Navier-Stokes/Darcy Coupling: Modeling,Analysis, and Numerical Approximation
Marco DISCACCIATI1, and Alfio QUARTERONI1,2,
1IACS - Chair of Modeling and Scientific Computing
Ecole Polytechnique Fédérale de Lausanne
CH-1015 Lausanne — Switzerland
alfio.quarteroni@epfl.ch
2MOX, Politecnico di Milano
P.zza Leonardo da Vinci 32
I-20133 Milano — Italy
marco.discacciati@epfl.ch
Received: November 21, 2008
Accepted: April 16, 2009
ABSTRACT
This paper is an overview of known and new results about the coupling ofNavier-Stokes and Darcy equations to model the filtration of incompressiblefluids through porous media. We discuss coupling conditions and we analyze theglobal coupled model in order to prove its well-posedness and to characterizeeffective algorithms to compute the solution of its numerical approximation.