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

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-correctio...

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Bibliographic Details
Published inComptes rendus. Mathématique Vol. 345; no. 8; pp. 467 - 472
Main Authors Burman, Erik, Fernández, Miguel A.
Format Journal Article
LanguageEnglish
French
Published Paris Elsevier SAS 15.10.2007
Elsevier
Subjects
Exact sciences and technology
General mathematics
General, history and biography
Mathematics
Sciences and techniques of general use
Experience
Accuracy
Residue
Fluid
Iteration
Mathematics
Coupling
Fluid structure interaction
Algorithm
Density
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Summary: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. To cite this article: E. Burman, M.A. Fernández, C. R. Acad. Sci. Paris, Ser. I 345 (2007). 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. Pour citer cet article : E. Burman, M.A. Fernández, C. R. Acad. Sci. Paris, Ser. I 345 (2007).
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ISSN:1631-073X
1778-3569
1778-3569
DOI:10.1016/j.crma.2007.09.010