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SIAM Journal on Scientific Computing 31, 6 (2009) 4041-4065
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Robin Based Semi-Implicit Coupling in Fluid-Structure Interaction: Stability Analysis and Numerics
Matteo Astorino 1, Franz Chouly 1, Miguel Angel Fernández ( ) 1
(2009)

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
Mathématiques/Analyse numérique
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