On the solution of incompressible two-phase flow by a p-version discontinuous Galerkin method

Abstract

This paper presents a fully implicit scheme for approximating two-phase flow in heterogeneous porous media. The primary unknowns are the wetting phase pressure and non-wetting phase saturation. At each time step, a Jacobian matrix is computed. Convergence of the scheme is shown via increase of the polynomial degree. No slope limiters are needed. Copyright © 2005 John Wiley & Sons, Ltd.