hal-00701792, version 1
A partitioned Newton method for the interaction of a fluid and a 3D shell structure
Miguel Ángel Fernández
a, 1Jean-Frédéric Gerbeau
1Antoine Gloria b, 2, 3Marina Vidrascu 4
European Journal of Computational Mechanics 19, 5-7 (2010) 479-512
Résumé : 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.
- a – INRIA Rocquencourt - REO
- b – Ecole Nationale des Ponts et Chaussées
- 1 : REO (INRIA Paris-Rocquencourt)
- INRIA – Laboratoire Jacques-Louis Lions
- 2 : SIMPAF (INRIA Lille - Nord Europe)
- INRIA – Université Lille I - Sciences et technologies – CNRS : UMR
- 3 : Laboratoire Paul Painlevé (LPP)
- CNRS : UMR8524 – Université Lille I - Sciences et technologies
- 4 : MACS (INRIA Rocquencourt)
- INRIA
- Domaine : Mathématiques/Analyse numérique
- Mots-clés : fluid-structure interaction – 3D shell finite elements – domain decomposition – partitioned schemes – Newton algorithm
- hal-00701792, version 1
- http://hal.inria.fr/hal-00701792
- oai:hal.inria.fr:hal-00701792
- Contributeur : Jean-Frédéric Gerbeau
- Soumis le : Samedi 26 Mai 2012, 15:36:40
- Dernière modification le : Mercredi 6 Juin 2012, 16:41:45
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