IRENE: a fluId layeR finitE-elemeNt softwarE

Fuente: arXiv
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Auteurs principaux: Wörthmüller, Dennis, Ferraro, Gaetano, Sens, Pierre, Castellana, Michele
Format: Preprint
Publié: 2025
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author Wörthmüller, Dennis
Ferraro, Gaetano
Sens, Pierre
Castellana, Michele
author_facet Wörthmüller, Dennis
Ferraro, Gaetano
Sens, Pierre
Castellana, Michele
contents We present a finite-element software library, IRENE, which allows to solve numerically the dynamics of a viscous fluid layer embedded in three-dimensional space. Unlike finite-element libraries present in the literature, IRENE can handle two-dimensional open surfaces with a wide range of boundary conditions, and inter-surface obstacles with any shapes, and is built upon the user-friendly and versatile finite element computational software (FEniCS). Also, the library can describe a wide range of physical regimes--both low-Reynolds-number and inertia-dominated ones--capturing the complex coupling between in-plane flows, out-of-plane deformations, surface tension, and elastic response. We validate IRENE against known analytical and numerical results, and demonstrate its capabilities through physical examples. Overall, IRENE provides a versatile and efficient tool for understanding fluid-layer dynamics on multiple physical scales, from flows of lipidic membranes on a microscopic level, to fluid flows on a macroscopic scale, to atmospheric air flows on a planetary level.
format Preprint
id arxiv_https___arxiv_org_abs_2506_17827
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle IRENE: a fluId layeR finitE-elemeNt softwarE
Wörthmüller, Dennis
Ferraro, Gaetano
Sens, Pierre
Castellana, Michele
Fluid Dynamics
Computational Physics
We present a finite-element software library, IRENE, which allows to solve numerically the dynamics of a viscous fluid layer embedded in three-dimensional space. Unlike finite-element libraries present in the literature, IRENE can handle two-dimensional open surfaces with a wide range of boundary conditions, and inter-surface obstacles with any shapes, and is built upon the user-friendly and versatile finite element computational software (FEniCS). Also, the library can describe a wide range of physical regimes--both low-Reynolds-number and inertia-dominated ones--capturing the complex coupling between in-plane flows, out-of-plane deformations, surface tension, and elastic response. We validate IRENE against known analytical and numerical results, and demonstrate its capabilities through physical examples. Overall, IRENE provides a versatile and efficient tool for understanding fluid-layer dynamics on multiple physical scales, from flows of lipidic membranes on a microscopic level, to fluid flows on a macroscopic scale, to atmospheric air flows on a planetary level.
title IRENE: a fluId layeR finitE-elemeNt softwarE
topic Fluid Dynamics
Computational Physics
url https://arxiv.org/abs/2506.17827