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Journal Articles International Journal on Finite Volumes Year : 2010

Multidimensional computations of a two-fluid hyperbolic model in a porous medium

Abstract

This paper deals with the computation of two-phase flows in a porous medium, with two main objectives. First of all, we will present a new multi-dimensional well-balanced scheme, with its advantages and draw-backs. Furthermore, we will compare results of the porous model with approximations obtained with a full two-dimensional computation, where all obstacles have been taken into account in the computational domain. The two-phase flow model is hyperbolic, and the scheme takes its roots on a modified Rusanov scheme that integrates effects due to discontinuous porous profiles. The scheme perfectly maintains steady state profiles on any structured mesh.
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Dates and versions

hal-01114209 , version 1 (10-02-2015)

Identifiers

  • HAL Id : hal-01114209 , version 1

Cite

Laëtitia Girault, Jean-Marc Hérard. Multidimensional computations of a two-fluid hyperbolic model in a porous medium. International Journal on Finite Volumes, 2010, 7 (1), http://www.latp.univ-mrs.fr/IJFV/spip.php?article37. ⟨hal-01114209⟩
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