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.
@article{arxiv.2402.00209,
title = {Modeling and numerical simulation of fully Eulerian fluid-structure interaction using cut finite elements},
author = {Stefan Frei and Tobias Knoke and Marc C. Steinbach and Anne-Kathrin Wenske and Thomas Wick},
journal= {arXiv preprint arXiv:2402.00209},
year = {2024}
}