A projection algorithm for fluid-stucture interaction problems with strong added-mass effect

Miguel Angel Fernández 1 Jean-Frédéric Gerbeau 1 Céline Grandmont 1
1 REO - Numerical simulation of biological flows
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt, UPMC - Université Pierre et Marie Curie - Paris 6
Abstract : This Note aims at introducing a semi-implicit coupling scheme for fluid-structure interaction problems with a strong added-mass effect. Our main idea relies on the splitting of added-mass, viscous effects and geometrical/convective non-linearities, through a Chorin-Temam projection scheme within the fluid. We state some theoretical stability results, in the linear case, and provide some numerical experiments. The main interest of the proposed scheme is its efficiency compared to the implicit approach.
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Journal articles
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https://hal.inria.fr/hal-00701684
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Submitted on : Friday, May 25, 2012 - 6:53:55 PM
Last modification on : Tuesday, May 14, 2019 - 10:17:44 AM

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Miguel Angel Fernández, Jean-Frédéric Gerbeau, Céline Grandmont. A projection algorithm for fluid-stucture interaction problems with strong added-mass effect. Comptes Rendus Mathématique, Elsevier Masson, 2006, 342 (4), pp.279-284. ⟨10.1016/j.crma.2005.12.017⟩. ⟨hal-00701684⟩

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