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Comptes Rendus Mathématique
Volume 345, n° 8
pages 467-472 (octobre 2007)
Doi : 10.1016/j.crma.2007.09.010
Received : 10 April 2007 ;  accepted : 12 September 2007
Stabilized explicit coupling for fluid-structure interaction using Nitscheʼs method
Couplage explicite stabilisé en interaction fluide-structure avec la méthode de Nitsche
 

Erik Burman a , Miguel A. Fernández b
a École Polytechnique Fédérale de Lausanne, IACS, CH-1015 Lausanne, Switzerland 
b INRIA, REO team, Rocquencourt BP 105, 78153 Le Chesnay cedex, France 

Abstract

In this Note we propose a stabilized explicit coupling scheme for fluid-structure interaction based on Nitscheʼs method. The scheme is stable irrespective of the fluid-solid density ratio. Numerical experiments show that optimal time accuracy can be obtained by performing a few defect-correction iterations. To cite this article: E. Burman, M.A. Fernández, C. R. Acad. Sci. Paris, Ser. I 345 (2007).

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Résumé

Dans cette Note on propose un schéma de couplage explicite stabilisé basé sur la méthode de Nitsche. Le schéma est stable indépendamment du rapport de densités fluide et structure. Des expériences numériques montrent quʼon peut obtenir une précision optimale en temps après quelques itérations dʼun algorithme de Résidus Corrigés. Pour citer cet article : E. Burman, M.A. Fernández, C. R. Acad. Sci. Paris, Ser. I 345 (2007).

The full text of this article is available in PDF format.


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