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Stabilization of explicit coupling in fluid-structure interaction involving fluid incompressibility

Erik Burman 1 Miguel Angel Fernández 2
2 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 work we propose a stabilized explicit coupling scheme for fluid-structure interaction problems involving a viscous incompressible fluid. The coupled discrete formulation is based on Nitsche's method with a time penalty term giving L^2-control on the fluid force variations at the interface. The scheme is stable, in the energy norm, irrespectively of the fluid-structure density ratio. Numerical experiments, in two and three dimensions, show that optimal time accuracy can be obtained by performing a few defect-correction iterations
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https://hal.inria.fr/inria-00247409
Contributor : Miguel Angel Fernández Connect in order to contact the contributor
Submitted on : Monday, February 11, 2008 - 10:34:21 AM
Last modification on : Tuesday, January 11, 2022 - 11:16:21 AM
Long-term archiving on: : Friday, November 25, 2016 - 7:52:05 PM

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  • HAL Id : inria-00247409, version 3

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Erik Burman, Miguel Angel Fernández. Stabilization of explicit coupling in fluid-structure interaction involving fluid incompressibility. [Research Report] RR-6445, 2008. ⟨inria-00247409v3⟩

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