# Compressible two-phase flows by central and upwind schemes

Smadar Karni; Eduard Kirr; Alexander Kurganov; Guergana Petrova

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- 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 38.3 (2010): 477-493. <http://eudml.org/doc/194224>.

@article{Karni2010,

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},

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

language = {eng},

month = {3},

number = {3},

pages = {477-493},

publisher = {EDP Sciences},

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

url = {http://eudml.org/doc/194224},

volume = {38},

year = {2010},

}

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

DA - 2010/3//

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/194224

ER -

## References

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## Citations in EuDML Documents

top- Tore Flåtten, Svend Tollak Munkejord, The approximate Riemann solver of Roe applied to a drift-flux two-phase flow model
- Alina Chertock, Smadar Karni, Alexander Kurganov, Interface tracking method for compressible multifluids
- Annalisa Ambroso, Christophe Chalons, Frédéric Coquel, Thomas Galié, Relaxation and numerical approximation of a two-fluid two-pressure diphasic model

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