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.
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.
Accepted:
Published online:
Erik Burman 1; Miguel A. Fernández 2
@article{CRMATH_2007__345_8_467_0, 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}, }
TY - JOUR AU - Erik Burman AU - Miguel A. Fernández TI - Stabilized explicit coupling for fluid–structure interaction using Nitsche's method JO - Comptes Rendus. Mathématique PY - 2007 SP - 467 EP - 472 VL - 345 IS - 8 PB - Elsevier DO - 10.1016/j.crma.2007.09.010 LA - en ID - CRMATH_2007__345_8_467_0 ER -
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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