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A Nitsche-based formulation for fluid-structure interactions with contact

Burman, E; Fernandez, MA; Frei, S; (2020) A Nitsche-based formulation for fluid-structure interactions with contact. ESAIM: M2AN , 54 (2) pp. 531-564. 10.1051/m2an/2019072. Green open access

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Abstract

We derive a Nitsche-based formulation for fluid-structure interaction (FSI) problems with contact. The approach is based on the work of Chouly and Hild (SIAM J. Numer. Anal. 51 (2013) 1295–1307) for contact problems in solid mechanics. We present two numerical approaches, both of them formulating the FSI interface and the contact conditions simultaneously in equation form on a joint interface-contact surface Γ(t). The first approach uses a relaxation of the contact conditions to allow for a small mesh-dependent gap between solid and wall. The second alternative introduces an artificial fluid below the contact surface. The resulting systems of equations can be included in a consistent fashion within a monolithic variational formulation, which prevents the so-called “chattering” phenomenon. To deal with the topology changes in the fluid domain at the time of impact, we use a fully Eulerian approach for the FSI problem. We compare the effect of slip and no-slip interface conditions and study the performance of the method by means of numerical examples.

Type: Article
Title: A Nitsche-based formulation for fluid-structure interactions with contact
Open access status: An open access version is available from UCL Discovery
DOI: 10.1051/m2an/2019072
Publisher version: https://doi.org/10.1051/m2an/2019072
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Fluid-structure interaction, contact mechanics, Eulerian formalism, Nitsche’s method, slip conditions
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/10094028
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