Stabilized numerical solutions of three-phase porous media flow using a multiscale finite element formulation
Rubén Juanes, USDOE. Assistant Secretary for Fossil Energy, Barrie de la Maza, Jane Lewis, Repsol-YPF Fellowships (US), Tadeusz W. Patzek · 2003
We present a multiscale formulation for the numerical solution of one-dimensional three-phase flow through porous media.In the case of vanishing capillarity effects, the system of equations describing three-phase flow becomes almost hyperbolic, and the solution develops shocks and boundary layers.Under these conditions, classical numerical methods produce a solution that is either unstable or excessively diffusive.