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 pressure 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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Computer Methods in Applied Mechanics and Engineering, Elsevier, 2009, 198 (5-8), pp.766-784. 〈10.1016/j.cma.2008.10.012〉
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Erik Burman, Miguel Angel Fernández. Stabilization of explicit coupling in fluid-structure interaction involving fluid incompressibility. Computer Methods in Applied Mechanics and Engineering, Elsevier, 2009, 198 (5-8), pp.766-784. 〈10.1016/j.cma.2008.10.012〉. 〈inria-00247409v4〉

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