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

Laëtitia Girault , Jean-Marc Hérard (1, 2)

1 EDF - EDF
2 I2M - Institut de Mathématiques de Marseille

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.

Mots clés: Two-Fluid Model; Porous Medium; Finite Volumes

Domaines: Mathématiques [math]; Mécanique des fluides [physics.class-ph]

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⟩