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Numerical and theoretical study of a dual mesh method using finite volume schemes for two-phase flow problems in porous media. (English) Zbl 0912.76063
Summary: We examine two-phase flow problems in porous media. We use a dual mesh method to discretize this problem with finite volume schemes, and in a simplified case (elliptic-hyperbolic system) we prove the convergence of approximate solutions to the exact solutions. We study physically complex problems (heterogeneous cases with non-constant total mobility) and validate the method numerically on practical examples by computing error estimates for different test cases.

76M25 Other numerical methods (fluid mechanics) (MSC2010)
76T99 Multiphase and multicomponent flows
76S05 Flows in porous media; filtration; seepage
76M12 Finite volume methods applied to problems in fluid mechanics
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