Robin Based Semi-Implicit Coupling in Fluid-Structure Interaction: Stability Analysis and Numerics

Authors:
Matteo Astorino;Franz Chouly;Miguel A. Fernández
Affiliations:
matteo.astorino@inria.fr and franz.chouly@inria.fr and miguel.fernandez@inria.fr;-;-
Venue:
SIAM Journal on Scientific Computing
Year:
2009

Citing 0
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Abstract

In this paper, we propose a semi-implicit coupling scheme for the numerical simulation of fluid-structure interaction systems involving a viscous incompressible fluid. The scheme is stable irrespective of the so-called added-mass effect and allows for conservative time-stepping within the structure. The efficiency of the scheme is based on the explicit splitting of the viscous effects and geometrical/convective nonlinearities through the use of the Chorin-Temam projection scheme within the fluid. Stability comes from the implicit pressure-solid coupling and a specific Robin treatment of the explicit viscous-solid coupling, derived from Nitsche's method.