Author(s)

Abdeslam Elakkad, Ahmed Elkhalfi, Najib Guessous

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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.

Saturation Equation, Nodal Methods, Finite Volume Method, Two-Phase Simulation

A. Elakkad, A. Elkhalfi and N. Guessous, "Combined Nodal Method and Finite Volume Method for Flow in Porous Media," Wireless Sensor Network, Vol. 2 No. 3, 2010, pp. 227-232. doi: 10.4236/wsn.2010.23030.