A fully decoupled scheme for the interaction of a thin-walled structure with an incompressible fluid

Miguel Angel Fernández 1 Mikel Landajuela 1
1 REO - Numerical simulation of biological flows
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt, UPMC - Université Pierre et Marie Curie - Paris 6
Abstract : In this note we propose a class of fully decoupled schemes (velocity-pressure-displacement splitting) for the coupling of an incompressible fluid with a thin-walled structure. The time splitting is achieved by combining an overall fractional-step time-marching of the system with a specific Robin-Neumann treatment of the interface coupling. The two variants considered yield unconditional stability. Numerical experiments in a benchmark show that, for one of them, the splitting does not compromises the optimal convergence rate.
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Miguel Angel Fernández, Mikel Landajuela. A fully decoupled scheme for the interaction of a thin-walled structure with an incompressible fluid. Comptes Rendus Mathématique, Elsevier Masson, 2013, 351 (3-4), pp.161-164. ⟨10.1016/j.crma.2013.02.015⟩. ⟨hal-00795585⟩

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