Numerical methods for immersed FSI with thin-walled structures

Ludovic Boilevin-Kayl 1 Miguel Angel Fernández 1 Jean-Frédéric Gerbeau 2
1 COMMEDIA - COmputational Mathematics for bio-MEDIcal Applications
LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions, Inria de Paris
2 REO - Numerical simulation of biological flows
SU - Sorbonne Université, Inria de Paris, LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions
Abstract : The numerical simulation of a thin-walled structure immersed in an incompressible fluid can be addressed by various methods. In this paper, three of them are considered: the Arbitrary Lagrangian-Eulerian (ALE) method, the Fictitious Domain/Lagrange multipliers (FD) method and the Nitsche-XFEM method. Taking ALE as a reference, the advantages and limitations of FD and Nitsche-XFEM are carefully discussed on three benchmark test cases which have been chosen to be representative of typical difficulties encountered in valves or living cells simulations.
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Submitted on : Wednesday, May 23, 2018 - 12:32:45 PM
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Ludovic Boilevin-Kayl, Miguel Angel Fernández, Jean-Frédéric Gerbeau. Numerical methods for immersed FSI with thin-walled structures. Computers and Fluids, Elsevier, 2019, 179, pp.744-763. ⟨10.1016/j.compfluid.2018.05.024⟩. ⟨hal-01704575v2⟩



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