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On the coupling of incompressible Stokes or Navier-Stokes and Darcy flows through porous media

Springer Proceedings in Mathematics and Statistics
DOI: 10.1007/978-1-4614-5055-9_1
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Abstract

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.

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Girault, V., Kanschat, G., & Rivière, B. (2013). On the coupling of incompressible Stokes or Navier-Stokes and Darcy flows through porous media. Springer Proceedings in Mathematics and Statistics. Springer New York LLC. https://doi.org/10.1007/978-1-4614-5055-9_1

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