Numerical methods for immersed FSI with thin-walled structures

•Nitsche-XFEM method tested for the first time in a fully non-linear framework.•Best accuracy results obtained with the Nitsche-XFEM method.•Accuracy issues in fictitious domains methods driven by artificial mass loss.•Modification of the fluid stabilization overcomes this issue but yields illcondit...

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Bibliographic Details
Published in:Computers & fluids 2019-01, Vol.179, p.744-763
Main Authors: Boilevin-Kayl, Ludovic, Fernández, Miguel A., Gerbeau, Jean-Frédéric
Format: Article
Language:English
Subjects:
ALE (numerical method)
Arbitrary Lagrangian–Eulerian method
Computational fluid dynamics
Computer simulation
Fictitious domain method
Fitted meshes
Fluid flow
Fluid–structure interaction
Immersed thin-walled structure
Incompressible flow
Incompressible fluid
Incompressible fluids
Lagrange multiplier
Mathematics
Nitsche method
Numerical Analysis
Numerical methods
Thin wall structures
Unfitted meshes
XFEM method
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Summary:•Nitsche-XFEM method tested for the first time in a fully non-linear framework.•Best accuracy results obtained with the Nitsche-XFEM method.•Accuracy issues in fictitious domains methods driven by artificial mass loss.•Modification of the fluid stabilization overcomes this issue but yields illconditioning.•Robust fictitious domains methods remain to be developed for low-order approximations. 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.
ISSN:0045-7930
1879-0747
DOI:10.1016/j.compfluid.2018.05.024