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An unfitted mesh semi-implicit coupling scheme for fluid-structure interaction with immersed solids

Miguel Angel Fernández 1 Fannie Gerosa 1
1 COMMEDIA - COmputational Mathematics for bio-MEDIcal Applications
Inria de Paris, LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions
Abstract : Unfitted mesh finite element approximations of immersed incompressible fluid-structure interaction problems which efficiently avoid strong coupling without compromising stability and accuracy are rare in the literature. Moreover, most of the existing approaches introduce additional unknowns or are limited by penalty terms which yield ill conditioning issues. In this paper, we introduce a new unfitted mesh semi-implicit coupling scheme which avoids these issues. To this purpose, we provide a consistent generalization of the projection based semi-implicit coupling paradigm of [Int. J. Num. Meth. Engrg.,69(4):794-821, 2007] to the unfitted mesh Nitsche-XFEM framework.
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https://hal.inria.fr/hal-02288723
Contributor : Miguel Angel Fernández <>
Submitted on : Sunday, September 15, 2019 - 9:46:39 PM
Last modification on : Wednesday, June 2, 2021 - 4:26:52 PM
Long-term archiving on: : Saturday, February 8, 2020 - 12:34:31 PM

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Miguel Angel Fernández, Fannie Gerosa. An unfitted mesh semi-implicit coupling scheme for fluid-structure interaction with immersed solids. International Journal for Numerical Methods in Engineering, Wiley, In press, ⟨10.1002/nme.6449⟩. ⟨hal-02288723⟩

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