Numerical analysis of the Navier-Stokes/Darcy coupling

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-Poincare' operators, and we prove its wellposedness. We propose and analyze iterative methods to solve a conforming finite element approximation of the coupled problem.


Published in:
Numerische Mathematik, 115, 2, 195-227
Year:
2010
Publisher:
Springer Verlag
ISSN:
0029-599X
Keywords:
Laboratories:




 Record created 2010-01-22, last modified 2018-09-13

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