Towards a computational framework using finite element methods with Arbitrary Lagrangian-Eulerian approach for swimmers with contact
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929474344321024 |
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| author | Van Landeghem, Céline Berti, Luca Giraldi, Laëtitia Prud'Homme, Christophe |
| author_facet | Van Landeghem, Céline Berti, Luca Giraldi, Laëtitia Prud'Homme, Christophe |
| contents | Swimming involves a body's capability to navigate through a fluid by undergoing self-deformations. Typically, fluid dynamics are described by the Navier-Stokes equations, and when integrated with a swimming body, it results in a highly intricate model. This paper introduces a computational framework for simulating the movement of multiple swimmers with various geometries immersed in a Navier-Stokes fluid. The approach relies on the finite element method with an Arbitrary Lagrangian-Eulerian (ALE) framework to handle swimmer displacements. Numerous numerical experiments demonstrate the adaptability of the computational framework across various scenarios.All the implementations are made using the Feel++ finite element library. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_14065 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Towards a computational framework using finite element methods with Arbitrary Lagrangian-Eulerian approach for swimmers with contact Van Landeghem, Céline Berti, Luca Giraldi, Laëtitia Prud'Homme, Christophe Analysis of PDEs Swimming involves a body's capability to navigate through a fluid by undergoing self-deformations. Typically, fluid dynamics are described by the Navier-Stokes equations, and when integrated with a swimming body, it results in a highly intricate model. This paper introduces a computational framework for simulating the movement of multiple swimmers with various geometries immersed in a Navier-Stokes fluid. The approach relies on the finite element method with an Arbitrary Lagrangian-Eulerian (ALE) framework to handle swimmer displacements. Numerous numerical experiments demonstrate the adaptability of the computational framework across various scenarios.All the implementations are made using the Feel++ finite element library. |
| title | Towards a computational framework using finite element methods with Arbitrary Lagrangian-Eulerian approach for swimmers with contact |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2408.14065 |