A method of fundamental solutions for modeling porous media advective fluid flow

A new numerical scheme for modeling advective tracer flow in oil reservoirs and aquifers is presented. It combines the method of fundamental solutions and a streamline time of flight approach for solving the pressure and concentration equations respectively. Computational results on a variety of two-dimensional problems and validation tests show that the new scheme is free of numerical diffusion, eliminates time step stability restrictions, and is faster than standard boundary element techniques. (C) 2003 IMACS. Published by Elsevier B.V. All rights reserved.