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arXiv · 2402.00209

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

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

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Stefan Frei, Tobias Knoke, Marc C. Steinbach, Anne-Kathrin Wenske, Thomas Wick. 2024-01-31. Modeling and numerical simulation of fully Eulerian fluid-structure interaction using cut finite elements. https://arxiv.org/abs/2402.00209

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