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

Burman, Erik; Fernández, Miguel A.; Frei, Stefan

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

Dateien

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Datum

2020

Autor:innen

Burman, Erik

Fernández, Miguel A.

Frei, Stefan

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

ESAIM: Mathematical Modelling and Numerical Analysis ; 54 (2020), 2. - S. 531-564. - EDP Sciences ; Société de Mathématiques Appliquées & Industrielles. - ISSN 0764-583X. - eISSN 1290-3841

Zusammenfassung

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.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

Fluid-structure interaction, contact mechanics, Eulerian formalism, Nitsche’s method, slip conditions

Zitieren

ISO 690

BURMAN, Erik, Miguel A. FERNÁNDEZ, Stefan FREI, 2020. A Nitsche-based formulation for fluid-structure interactions with contact. In: ESAIM: Mathematical Modelling and Numerical Analysis. EDP Sciences ; Société de Mathématiques Appliquées & Industrielles. 54(2), pp. 531-564. ISSN 0764-583X. eISSN 1290-3841. Available under: doi: 10.1051/m2an/2019072

BibTex

@article{Burman2020Nitsc-55813,
  year={2020},
  doi={10.1051/m2an/2019072},
  title={A Nitsche-based formulation for fluid-structure interactions with contact},
  number={2},
  volume={54},
  issn={0764-583X},
  journal={ESAIM: Mathematical Modelling and Numerical Analysis},
  pages={531--564},
  author={Burman, Erik and Fernández, Miguel A. and Frei, Stefan}
}

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