Explicit Robin-Neumann schemes for the coupling of incompressible fluids with thin-walled structures

Miguel Angel Fernández 1, * Jimmy Mullaert 1 Marina Vidrascu 1
* Auteur correspondant
1 REO - Numerical simulation of biological flows
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt, UPMC - Université Pierre et Marie Curie - Paris 6
Abstract : We introduce a class of explicit coupling schemes for the numerical solution of fluid-structure interaction problems involving a viscous incompressible fluid and a general thin-walled structure (e.g., including damping and non-linear behavior). The fundamental ingredient in these methods is the (parameter free) explicit Robin interface condition for the fluid, which enables the fluid-solid splitting through appropriate extrapolations of the solid velocity and fluid stress on the interface. The resulting solution procedures are genuinely partitioned. Stability and error estimates are provided for all the variants (depending on the extrapolations), using energy arguments within a representative linear setting. In particular, we show that one of them yields added-mass free unconditional stability and optimal (firs-order) time accuracy. A comprehensive numerical study, involving different examples from the literature, supports the theory.
Type de document :
Article dans une revue
Computer Methods in Applied Mechanics and Engineering, Elsevier, 2013, 267, pp.566-593. 〈10.1016/j.cma.2013.09.020〉
Liste complète des métadonnées

Littérature citée [52 références]  Voir  Masquer  Télécharger

https://hal.inria.fr/hal-00784903
Contributeur : Miguel Angel Fernández <>
Soumis le : mercredi 18 septembre 2013 - 11:41:21
Dernière modification le : mardi 3 juillet 2018 - 11:30:03
Document(s) archivé(s) le : jeudi 6 avril 2017 - 22:06:26

Fichier

RR-8224.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

Collections

Citation

Miguel Angel Fernández, Jimmy Mullaert, Marina Vidrascu. Explicit Robin-Neumann schemes for the coupling of incompressible fluids with thin-walled structures. Computer Methods in Applied Mechanics and Engineering, Elsevier, 2013, 267, pp.566-593. 〈10.1016/j.cma.2013.09.020〉. 〈hal-00784903v3〉

Partager

Métriques

Consultations de la notice

695

Téléchargements de fichiers

287