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Journal Articles SIAM Journal on Scientific Computing Year : 2009

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

Abstract

In this report, 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 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 the explicit splitting of the viscous effects and geometrical/convective non-linearities, 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.
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Dates and versions

inria-00361284 , version 1 (13-02-2009)
inria-00361284 , version 2 (19-02-2009)

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Matteo Astorino, Franz Chouly, Miguel Angel Fernández. Robin Based Semi-Implicit Coupling in Fluid-Structure Interaction: Stability Analysis and Numerics. SIAM Journal on Scientific Computing, 2009, 31 (6), pp.4041-4065. ⟨10.1137/090749694⟩. ⟨inria-00361284v2⟩
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