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A partitioned Newton method for the interaction of a fluid and a 3D shell structure

Miguel Angel Fernández 1 Jean-Frédéric Gerbeau 1 Antoine Gloria 2, 3 Marina Vidrascu 4 
1 REO - Numerical simulation of biological flows
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt, UPMC - Université Pierre et Marie Curie - Paris 6
2 SIMPAF - SImulations and Modeling for PArticles and Fluids
LPP - Laboratoire Paul Painlevé - UMR 8524, Inria Lille - Nord Europe
Abstract : We propose a new fluid-structure algorithm based on a domain decomposition paradigm. The method is based on the principle ''linearize first, then decompose'' whereas the usual schemes are generally ''nonlinear in subdomains''. The proposed approach is more attractive when the complexity of the structure is high, which is the case with the structural model used in this study (nonlinear 3D shell). Another contribution of this paper is to investigate the use of a Neumann-Neumann preconditioner for the linearized problem. In particular, it is shown that when this preconditioner is adequately balanced, it tends to the Dirichlet-Neumann preconditioner because of the heterogeneity of the fluid-structure problem.
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Submitted on : Saturday, May 26, 2012 - 3:36:40 PM
Last modification on : Tuesday, November 22, 2022 - 2:26:13 PM

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Miguel Angel Fernández, Jean-Frédéric Gerbeau, Antoine Gloria, Marina Vidrascu. A partitioned Newton method for the interaction of a fluid and a 3D shell structure. Revue Européenne de Mécanique Numérique/European Journal of Computational Mechanics, 2010, 19 (5-7), pp.479-512. ⟨10.3166/ejcm.19.479-512⟩. ⟨hal-00701792⟩



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