Relaxation and numerical approximation of a two-fluid two-pressure diphasic model

Annalisa Ambroso; Christophe Chalons; Frédéric Coquel; Thomas Galié

ESAIM: Mathematical Modelling and Numerical Analysis (2009)

  • Volume: 43, Issue: 6, page 1063-1097
  • ISSN: 0764-583X

Abstract

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This paper is concerned with the numerical approximation of the solutions of a two-fluid two-pressure model used in the modelling of two-phase flows. We present a relaxation strategy for easily dealing with both the nonlinearities associated with the pressure laws and the nonconservative terms that are inherently present in the set of convective equations and that couple the two phases. In particular, the proposed approximate Riemann solver is given by explicit formulas, preserves the natural phase space, and exactly captures the coupling waves between the two phases. Numerical evidences are given to corroborate the validity of our approach.

How to cite

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Ambroso, Annalisa, et al. "Relaxation and numerical approximation of a two-fluid two-pressure diphasic model." ESAIM: Mathematical Modelling and Numerical Analysis 43.6 (2009): 1063-1097. <http://eudml.org/doc/250664>.

@article{Ambroso2009,
abstract = { This paper is concerned with the numerical approximation of the solutions of a two-fluid two-pressure model used in the modelling of two-phase flows. We present a relaxation strategy for easily dealing with both the nonlinearities associated with the pressure laws and the nonconservative terms that are inherently present in the set of convective equations and that couple the two phases. In particular, the proposed approximate Riemann solver is given by explicit formulas, preserves the natural phase space, and exactly captures the coupling waves between the two phases. Numerical evidences are given to corroborate the validity of our approach. },
author = {Ambroso, Annalisa, Chalons, Christophe, Coquel, Frédéric, Galié, Thomas},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Two-phase flows; two-fluid two-pressure model; hyperbolic systems; finite volume methods; relaxation schemes; Riemann solvers.; two-phase flows; Riemann solvers},
language = {eng},
month = {10},
number = {6},
pages = {1063-1097},
publisher = {EDP Sciences},
title = {Relaxation and numerical approximation of a two-fluid two-pressure diphasic model},
url = {http://eudml.org/doc/250664},
volume = {43},
year = {2009},
}

TY - JOUR
AU - Ambroso, Annalisa
AU - Chalons, Christophe
AU - Coquel, Frédéric
AU - Galié, Thomas
TI - Relaxation and numerical approximation of a two-fluid two-pressure diphasic model
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2009/10//
PB - EDP Sciences
VL - 43
IS - 6
SP - 1063
EP - 1097
AB - This paper is concerned with the numerical approximation of the solutions of a two-fluid two-pressure model used in the modelling of two-phase flows. We present a relaxation strategy for easily dealing with both the nonlinearities associated with the pressure laws and the nonconservative terms that are inherently present in the set of convective equations and that couple the two phases. In particular, the proposed approximate Riemann solver is given by explicit formulas, preserves the natural phase space, and exactly captures the coupling waves between the two phases. Numerical evidences are given to corroborate the validity of our approach.
LA - eng
KW - Two-phase flows; two-fluid two-pressure model; hyperbolic systems; finite volume methods; relaxation schemes; Riemann solvers.; two-phase flows; Riemann solvers
UR - http://eudml.org/doc/250664
ER -

References

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