Towards a computational framework using finite element methods with Arbitrary Lagrangian-Eulerian approach for swimmers with contact

TL;DR

This paper presents a finite element computational framework using the ALE approach to simulate multi-swimmer dynamics in Navier-Stokes fluids, demonstrating versatility across different scenarios.

Contribution

It introduces a novel finite element-based ALE framework for simulating multiple swimmers with various geometries in fluid environments.

Findings

Framework effectively models swimmer movements in complex fluid flows

Numerical experiments validate adaptability to different scenarios

Feel++ library implementation supports diverse geometries

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.