A multinumerics scheme for incompressible two-phase flow

Abstract

The incompressible two-phase flow problem is solved by a method that combines cell-centered finite volume with discontinuous Galerkin in non-overlapping subdomains. The primary unknowns are the wetting phase pressure and the capillary pressure. The nonlinear equations are solved fully implicitly at each time step. Fluxes at the interface between subdomains are defined implicitly to allow for seamless propagation of saturation fronts. Numerical results show the robustness and efficiency of the method for homogeneous and heterogeneous porous media.