A loosely coupled scheme for fictitious domain approximations of fluid-structure interaction problems with immersed thin-walled structures

Ludovic Boilevin-Kayl 1 Miguel Angel Fernández 1, * Jean-Frédéric Gerbeau 1
* Corresponding author
1 REO - Numerical simulation of biological flows
SU - Sorbonne Université, Inria de Paris, LJLL - Laboratoire Jacques-Louis Lions
Abstract : Fictitious domain approximations of fluid-structure interaction problems are generally discretized in time using strongly coupled schemes. This guarantees unconditional stability but at the price of solving a computationally demanding coupled system at each time-step. The design of loosely coupled schemes (i.e., methods that invoke the fluid and solid solvers only once per time-step) is of fundamental interest, especially for three-dimensional simulations, but the existing approaches are known to suffer from severe stability and/or time accuracy issues. We propose a new approach that overcomes these difficulties in the case of the coupling with immersed thin-walled structures.
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Submitted on : Tuesday, March 26, 2019 - 11:26:38 PM
Last modification on : Wednesday, May 15, 2019 - 3:43:58 AM

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Ludovic Boilevin-Kayl, Miguel Angel Fernández, Jean-Frédéric Gerbeau. A loosely coupled scheme for fictitious domain approximations of fluid-structure interaction problems with immersed thin-walled structures. SIAM Journal on Scientific Computing, Society for Industrial and Applied Mathematics, 2019, 41 (2), pp.351-374. ⟨10.1137/18M1192779⟩. ⟨hal-01811290v2⟩

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