Sub-surface turbulence and free-surface features

Fuente: arXiv
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Main Authors: Ferran, Amélie, Semati, Ali, Rouaud, Anaïs, Hearst, R. Jason, Ellingsen, Simen Å
Format: Preprint
Published: 2026
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author Ferran, Amélie
Semati, Ali
Rouaud, Anaïs
Hearst, R. Jason
Ellingsen, Simen Å
author_facet Ferran, Amélie
Semati, Ali
Rouaud, Anaïs
Hearst, R. Jason
Ellingsen, Simen Å
contents Many turbulent flows encountered in nature -- seas, oceans and rivers -- are bounded by a deformable free surface. A question that remained to be fully explored is to what extent the underlying turbulent flow field can be revealed solely by observing the surface deformations. In this study, we attempt to correlate free-surface topological deformations with the underlying turbulent flow field. We report an experimental investigation of the free surface in the wake of a surface-piercing cylinder and turbulence created by an active grid in an open-channel flow. We are able to study instantaneous events of surface indentations and their related sub-surface coherent structures, as well as statistical properties of velocity and surface motion. We observe weak cross-correlation between the vorticity field and the surface when considering the global surface elevation field. Slightly stronger correlations emerge when conditioning the surface on specific regions, even in the case of three-dimensional homogeneous isotropic turbulence.
format Preprint
id arxiv_https___arxiv_org_abs_2605_26746
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Sub-surface turbulence and free-surface features
Ferran, Amélie
Semati, Ali
Rouaud, Anaïs
Hearst, R. Jason
Ellingsen, Simen Å
Fluid Dynamics
Many turbulent flows encountered in nature -- seas, oceans and rivers -- are bounded by a deformable free surface. A question that remained to be fully explored is to what extent the underlying turbulent flow field can be revealed solely by observing the surface deformations. In this study, we attempt to correlate free-surface topological deformations with the underlying turbulent flow field. We report an experimental investigation of the free surface in the wake of a surface-piercing cylinder and turbulence created by an active grid in an open-channel flow. We are able to study instantaneous events of surface indentations and their related sub-surface coherent structures, as well as statistical properties of velocity and surface motion. We observe weak cross-correlation between the vorticity field and the surface when considering the global surface elevation field. Slightly stronger correlations emerge when conditioning the surface on specific regions, even in the case of three-dimensional homogeneous isotropic turbulence.
title Sub-surface turbulence and free-surface features
topic Fluid Dynamics
url https://arxiv.org/abs/2605.26746