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The process of breaking in surface gravity waves can be characterized by two distinct stages. Breaking onset, defined as the first visible surface manifestation of breaking, is preceded by breaking inception, which is characterized by the…

The criterion for the initiation of breaking demonstrated numerically by Barthelemy et al. (2015) has been investigated in the laboratory for unidirectional wave groups in deep-water and extended to include conditions of moderate wind…

Atmospheric and Oceanic Physics · Physics 2015-09-01 Arvin Saket , William L. Peirson , Michael L. Banner , Xavier Barthelemy , Michael J. Allis

We revisit the classical but as yet unresolved problem of predicting the breaking onset of 2D and 3D irrotational gravity water waves. This study focuses on domains with flat bottom topography and conditions ranging from deep to…

Atmospheric and Oceanic Physics · Physics 2017-04-04 X. Barthelemy , M. L. Banner , W. L. Peirson , F. Fedele , M. Allis , F. Dias

A dynamical understanding of the physical process of surface gravity wave breaking remains an unresolved problem in fluid dynamics. Conceptually, breaking can be described by inception and onset, where breaking inception is the initiation…

The process of breaking of inviscid incompressible flows along a rigid body with slipping boundary conditions is studied. Such slipping flows are compressible, which is the main reason for the formation of a singularity for the gradient of…

Fluid Dynamics · Physics 2022-12-28 E. A. Kuznetsov , E. A. Mikhailov

Accurate prediction of the onset and strength of breaking surface gravity waves is a long-standing problem of significant theoretical and applied interest. Recently, Barth\'el\'emy et al (https://doi.org/10.1017/jfm.2018.93) examined the…

The weakly nonlinear dynamics of the free surface of a dielectric liquid in an electric field directed tangentially to the unperturbed boundary is investigated numerically. Within the framework of the strong field model, when the effects of…

Fluid Dynamics · Physics 2022-11-28 Evgeny A. Kochurin , Olga V. Zubareva , Nikolay M. Zubarev

Numerically computed with high accuracy are periodic traveling waves at the free surface of a two dimensional, infinitely deep, and constant vorticity flow of an incompressible inviscid fluid, under gravity, without the effects of surface…

Fluid Dynamics · Physics 2023-01-25 Sergey A. Dyachenko , Vera Mikyoung Hur , Denis A. Silantyev

We establish a link between vorticity wave interaction and $\mathcal{PT}$-symmetry breaking in shear flow instabilities. The minimal dynamical system for two coupled counter-propagating vorticity waves is shown to be a non-Hermitian system…

Fluid Dynamics · Physics 2023-08-04 Cong Meng , Zhibin Guo

The breaking of surface gravity waves is a key process contributing to air-sea fluxes and turbulent ocean mixing. The highly nonlinear nature of wave breaking, combined with the challenges of observing this process in a laboratory or field…

Using the same measurement techniques as those of Saket et al. (2017), we have investigated the breaking threshold proposed by Barthelemy et al. (arXiv:1508.06002v1, 2015b) but for different classes of unforced unidirectional wave groups in…

Atmospheric and Oceanic Physics · Physics 2017-03-14 Arvin Saket , William L. Peirson , Michael L. Banner , Michael J. Allis

We study at the laboratory scale the rupture of thin floating sheets made of a brittle material under a wave-induced mechanical forcing. We show that the rupture occurs where the curvature is maximum and the break-up threshold strongly…

Fluid Dynamics · Physics 2025-12-10 Baptiste Auvity , Laurent Duchemin , Antonin Eddi , Stéphane Perrard

Deep-water surface wave breaking affects the transfer of mass, momentum, energy and heat between the air and sea. Understanding when and how the onset of wave breaking will occur remains a challenge. The mechanisms that form steep waves,…

Fluid Dynamics · Physics 2024-02-02 M. L. McAllister , N. Pizzo , S. Draycott , T. S. van den Bremer

Wave steepness is a key geometric variable for describing breaking occurrence and its consequences, including energy dissipation and air entrainment. Using three laboratory campaigns under varying spectral conditions and co-flowing wind…

Fluid Dynamics · Physics 2026-05-29 Rui Cao , Enrique M. Padilla , Xu Chen , Adrian H. Callaghan

For models describing water waves, Constantin and Escher's works have long been considered as the cornerstone method for proving wave breaking phenomena. Their rigorous analytic proof shows that if the lowest slope of flows can be…

Analysis of PDEs · Mathematics 2018-12-27 Yongki Lee

Forecasting the imminent catastrophic failure has a high importance for a large variety of systems from the collapse of engineering constructions, through the emergence of landslides and earthquakes, to volcanic eruptions. Failure forecast…

Disordered Systems and Neural Networks · Physics 2020-10-23 Viktória Kádár , Gergő Pál , Ferenc Kun

A gradient-wind balanced flow with an elliptic streamline parametrically excites internal inertia-gravity waves through ageostrophic anticyclonic instability (AAI). This study numerically investigates the breaking of internal waves and the…

Fluid Dynamics · Physics 2023-06-23 Yohei Onuki , Sylvain Joubaud , Thierry Dauxois

In this paper, we report new insight into a symmetry-breaking phenomenon that occurs for turbulent flow in periodic porous media composed of cylindrical solid obstacles with circular cross-section. We have used Large Eddy Simulation to…

Fluid Dynamics · Physics 2025-02-24 Vishal Srikanth , Andrey V. Kuznetsov

We study the fate of internal gravity waves, which are excited by tidal forcing by a short-period planet at the interface of convection and radiation zones, approaching the centre of a solar-type star. We study at what amplitude these wave…

Earth and Planetary Astrophysics · Physics 2015-05-18 A. J. Barker , G. I. Ogilvie

We investigate the validity and robustness of the Barthelemy et al. (2018) breaking wave onset prediction framework for surface gravity water waves in arbitrary water depth, including shallow water breaking over varying bathymetry. We show…

Fluid Dynamics · Physics 2019-11-19 Morteza Derakhti , James T. Kirby , Michael L. Banner , Stephan T. Grilli , Jim Thomson
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