Multimodels for incompressible flows: iterative solutions for the Navier-Stokes/Oseen coupling
Department of Mathematics, Politecnico di Milano,
20133 Milano Italy. (email@example.com)
2 Department of Mathematics, University of Brescia, 25100 Brescia Italy. (firstname.lastname@example.org)
3 Department of Mathematics, EPFL, 1015 Lausanne, Switzerland. (Alfio.Quarteroni@epfl.ch)
Received: February 2001
In a recent paper  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