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Modeling and Numerical Simulation of Fully Eulerian Fluid-Structure Interaction Using Cut Finite Elements

Publikation: Beitrag in Buch/Bericht/Sammelwerk/Konferenzband › Aufsatz in Konferenzband › Forschung › Peer-Review

Autorschaft

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

Organisationseinheiten

Externe Organisationen

  • Universität Konstanz

Details

OriginalspracheEnglisch
Titel des SammelwerksNumerical Mathematics and Advanced Applications ENUMATH 2023, Volume 1 - European Conference
Herausgeber/-innenAdélia Sequeira, Ana Silvestre, Svilen S. Valtchev, João Janela
Herausgeber (Verlag)Springer Science and Business Media Deutschland GmbH
Seiten313-323
Seitenumfang11
ISBN (elektronisch)978-3-031-86173-4
ISBN (Print)9783031861727
PublikationsstatusVeröffentlicht - 25 Apr. 2025
VeranstaltungEuropean Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2023 - Lisbon, Portugal
Dauer: 4 Sept. 2023 → 8 Sept. 2023

Publikationsreihe

NameLecture Notes in Computational Science and Engineering
Band153 LNCSE
ISSN (Print)1439-7358
ISSN (elektronisch)2197-7100

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.

ASJC Scopus Sachgebiete

Zitieren

Modeling and Numerical Simulation of Fully Eulerian Fluid-Structure Interaction Using Cut Finite Elements. / Frei, Stefan; Knoke, Tobias; Steinbach, Marc C. et al.
Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 1 - European Conference. Hrsg. / Adélia Sequeira; Ana Silvestre; Svilen S. Valtchev; João Janela. Springer Science and Business Media Deutschland GmbH, 2025. S. 313-323 (Lecture Notes in Computational Science and Engineering; Band 153 LNCSE).

Publikation: Beitrag in Buch/Bericht/Sammelwerk/Konferenzband › Aufsatz in Konferenzband › Forschung › Peer-Review

Frei, S, Knoke, T, Steinbach, MC, Wenske, AK & Wick, T 2025, Modeling and Numerical Simulation of Fully Eulerian Fluid-Structure Interaction Using Cut Finite Elements. in A Sequeira, A Silvestre, SS Valtchev & J Janela (Hrsg.), Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 1 - European Conference. Lecture Notes in Computational Science and Engineering, Bd. 153 LNCSE, Springer Science and Business Media Deutschland GmbH, S. 313-323, European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2023, Lisbon, Portugal, 4 Sept. 2023. https://doi.org/10.1007/978-3-031-86173-4_32, https://doi.org/10.48550/arXiv.2402.00209
Frei, S., Knoke, T., Steinbach, M. C., Wenske, A. K., & Wick, T. (2025). Modeling and Numerical Simulation of Fully Eulerian Fluid-Structure Interaction Using Cut Finite Elements. In A. Sequeira, A. Silvestre, S. S. Valtchev, & J. Janela (Hrsg.), Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 1 - European Conference (S. 313-323). (Lecture Notes in Computational Science and Engineering; Band 153 LNCSE). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-031-86173-4_32, https://doi.org/10.48550/arXiv.2402.00209
Frei S, Knoke T, Steinbach MC, Wenske AK, Wick T. Modeling and Numerical Simulation of Fully Eulerian Fluid-Structure Interaction Using Cut Finite Elements. in Sequeira A, Silvestre A, Valtchev SS, Janela J, Hrsg., Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 1 - European Conference. Springer Science and Business Media Deutschland GmbH. 2025. S. 313-323. (Lecture Notes in Computational Science and Engineering). doi: 10.1007/978-3-031-86173-4_32, 10.48550/arXiv.2402.00209
Frei, Stefan ; Knoke, Tobias ; Steinbach, Marc C. et al. / Modeling and Numerical Simulation of Fully Eulerian Fluid-Structure Interaction Using Cut Finite Elements. Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 1 - European Conference. Hrsg. / Adélia Sequeira ; Ana Silvestre ; Svilen S. Valtchev ; João Janela. Springer Science and Business Media Deutschland GmbH, 2025. S. 313-323 (Lecture Notes in Computational Science and Engineering).
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