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Incremental displacement-correction schemes for incompressible fluid-structure interaction: stability and convergence analysis

Miguel Angel Fernández 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 paper we introduce a class of incremental displacement-correction schemes for the explicit coupling of a thin-structure with an incompressible fluid. These methods enforce a specific Robin-Neumann explicit treatment of the interface coupling. We provide a general stability and convergence analysis that covers both the incremental and the non-incremental variants. Their stability properties are independent of the added-mass effect. The superior accuracy of the incremental schemes (with respect to the original non-incremental variant) is highlighted by the error estimates, and then confirmed in a benchmark by numerical experiments.
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https://hal.inria.fr/inria-00605890
Contributor : Miguel Angel Fernández <>
Submitted on : Wednesday, February 1, 2012 - 2:59:11 PM
Last modification on : Saturday, March 28, 2020 - 2:24:56 AM
Long-term archiving on: : Wednesday, December 14, 2016 - 4:02:03 AM

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Miguel Angel Fernández. Incremental displacement-correction schemes for incompressible fluid-structure interaction: stability and convergence analysis. Numerische Mathematik, Springer Verlag, 2013, 123 (1), pp.21-65. ⟨10.1007/s00211-012-0481-9⟩. ⟨inria-00605890v3⟩

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