Using DUNE-FEM for Adaptive Higher Order Discontinuous Galerkin Methods for Two-phase Flow in Porous Media //

Abstract In this document we present higher order Discontinuous Galerkin discretization of a two-phase flow model describing subsurface flow in strongly heterogeneous porous media. The flow in the domain is immiscible and incompressible with no mass transfer between phases. We consider a fully implicit, locally conservative, higher order discretization on adaptively generated meshes. The implementation is based on the open-source PDE software framework Dune.