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

Erik Burman (1) , Miguel Angel Fernández (2)

1 Department of Mathematics [Sussex]
2 REO - Numerical simulation of biological flows

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

Domaines: Analyse numérique [math.NA]

Erik Burman, Miguel Angel Fernández. Stabilization of explicit coupling in fluid-structure interaction involving fluid incompressibility. [Research Report] 2008. ⟨inria-00247409v1⟩