Towards a computational framework using finite element methods with Arbitrary Lagrangian-Eulerian approach for swimmers with contact
Analysis of PDEs
2024-08-27 v1
Abstract
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.
Cite
@article{arxiv.2408.14065,
title = {Towards a computational framework using finite element methods with Arbitrary Lagrangian-Eulerian approach for swimmers with contact},
author = {Céline Van Landeghem and Luca Berti and Laëtitia Giraldi and Christophe Prud'Homme},
journal= {arXiv preprint arXiv:2408.14065},
year = {2024}
}