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An added-mass free semi-implicit coupling scheme for fluid-structure interaction. (English. Abridged French version) Zbl 1156.74051
Summary: We propose a semi-implicit coupling scheme for numerical simulation of fluid-structure interaction involving a viscous incompressible fluid. The scheme is stable irrespectively of the so-called added-mass effect and allows for conservative time-stepping within the structure. The efficiency of the scheme is based on an explicit splitting of viscous effects and geometrical/convective non-linearities, through the use of Chorin-Temam projection scheme within the fluid. Stability relies on the implicit treatment of the pressure stresses and on Nitsche’s treatment of the viscous coupling.

74S20Finite difference methods in solid mechanics
74F10Fluid-solid interactions
76D05Navier-Stokes equations (fluid dynamics)
Full Text: DOI
[1] M. Astorino, F. Chouly, M.A. Fernández, An added-mass free semi-implicit coupling scheme in fluid -- structure interaction: numerical analysis and applications, in preparation · Zbl 1156.74051 · doi:10.1016/j.crma.2008.11.003
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