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Comptes Rendus de l Académie des Sciences - Series I - Mathematics 347, 1-2 (2009)
An added-mass free semi-implicit coupling scheme for fluid-structure interaction
Matteo Astorino 1, Franz Chouly 1, Miguel Angel Fernández ( ) 1
(2009)

In this note 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 relies on the implicit treatment of the pressure stresses and on the Nitsche's treatment of the viscous coupling.
1 :  REO (INRIA Paris-Rocquencourt)
INRIA – Laboratoire Jacques-Louis Lions
Mathématiques/Analyse numérique