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

L. Fatone;  P. Gervasio;  A. Quarteroni — 2001

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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.

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

L. Fatone;  P. Gervasio;  A. Quarteroni — 2010

ESAIM: Mathematical Modelling and Numerical Analysis

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.

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