Iterative Methods for Stokes/Darcy Coupling
نویسنده
چکیده
The simulation of incompressible flows in heterogenous media is an interesting topic with many applications: considering the particular case of free fluids which can filtrate through porous media, we recall for example the hydrological environmental applications and mass transfer in biomechanics. The Stokes/Darcy coupled system provides a linear model to describe such phenomena. We consider a bounded domain Ω ⊂ R (d = 2, 3) formed by two non-overlapping subdomains Ωf and Ωp separated by a surface Γ = Ωf ∩Ωp. Ωf is the region occupied by the fluid whose motion is described by the Stokes equations which can be written in adimensional form as:
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