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upwind schemes.

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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Compressible two-phase flows by centraland upwind schemes
Smadar Karni, Eduard Kirr, Alexander Kurganov, Guergana Petrova
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 38 / Issue 3 / May 2004

Published online by Cambridge University Press:

15 June 2004, pp. 477-493

Print publication:

May 2004
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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.