| Issue |
ESAIM: M2AN
Volume 35, Number 3, May-June 2001
|
|
|---|---|---|
| Page(s) | 549 - 574 | |
| DOI | https://doi.org/10.1051/m2an:2001126 | |
| Published online | 15 April 2002 | |
Multimodels for incompressible flows: iterative solutions for the Navier-Stokes/Oseen coupling
1
Department of Mathematics, Politecnico di Milano,
20133 Milano Italy. (fatone@mate.polimi.it)
2
Department of Mathematics,
University of Brescia, 25100 Brescia Italy. (gervasio@ing.unibs.it)
3
Department of Mathematics, EPFL, 1015 Lausanne, Switzerland.
(Alfio.Quarteroni@epfl.ch)
Received:
14
September
2000
Received:
February
2001
In a recent paper [4] we have proposed and analysed a suitable mathematical model which describes the coupling of the Navier-Stokes with the Oseen equations. In this paper we propose a numerical solution of the coupled problem by subdomain splitting. After a preliminary analysis, we prove a convergence result for an iterative algorithm that alternates the solution of the Navier-Stokes problem to the one of the Oseen problem.
Mathematics Subject Classification: 76D05 / 65M55 / 65M60 / 65M70
Key words: Navier-Stokes equations / domain decomposition methods / iterative schemes / convergence analysis.
© EDP Sciences, SMAI, 2001
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.