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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.

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Modeling and Numerical Simulation of Fully Eulerian Fluid-Structure Interaction Using Cut Finite Elements

  • 会议论文

  • 发表日期：

    2025年

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  • Stefan Frei,
  • Tobias Knoke,
  • Marc C. Steinbach,
  • Anne-Kathrin Wenske,
  • Thomas Wick

摘要

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.