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

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 charact...

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Bibliographic Details
Main Authors: Marco Discacciati, Alfio Quarteroni
Format: Default Article
Published: 2009
Subjects:
Other mathematical sciences not elsewhere classified
Navier-Stokes equations
Darcy's law
Interface conditions
Domain decomposition
Finite elements
Environmental flows
Blood flow
Mathematical Sciences not elsewhere classified
Online Access:https://hdl.handle.net/2134/18734
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