Numerical analysis of the Navier–Stokes/Darcy coupling

Abstract  We consider a differential system based on the coupling of the Navier–Stokes and Darcy equations for modeling the interaction
between surface and porous-media flows. We formulate the problem as an interface equation, we analyze the associated (nonlinear)
Steklov–Poincaré operators, and we prove its well-posedness. We propose and analyze iterative methods to solve a conforming
finite element approximation of the coupled problem.

• Content Type Journal Article
• DOI 10.1007/s00211-009-0279-6
• Authors
  
  
  • Lori Badea, Institute of Mathematics of the Romanian Academy P.O. Box 1-764 014700 Bucharest Romania
  • Marco Discacciati, Ecole Polytechnique Fédérale de Lausanne Department of Mathematics Station 8 1015 Lausanne Switzerland
  • Alfio Quarteroni, Ecole Polytechnique Fédérale de Lausanne Department of Mathematics Station 8 1015 Lausanne Switzerland
  
  

• Journal Numerische Mathematik
• Online ISSN 0945-3245
• Print ISSN 0029-599X

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Original source : http://www.springerlink.com/content/ln52w5084q4057...