This paper is an overview of known and new results about the coupling of Navier-Stokes and Darcy equations to model the filtration of incompressible fluids through porous media. We discuss coupling conditions and we analyze the global coupled model in order to prove its well-posedness and to characterize effective algorithms to compute the solution of its numerical approximation.

Navier-Stokes/Darcy Coupling: Modeling, Analysis, and Numerical Approximation

QUARTERONI, ALFIO MARIA
2009-01-01

Abstract

This paper is an overview of known and new results about the coupling of Navier-Stokes and Darcy equations to model the filtration of incompressible fluids through porous media. We discuss coupling conditions and we analyze the global coupled model in order to prove its well-posedness and to characterize effective algorithms to compute the solution of its numerical approximation.
2009
Blood flow, Darcy's law, Domain decomposition, Environmental flows, Finite elements, Interface conditions, Navier-stokes equations
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/550144
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