DISCACCIATI, M. and QUARTERONI, A., 2009. Navier-Stokes/Darcy coupling: modeling, analysis, and numerical approximation. Revista Matematica Complutense, 22 (2), pp.315-426.
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.
The final publication is available at http://www.mat.ucm.es/serv/revmat/vol22-2/vol22-2a.pdf