Modeling and numerical simulation of fully Eulerian fluid-structure interaction using cut finite elements

Research output: Working paper/PreprintPreprint

Authors

  • Stefan Frei
  • Tobias Knoke
  • Marc C. Steinbach
  • Anne-Kathrin Wenske
  • Thomas Wick
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Original languageEnglish
Publication statusE-pub ahead of print - 31 Jan 2024

Abstract

We present a monolithic finite element formulation for (nonlinear) fluid-structure interaction in Eulerian coordinates. For the discretization we employ an unfitted finite element method based on inf-sup stable finite elements. So-called ghost penalty terms are used to guarantee the robustness of the approach independently of the way the interface cuts the finite element mesh. The resulting system is solved in a monolithic fashion using Newton's method. Our developments are tested on a numerical example with fixed interface.

Keywords

    math.NA, cs.NA

Cite this

Modeling and numerical simulation of fully Eulerian fluid-structure interaction using cut finite elements. / Frei, Stefan; Knoke, Tobias; Steinbach, Marc C. et al.
2024.

Research output: Working paper/PreprintPreprint

Frei S, Knoke T, Steinbach MC, Wenske AK, Wick T. Modeling and numerical simulation of fully Eulerian fluid-structure interaction using cut finite elements. 2024 Jan 31. Epub 2024 Jan 31. doi: 10.48550/arXiv.2402.00209
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