A loosely coupled scheme for fictitious domain approximations of fluid-structure interaction problems with immersed thin-walled structures - Archive ouverte HAL Access content directly
Journal Articles SIAM Journal on Scientific Computing Year : 2019

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

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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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Dates and versions

hal-01811290 , version 1 (08-06-2018)
hal-01811290 , version 2 (26-03-2019)

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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, 2019, 41 (2), pp.351-374. ⟨10.1137/18M1192779⟩. ⟨hal-01811290v2⟩
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