Navier-Stokes/darcy coupling: modeling, analysis, and numerical approximation

  • Marco Discacciati
  • Alfio Quarteroni
DOI: https://doi.org/10.5209/rev_REMA.2009.v22.n2.16263
Keywords: Navier-Stokes equations, Darcy’s law, Interface conditions, Domain decomposition, Finite elements, Environmental flows, Blood flow

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.

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Published
2009-07-27
How to Cite
Discacciati M. . y Quarteroni A. . (2009). Navier-Stokes/darcy coupling: modeling, analysis, and numerical approximation. Revista Matemática Complutense, 22(2), 315-426. https://doi.org/10.5209/rev_REMA.2009.v22.n2.16263
Issue
Vol. 22 No. 2 (2009)
Section
Articles

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