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Combined Mixed Hybrid Finite Element and Finite Volume Method for Flow in Porous Media

A. Elakkad, N. Guessous, A. Elkhalfi


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 mixed hybrid finite element method. The saturation equation is solved by a finite volume method. We start with incompressible single-phase flow and move step-bystep to the black-oil model and compressible two phase flow. Numerical results are presented to see the performance of the method, and seems to be interesting by comparing them with other recent results.


Saturation equation, finite volume method, mixed hybrid finite element method, Two-phase simulation.

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