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Journal Articles Computer Methods in Applied Mechanics and Engineering Year : 2009

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

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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Dates and versions

inria-00247409 , version 1 (07-02-2008)
inria-00247409 , version 2 (11-02-2008)
inria-00247409 , version 3 (11-02-2008)
inria-00247409 , version 4 (23-10-2008)

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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, 2009, 198 (5-8), pp.766-784. ⟨10.1016/j.cma.2008.10.012⟩. ⟨inria-00247409v4⟩
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