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Bibliographic Details
Main Authors: Frei, Stefan, Knoke, Tobias, Steinbach, Marc C., Wenske, Anne-Kathrin, Wick, Thomas
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2402.00209
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Table of Contents:
  • 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.