A partitioned Newton method for the ...
Document type :
Compte-rendu et recension critique d'ouvrage
DOI :
Title :
A partitioned Newton method for the interaction of a fluid and a 3D shell structure
Author(s) :
Fernández, Miguel Angel [Auteur]
Numerical simulation of biological flows [REO]
Gerbeau, Jean-Frédéric [Auteur]
Numerical simulation of biological flows [REO]
Gloria, Antoine [Auteur]
SImulations and Modeling for PArticles and Fluids [SIMPAF]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Vidrascu, Marina [Auteur]
Modeling, analysis and control in computational structural dynamics [MACS]
Numerical simulation of biological flows [REO]
Gerbeau, Jean-Frédéric [Auteur]
Numerical simulation of biological flows [REO]
Gloria, Antoine [Auteur]
SImulations and Modeling for PArticles and Fluids [SIMPAF]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Vidrascu, Marina [Auteur]
Modeling, analysis and control in computational structural dynamics [MACS]
Journal title :
Revue Européenne de Mécanique Numérique/European Journal of Computational Mechanics
Pages :
479-512
Publisher :
Hermès / Paris : Lavoisier
Publication date :
2010
ISSN :
1779-7179
English keyword(s) :
fluid-structure interaction
3D shell finite elements
domain decomposition
partitioned schemes
Newton algorithm
3D shell finite elements
domain decomposition
partitioned schemes
Newton algorithm
HAL domain(s) :
Mathématiques [math]/Analyse numérique [math.NA]
English abstract : [en]
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''. ...
Show more >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.Show less >
Show more >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.Show less >
Language :
Anglais
Popular science :
Non
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