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Numerical methods for multiscale transport equations and application to two-phase porous media flow. (English) Zbl 1089.76049

Summary: We discuss numerical methods for linear and nonlinear transport equations with multiscale velocity fields. These methods are themselves multiscaled in nature in the sense that they use macro and micro grids and multiscale test functions. We demonstrate the efficiency of these methods and apply them to two-phase flows in heterogeneous porous media.

MSC:

76M50 Homogenization applied to problems in fluid mechanics
76S05 Flows in porous media; filtration; seepage
76T10 Liquid-gas two-phase flows, bubbly flows
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