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 2
* Corresponding author
1 COMMEDIA - COmputational Mathematics for bio-MEDIcal Applications
Inria de Paris, LJLL - Laboratoire Jacques-Louis Lions
2 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.
Document type :
Journal articles
Complete list of metadatas

Cited literature [66 references]  Display  Hide  Download

https://hal.inria.fr/hal-01811290
Contributor : Miguel Angel Fernández <>
Submitted on : Tuesday, March 26, 2019 - 11:26:38 PM
Last modification on : Monday, September 30, 2019 - 1:08:02 PM
Long-term archiving on : Thursday, June 27, 2019 - 6:24:24 PM

File

M119277-gg (1).pdf
Files produced by the author(s)

Identifiers

Citation

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⟩

Share

Metrics

Record views

139

Files downloads

1103