Stabilized explicit coupling for fluid–structure interaction using Nitsche's method

Erik Burman; Miguel A. Fernández

doi:10.1016/j.crma.2007.09.010

Numerical Analysis

Stabilized explicit coupling for fluid–structure interaction using Nitsche's method
[Couplage explicite stabilisé en interaction fluide–structure avec la méthode de Nitsche]

Présenté par : Olivier Pironneau

Erik Burman ¹ ; Miguel A. Fernández ²

¹ École Polytechnique Fédérale de Lausanne, IACS, CH-1015 Lausanne, Switzerland
² INRIA, REO team, Rocquencourt BP 105, 78153 Le Chesnay cedex, France

Comptes Rendus. Mathématique, Volume 345 (2007) no. 8, pp. 467-472.

Résumé
Abstract

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 qu'on peut obtenir une précision optimale en temps après quelques itérations d'un algorithme de Résidus Corrigés.

In this Note we propose a stabilized explicit coupling scheme for fluid–structure interaction based on Nitsche's 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.

Reçu le : 2007-04-10
Accepté le : 2007-09-12
Publié le : 2007-10-10

DOI : 10.1016/j.crma.2007.09.010

Affiliations des auteurs :

Erik Burman ¹ ; Miguel A. Fernández ²

¹ École Polytechnique Fédérale de Lausanne, IACS, CH-1015 Lausanne, Switzerland
² INRIA, REO team, Rocquencourt BP 105, 78153 Le Chesnay cedex, France

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     author = {Erik Burman and Miguel A. Fern\'andez},
     title = {Stabilized explicit coupling for fluid{\textendash}structure interaction using {Nitsche's} method},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {467--472},
     publisher = {Elsevier},
     volume = {345},
     number = {8},
     year = {2007},
     doi = {10.1016/j.crma.2007.09.010},
     language = {en},
}

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Erik Burman; Miguel A. Fernández. Stabilized explicit coupling for fluid–structure interaction using Nitsche's method. Comptes Rendus. Mathématique, Volume 345 (2007) no. 8, pp. 467-472. doi : 10.1016/j.crma.2007.09.010. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2007.09.010/

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