Multimodels for incompressible flows: Iterative solutions for the Navier-Stokes/Oseen coupling

Citation
L. Fatone et al., Multimodels for incompressible flows: Iterative solutions for the Navier-Stokes/Oseen coupling, ESAIM-M MOD, 35(3), 2001, pp. 549-574
Citations number
15
Categorie Soggetti
Mathematics
Journal title
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
ISSN journal
0764583X → ACNP
Volume
35
Issue
3
Year of publication
2001
Pages
549 - 574
Database
ISI
SICI code
0764-583X(200105/06)35:3<549:MFIFIS>2.0.ZU;2-A
Abstract
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 equ ations. In this paper we propose a numerical solution of the coupled proble m by subdomain splitting. After a preliminary analysis, we prove a converge nce result for an iterative algorithm that alternates the solution of the N avier-Stokes problem to the one of the Oseen problem.