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
1 REO - Numerical simulation of biological flows
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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SIAM Journal on Scientific Computing, Society for Industrial and Applied Mathematics, In press
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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, In press. 〈hal-01811290〉

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