INTERFACE CONDITION FOR THE COUPLING OF A FLUID AND POROUS MEDIA

Constantin Albert DUMITRACHE, Adriana PETRACHE

Abstract


Modeling the filtration of incompressible fluids through porous media requires dealing with different types of partial differential equations in the fluid and porous domains of the computational domain. Such equations must be coupled through physically continuity conditions at the interface separating the two domains.  We will review different interface conditions, including the well-known Beavers-Joseph-Saffman boundary condition and its recent improvement by Le Bars and Worster when using Navier-Stokes and Darcy’s equation or his extensions, Brinkman model or the Forchheimer model.

Key words: Navier-Stokes equations, Darcy’s law, Interface conditions, Brinkman model, Forchheimer model

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References


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