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

journal contribution
posted on 2023-06-07, 21:13 authored by Erik Burman, Miguel A Fernández
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. For a linear model problem, we prove that the scheme is stable, in the energy norm, irrespectively of the so-called added-mass effect, namely, the fluid-structure density ratio and the geometry of the domain. Numerical experiments, in the linear and non-linear case, show that optimal time accuracy can be obtained by performing one defect-correction iteration.

History

Publication status

  • Published

Journal

Computer Methods in Applied Mechanics and Engineering

ISSN

0045-7825

Issue

5-8

Volume

198

Page range

766-784

Pages

19.0

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

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