Modeling and numerical simulation of fully Eulerian fluid-structure interaction using cut finite elements
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866911768819793920 |
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| author | Frei, Stefan Knoke, Tobias Steinbach, Marc C. Wenske, Anne-Kathrin Wick, Thomas |
| author_facet | Frei, Stefan Knoke, Tobias Steinbach, Marc C. Wenske, Anne-Kathrin Wick, Thomas |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_00209 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Modeling and numerical simulation of fully Eulerian fluid-structure interaction using cut finite elements Frei, Stefan Knoke, Tobias Steinbach, Marc C. Wenske, Anne-Kathrin Wick, Thomas Numerical Analysis 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. |
| title | Modeling and numerical simulation of fully Eulerian fluid-structure interaction using cut finite elements |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2402.00209 |