# Compressible two-phase flows by central and upwind schemes

Smadar Karni; Eduard Kirr; Alexander Kurganov; Guergana Petrova

- Volume: 38, Issue: 3, page 477-493
- ISSN: 0764-583X

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topKarni, Smadar, et al. "Compressible two-phase flows by central and upwind schemes." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 38.3 (2004): 477-493. <http://eudml.org/doc/245125>.

@article{Karni2004,

abstract = {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.},

author = {Karni, Smadar, Kirr, Eduard, Kurganov, Alexander, Petrova, Guergana},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},

keywords = {Euler equations; two-phase flows; numerical methods; central schemes; upwind schemes; Godunov scheme; Roe scheme; pressure equilibrium},

language = {eng},

number = {3},

pages = {477-493},

publisher = {EDP-Sciences},

title = {Compressible two-phase flows by central and upwind schemes},

url = {http://eudml.org/doc/245125},

volume = {38},

year = {2004},

}

TY - JOUR

AU - Karni, Smadar

AU - Kirr, Eduard

AU - Kurganov, Alexander

AU - Petrova, Guergana

TI - Compressible two-phase flows by central and upwind schemes

JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

PY - 2004

PB - EDP-Sciences

VL - 38

IS - 3

SP - 477

EP - 493

AB - 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.

LA - eng

KW - Euler equations; two-phase flows; numerical methods; central schemes; upwind schemes; Godunov scheme; Roe scheme; pressure equilibrium

UR - http://eudml.org/doc/245125

ER -

## References

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