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

Burman, Erik and Fernández, Miguel A (2009) Stabilization of explicit coupling in fluid-structure interaction involving fluid incompressibility. Computer Methods in Applied Mechanics and Engineering, 198 (5-8). pp. 766-784. ISSN 0045-7825

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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. 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.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Depositing User: Erik Burman
Date Deposited: 06 Feb 2012 18:45
Last Modified: 03 Apr 2012 13:55
URI: http://sro.sussex.ac.uk/id/eprint/18138
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