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

Abstract

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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.

How to cite

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Karni, 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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