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

  • Marco Discacciati
  • Alfio Quarteroni
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Mots-clés : Navier-Stokes equations, Darcy's law, Interface conditions, Domain decom position, Finite elements, Environmental flows, Blood flow

Résumé

This pap er is an overview of known and new results ab out the coupling of Navier-Stokes and Darcy equations to model the filtration of incompressible fluids through p orous media. We discuss coupling conditions and we analyze the global coupled model in order to prove its well-p osedness and to characterize effective algorithms to compute the solution of its numerical approximation.
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Publié
2009-07-27
Comment citer
Discacciati, M., & 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
Rubrique
Artículos