An integrated theoretical, experimental, and numerical study of small-amplitude water waves

Fuente: arXiv
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Autori principali: Náraigh, Lennon Ó, Farault, Nicolas, Young, Nicola
Natura: Preprint
Pubblicazione: 2025
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author Náraigh, Lennon Ó
Farault, Nicolas
Young, Nicola
author_facet Náraigh, Lennon Ó
Farault, Nicolas
Young, Nicola
contents We introduce an inexpensive experimental setup for analyzing free-surface water waves: a $1\,\mathrm{m}$-long tabletop flume made from perspex, driven by a variable-frequency piston wavemaker built from Lego. Using mobile-phone video capture, we collect experimental data and compare it with predictions from linear gravity-capillary wave theory and with multiphase simulations performed in OpenFOAM. We find excellent quantitative agreement across all three approaches. Our setup may be valuable for students with a background in Mathematical Modelling who lack hands-on laboratory experience. To explore this, we report on a survey of students who completed an integrated theoretical, experimental, and computational project. While students found the experience enhanced their learning of Fluid Mechanics, they also noted the need for better support in setting up and running CFD simulations.
format Preprint
id arxiv_https___arxiv_org_abs_2507_18403
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle An integrated theoretical, experimental, and numerical study of small-amplitude water waves
Náraigh, Lennon Ó
Farault, Nicolas
Young, Nicola
Fluid Dynamics
We introduce an inexpensive experimental setup for analyzing free-surface water waves: a $1\,\mathrm{m}$-long tabletop flume made from perspex, driven by a variable-frequency piston wavemaker built from Lego. Using mobile-phone video capture, we collect experimental data and compare it with predictions from linear gravity-capillary wave theory and with multiphase simulations performed in OpenFOAM. We find excellent quantitative agreement across all three approaches. Our setup may be valuable for students with a background in Mathematical Modelling who lack hands-on laboratory experience. To explore this, we report on a survey of students who completed an integrated theoretical, experimental, and computational project. While students found the experience enhanced their learning of Fluid Mechanics, they also noted the need for better support in setting up and running CFD simulations.
title An integrated theoretical, experimental, and numerical study of small-amplitude water waves
topic Fluid Dynamics
url https://arxiv.org/abs/2507.18403