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.
@article{M2AN_2001__35_3_549_0,
author = {Fatone, L. and Gervasio, P. and Quarteroni, A.},
title = {Multimodels for incompressible flows : iterative solutions for the Navier-Stokes / Oseen coupling},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
volume = {35},
year = {2001},
pages = {549-574},
mrnumber = {1837084},
zbl = {1039.76031},
language = {en},
url = {http://dml.mathdoc.fr/item/M2AN_2001__35_3_549_0}
}
Fatone, L.; Gervasio, P.; Quarteroni, A. Multimodels for incompressible flows : iterative solutions for the Navier-Stokes / Oseen coupling. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 35 (2001) pp. 549-574. http://gdmltest.u-ga.fr/item/M2AN_2001__35_3_549_0/
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