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inria-00361284, version 2

Robin Based Semi-Implicit Coupling in Fluid-Structure Interaction: Stability Analysis and Numerics

Matteo Astorino () 1, Franz Chouly () 1, Miguel Angel Fernández (Auteur à contacter de préférence) 1

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 :  REO (INRIA Paris-Rocquencourt)
  • INRIA – Laboratoire Jacques-Louis Lions
 
  • inria-00361284, version 2
  • 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