inria-00361284, version 2
Robin Based Semi-Implicit Coupling in Fluid-Structure Interaction: Stability Analysis and Numerics
SIAM Journal on Scientific Computing 31, 6 (2009) 4041-4065
Résumé : In this report, we propose a semi-implicit coupling scheme for the numerical simulation of fluid-structure interaction systems involving a viscous incompressible fluid. The scheme is stable irrespectively of the so-called added-mass effect and allows for conservative time-stepping within the structure. The efficiency of the scheme is based on the explicit splitting of the viscous effects and geometrical/convective non-linearities, through the use of the Chorin-Temam projection scheme within the fluid. Stability comes from the implicit pressure-solid coupling and a specific Robin treatment of the explicit viscous-solid coupling, derived from Nitsche's method.
- 1 :
- INRIA – Laboratoire Jacques-Louis Lions
- Domaine : Mathématiques/Analyse numérique
- Référence interne : RR-6849
- Versions disponibles : v1 (14-02-2009) v2 (19-02-2009)
- inria-00361284, version 2
- http://hal.inria.fr/inria-00361284
- oai:hal.inria.fr:inria-00361284
- Contributeur :
- Soumis le : Jeudi 19 Février 2009, 17:30:03
- Dernière modification le : Jeudi 5 Janvier 2012, 14:50:52





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