| HAL : inria-00361284, version 2 |
| DOI : 10.1137/090749694 |
| Voir la fiche détaillée | BibTeX,EndNote,... |
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| SIAM Journal on Scientific Computing 31, 6 (2009) 4041-4065 |
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| Versions disponibles | v1 (14-02-2009) | v2 (19-02-2009) |
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| Robin Based Semi-Implicit Coupling in Fluid-Structure Interaction: Stability Analysis and Numerics |
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| Matteo Astorino 1Franz Chouly 1 |
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| (2009) |
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| 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. |
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| 1 : | REO (INRIA Paris-Rocquencourt) |
| INRIA – Laboratoire Jacques-Louis Lions | |
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| Domaine | : | Mathématiques/Analyse numérique |
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| Liste des fichiers attachés à ce document : | |||||
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| inria-00361284, version 2 | |
| http://hal.inria.fr/inria-00361284 | |
| oai:hal.inria.fr:inria-00361284 | |
| Contributeur : Miguel Angel Fernández | |
| Soumis le : Jeudi 19 Février 2009, 17:30:03 | |
| Dernière modification le : Jeudi 5 Janvier 2012, 14:50:52 | |