Multilevel Methods in Porous Media Flow

The purpose of this paper is to describe the development and application of a cell-centered multilevel method applied to multiphase flow in porous media. The model that we consider is two-phase, 2-D compressible flow in a porous media. In section 2 we set up the coupled set of non linear partial differential equations to be solved and discretize them using cell-centered differencing. A fully implicit scheme with water saturation and oil pressure as unknowns is used in the solution of the system.