The coupling of multi-phase flow models

International audienceThis paper provides an overview of some recent developments that were motivated by the unsteady interfacial coupling of existing codes. We describe the framework and the basic ideas first, which mainly rely on the use of a father model. Next we list the main achievements in this domain, and focus then on the interfacial coupling of a three-field model with a two-fluid two-phase flow model. Some numerical results are shown, and we eventually try to point out the main results and give some perspectives for further work

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

International audienceThis 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