no. 1-2
Numerical Analysis
An added-mass free semi-implicit coupling scheme for fluid–structure interaction
[Couplage semi-implicite en interaction fluide–structure insensible aux effets de masse-ajoutée]

Présenté par : Olivier Pironneau

Astorino, Matteo1 ; Chouly, Franz1 ; Fernández, Miguel A.1
1 INRIA, REO team, Rocquencourt, BP 105, 78153 Le Chesnay cedex, France
Comptes Rendus. Mathématique, Tome 347 (2009) no. 1-2, pp. 99-104.

Dans cette Note, nous proposons un schéma de couplage semi-implicite pour la simulation numérique de phénomènes d'interaction fluide–structure dans lesquels le fluide est incompressible. Le schéma est stable indépendamment des effets de masse-ajoutée et permet l'utilisation de schémas conservatifs pour la structure. L'efficacité du schéma provient du traitement explicite des effets visqueux et des non-linéarités dues à la convection et à la géométrie, grâce à un schéma de projection de Chorin–Temam pour le fluide. D'autre part, la stabilité du schéma s'appuie sur le traitement implicite des efforts de pression et sur le couplage visqueux faible, effectué avec la méthode de Nitsche.

In this Note we propose a semi-implicit coupling scheme for the numerical simulation of fluid–structure interaction systems involving a viscous incompressible fluid. The scheme is stable irrespectively of the so-called added-mass effect and allows for conservative time-stepping within the structure. The efficiency of the scheme is based on the explicit splitting of the viscous effects and geometrical/convective non-linearities, through the use of the Chorin–Temam projection scheme within the fluid. Stability relies on the implicit treatment of the pressure stresses and on the Nitsche's treatment of the viscous coupling.

Reçu le :
Accepté le :
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DOI : 10.1016/j.crma.2008.11.003
Astorino, Matteo 1 ; Chouly, Franz 1 ; Fernández, Miguel A. 1

1 INRIA, REO team, Rocquencourt, BP 105, 78153 Le Chesnay cedex, France 
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Astorino, Matteo; Chouly, Franz; Fernández, Miguel A. An added-mass free semi-implicit coupling scheme for fluid–structure interaction. Comptes Rendus. Mathématique, Tome 347 (2009) no. 1-2, pp. 99-104. doi : 10.1016/j.crma.2008.11.003. http://archive.numdam.org/articles/10.1016/j.crma.2008.11.003/

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