493},
     publisher = {EDP-Sciences},
     volume = {38},
     number = {3},
     year = {2004},
     doi = {10.1051/m2an:2004024},
     mrnumber = {2075756},
     zbl = {1079.76045},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an:2004024/}
}
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Karni, Smadar; Kirr, Eduard; Kurganov, Alexander; Petrova, Guergana. Compressible two-phase flows by central and upwind schemes. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 38 (2004) no. 3, pp. 477-493. doi: 10.1051/m2an:2004024

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