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inria-00361284, version 1

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

Matteo Astorino () 1, Franz Chouly () 1, Miguel Angel Fernandez Varela () 1

(2009)

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 1
  • oai:hal.inria.fr:inria-00361284
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  • Soumis le : Vendredi 13 Février 2009, 15:57:36
  • Dernière modification le : Samedi 14 Février 2009, 14:51:41