Publikation: Modeling and Numerical Simulation of Fully Eulerian Fluid-Structure Interaction Using Cut Finite Elements
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2025
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SEQUEIRA, Adelia, Hrsg., Ana SILVESTRE, Hrsg., Svilen S. VALTECHEV, Hrsg., Joao JANELA, Hrsg.. Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 1. Cham: Springer Nature Switzerland, 2025, S. 313-323. Lecture Notes in Computational Science and Engineering. 153. ISBN 978-3-031-86175-8. Verfügbar unter: doi: 10.1007/978-3-031-86173-4_32
Zusammenfassung
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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510 Mathematik
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ENUMATH 2023, the European Conference on Numerical Mathematics and Advanced Applications, 4. Sept. 2023 - 8. Sept. 2023, Lisabon, Portugal
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FREI, Stefan, Tobias KNOKE, Marc C. STEINBACH, Anne-Kathrin WENSKE, Thomas WICK, 2025. Modeling and Numerical Simulation of Fully Eulerian Fluid-Structure Interaction Using Cut Finite Elements. ENUMATH 2023, the European Conference on Numerical Mathematics and Advanced Applications. Lisabon, Portugal, 4. Sept. 2023 - 8. Sept. 2023. In: SEQUEIRA, Adelia, Hrsg., Ana SILVESTRE, Hrsg., Svilen S. VALTECHEV, Hrsg., Joao JANELA, Hrsg.. Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 1. Cham: Springer Nature Switzerland, 2025, S. 313-323. Lecture Notes in Computational Science and Engineering. 153. ISBN 978-3-031-86175-8. Verfügbar unter: doi: 10.1007/978-3-031-86173-4_32BibTex
@inproceedings{Frei2025Model-75468,
title={Modeling and Numerical Simulation of Fully Eulerian Fluid-Structure Interaction Using Cut Finite Elements},
year={2025},
doi={10.1007/978-3-031-86173-4_32},
number={153},
isbn={978-3-031-86175-8},
address={Cham},
publisher={Springer Nature Switzerland},
series={Lecture Notes in Computational Science and Engineering},
booktitle={Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 1},
pages={313--323},
editor={Sequeira, Adelia and Silvestre, Ana and Valtechev, Svilen S. and Janela, Joao},
author={Frei, Stefan and Knoke, Tobias and Steinbach, Marc C. and Wenske, Anne-Kathrin and Wick, Thomas}
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