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

Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review

Authors

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

Research Organisations

External Research Organisations

  • University of Konstanz

Details

Original languageEnglish
Title of host publicationNumerical Mathematics and Advanced Applications ENUMATH 2023, Volume 1 - European Conference
EditorsAdélia Sequeira, Ana Silvestre, Svilen S. Valtchev, João Janela
PublisherSpringer Science and Business Media Deutschland GmbH
Pages313-323
Number of pages11
ISBN (electronic)978-3-031-86173-4
ISBN (print)9783031861727
Publication statusPublished - 25 Apr 2025
EventEuropean Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2023 - Lisbon, Portugal
Duration: 4 Sept 2023 → 8 Sept 2023

Publication series

NameLecture Notes in Computational Science and Engineering
Volume153 LNCSE
ISSN (Print)1439-7358
ISSN (electronic)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.

Keywords

    math.NA, cs.NA

ASJC Scopus subject areas

Cite this

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. ed. / Adélia Sequeira; Ana Silvestre; Svilen S. Valtchev; João Janela. Springer Science and Business Media Deutschland GmbH, 2025. p. 313-323 (Lecture Notes in Computational Science and Engineering; Vol. 153 LNCSE).

Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › 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 (eds), Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 1 - European Conference. Lecture Notes in Computational Science and Engineering, vol. 153 LNCSE, Springer Science and Business Media Deutschland GmbH, pp. 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 (Eds.), Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 1 - European Conference (pp. 313-323). (Lecture Notes in Computational Science and Engineering; Vol. 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, editors, Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 1 - European Conference. Springer Science and Business Media Deutschland GmbH. 2025. p. 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. editor / Adélia Sequeira ; Ana Silvestre ; Svilen S. Valtchev ; João Janela. Springer Science and Business Media Deutschland GmbH, 2025. pp. 313-323 (Lecture Notes in Computational Science and Engineering).
Download
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By the same author(s)