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

verfasst von

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

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.

Organisationseinheit(en)

Fakultät für Mathematik und Physik
Institut für Angewandte Mathematik

Typ

Preprint

Publikationsdatum

31.01.2024

Publikationsstatus

Elektronisch veröffentlicht (E-Pub)

Elektronische Version(en)

https://doi.org/10.48550/arXiv.2402.00209 (Zugang: Offen)