Fully decoupled time-marching schemes for incompressible fluid/thin-walled structure interaction

Miguel Angel Fernández 1 Mikel Landajuela 1 Marina Vidrascu 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 fully decoupled time-marching schemes (velocity-pressure-displacement splitting) for the coupling of an incompressible fluid with a thin-walled elastic or viscoelastic structure. The time splitting combines a projection method in the fluid with a specific Robin-Neumann treatment of the interface coupling. A priori energy estimates guaranteeing unconditional stability are established for some of the schemes. The accuracy and performance of the methods proposed is illustrated by a thorough numerical study.
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Miguel Angel Fernández, Mikel Landajuela, Marina Vidrascu. Fully decoupled time-marching schemes for incompressible fluid/thin-walled structure interaction. Journal of Computational Physics, Elsevier, 2015, 297, pp.156-181. ⟨10.1016/j.jcp.2015.05.009⟩. ⟨hal-00918498v4⟩

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