In this chapter, we present the theoretical analysis of coupled incompressible Navier-Stokes (or Stokes) flows and Darcy flows with the Beavers-Joseph-Saffman interface condition. We discuss alternative interface and porous media models. We review some finite element methods used by several authors in this coupling and present numerical experiments.
Bibliographical noteKAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUS-C1-016-04
Acknowledgements: The first author acknowledges support from the UT Austin/Portugal Collaboration, Project: UT Austin/MAT/0066/2008 “Reaction-Diffusion in Porous Media.” The second author acknowledges support by NSF grant no. DMS–0810387 and by KAUST award no. KUS-C1-016-04. The third author acknowledges support from NSF with the grant DMS 0810422.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.