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Coupling of free surface and groundwater flows. (English) Zbl 1035.76051

Summary: We present some preliminary results on the coupling of shallow water equations for free surface flows and Darcy equation for groundwater flows. A suitable set of interface conditions is discussed: the Beavers-Joseph formula for bottom stress is used. An iterative algorithm to solve the coupled problem is proposed, and some numerical results are presented.

MSC:

76S05 Flows in porous media; filtration; seepage
76M10 Finite element methods applied to problems in fluid mechanics
86A05 Hydrology, hydrography, oceanography
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