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Multimodels for incompressible flows: iterative solutions for theNavier-Stokes/Oseen coupling

Published online by Cambridge University Press:  15 April 2002

L. Fatone ,
P. Gervasio  and
A. Quarteroni
L. Fatone
Affiliation:
Department of Mathematics, Politecnico di Milano, 20133 Milano Italy. (fatone@mate.polimi.it)
P. Gervasio
Affiliation:
Department of Mathematics, University of Brescia, 25100 Brescia Italy. (gervasio@ing.unibs.it)
A. Quarteroni
Affiliation:
Department of Mathematics, Politecnico di Milano, 20133 Milano Italy. (fatone@mate.polimi.it) Department of Mathematics, EPFL, 1015 Lausanne, Switzerland. (Alfio.Quarteroni@epfl.ch)
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Abstract

In a recent paper [4] we have proposed and analyseda suitable mathematical modelwhich describes the coupling of the Navier-Stokes with theOseen equations.In this paper we propose a numerical solution of the coupledproblem by subdomain splitting.After a preliminary analysis, we prove a convergence result foran iterative algorithm that alternates the solution of the Navier-Stokes problem to the one of the Oseen problem.

Keywords

Navier-Stokes equationsdomain decomposition methodsiterative schemesconvergence analysis.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 35 , Issue 3 , May 2001 , pp. 549 - 574
Copyright
© EDP Sciences, SMAI, 2001

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