On the Coupling of Incompressible Stokes or Navier–Stokes and Darcy Flows Through Porous Media

V. Girault; G. Kanschat; B. Rivière

doi:10.1007/978-1-4614-5055-9_1

On the Coupling of Incompressible Stokes or Navier–Stokes and Darcy Flows Through Porous Media

V. Girault, G. Kanschat, B. Rivière

Research output: Chapter in Book/Report/Conference proceeding › Chapter

12 Scopus citations

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.

Original language	English (US)
Title of host publication	Modelling and Simulation in Fluid Dynamics in Porous Media
Publisher	Springer Nature
Pages	1-25
Number of pages	25
ISBN (Print)	9781461450542
DOIs	https://doi.org/10.1007/978-1-4614-5055-9_1
State	Published - Nov 3 2012
Externally published	Yes

Bibliographical note

KAUST 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.

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10.1007/978-1-4614-5055-9_1

Cite this

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title = "On the Coupling of Incompressible Stokes or Navier–Stokes and Darcy Flows Through Porous Media",

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.",

author = "V. Girault and G. Kanschat and B. Rivi{\`e}re",

note = "KAUST 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.",

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AU - Kanschat, G.

AU - Rivière, B.

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AB - 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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ER -

On the Coupling of Incompressible Stokes or Navier–Stokes and Darcy Flows Through Porous Media

Abstract

Bibliographical note

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