Combined Nodal Method and Finite Volume Method for Flow in Porous Media

This paper describes a numerical solution for two dimensional partial differential equations modeling (or arising from) a fluid flow and transport phenomena. The diffusion equation is discretized by the Nodal methods. The saturation equation is solved by a finite volume method. We start with incompressible single-phase flow and move step-by-step to the black-oil model and compressible two phase flow. Numerical results are presented to see the performance of the method, and seem to be interesting by comparing them with other recent results.