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An added-mass free semi-implicit coupling scheme for fluid-structure interaction

Matteo Astorino 1 Franz Chouly 1 Miguel Angel Fernández 1, *
* Corresponding author
1 REO - Numerical simulation of biological flows
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt, UPMC - Université Pierre et Marie Curie - Paris 6
Abstract : 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.
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Submitted on : Friday, December 3, 2010 - 2:27:03 PM
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Matteo Astorino, Franz Chouly, Miguel Angel Fernández. An added-mass free semi-implicit coupling scheme for fluid-structure interaction. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2009, 347 (1-2), ⟨10.1016/j.crma.2008.11.003⟩. ⟨inria-00542751⟩



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