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Numerical simulation of two-phase flow in porous media based on mimetic Green element method. (English) Zbl 1464.76198

Summary: Based on mimetic Green element method (GEM), which synthesizes some typical advantages of boundary element method (BEM), finite element method (FEM) and mimetic finite difference method (mimetic FDM), This paper study the application of mimetic GEM in the system of partial differential equations (PDEs) of oil-water two-phase flow in porous media. It is the first time to apply GEM to solve numerically the system of PDEs, which is one of novelties in this paper. For numerical simulation of oil-water two-phase flow in porous media, this paper provides a novel numerical method based on mimetic GEM, which is the other novelty of this work.

MSC:

76S05 Flows in porous media; filtration; seepage
76M15 Boundary element methods applied to problems in fluid mechanics
65M38 Boundary element methods for initial value and initial-boundary value problems involving PDEs
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