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Finite element method for two-phase immiscible flow

✍ Scribed by Wen Tao Sun; Huai Yu Zhang

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 91 KB
Volume: 15
Category: Article
ISSN: 0749-159X
DOI: 10.1002/(sici)1098-2426(199907)15:4<407::aid-num1>3.0.co;2-w

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✦ Synopsis

An explicit finite element method for numerically solving the two-phase, immiscible, incompressible flow in a porous medium in two space dimensions is analyzed. The method is based on the use of a mixed finite element method for the approximation of the velocity and pressure a discontinuous upwinding finite element method for the approximation of the saturation. The mixed method gives an approximate velocity field in the precise form needed by the discontinuous method, which is trivially conservative and fully parallelizable in computation. It is proven that it converges to the exact solution.

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