A Domain Decomposition Method for Coupled Stokes-Darcy Problems with Generalised Interface Conditions
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Coupled systems of porous media and free flow arise in a variety of applications, e.g. industrial filtration, blood flow in the human body, and surface/subsurface interactions. Such flow problems are usually described by the Stokes equations in the free-flow domain, Darcy's law in the porous medium, and a suitable set of coupling conditions on the fluid-porous interface. To be able to model accurately a wide range of applications, we consider generalised coupling conditions recently derived for arbitrary flow directions. Due to the multi-physics and multi-domain nature of the Stokes-Darcy system, we develop a domain decomposition method to solve the problem efficiently. In this talk, a Robin-Robin algorithm for solving the coupled Stokes-Darcy system with generalised interface condition is proposed and analysed. We show the efficiency of this method in numerical experiments.
