M. Discacciati, A. Quarteroni
2009.7.27Revista Matematica Complutense
tlooto Summary
This paper reviews Navier-Stokes/Darcy coupling for modeling fluid filtration through porous media, discussing coupling conditions and numerical approximation algorithms.
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.
Citation format
DISCACCIATI, M.; QUARTERONI, A. Navier-stokes/darcy coupling: Modeling, analysis, and numerical approximation. Revista Matematica Complutense, 2009, 22: 315–426.