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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…

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

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…

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…

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

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

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…

We investigate the energy growth and dissipation of wind-forced breaking waves at high wind speed using direct numerical simulations of the coupled air-water Navier-Stokes equations. A turbulent wind boundary layer drives the growth of a…

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

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

The present study focuses on direct numerical simulations of breaking waves generated by a wave plate at constant water depths. The aim is to quantify the dynamics and kinematics in the breaking process, together with the air entrainment…

This paper presents a novel method for obtaining the probability wave of breaking ($P_b$) of deep water, dominant wind-sea waves (that is, waves made of the energy within $\pm$30\% of the peak wave frequency) derived from Gaussian wave…

Atmospheric and Oceanic Physics · Physics 2021-01-29 Caio Eadi Stringari , Marc Prevosto , Jean François Filipot , Fabien Leckler , Pedro Veras Guimarães

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

This paper addresses deep-water gravity waves of finite amplitude generated by an initial disturbance to the water. It is assumed that the horizontal dimensions of the initially disturbed body of the water are much larger than the magnitude…

Atmospheric and Oceanic Physics · Physics 2014-08-20 Ilia M. Mindlin

The modeling of wave breaking dissipation in coastal areas is investigated with a fully nonlinear and dispersive wave model. The wave propagation model is based on potential flow theory, which initially assumes non-overturning waves.…

Atmospheric and Oceanic Physics · Physics 2019-12-05 Bruno Simon , Christos E. Papoutsellis , Michel Benoit , Marissa L. Yates

We consider the 2D gravity water waves equation on an infinite domain. We prove a local wellposedness result which allows interfaces with corners and cusps as initial data and which is such that the time of existence of solutions is uniform…

Analysis of PDEs · Mathematics 2026-04-17 Siddhant Agrawal

The gravity water waves equations describe the evolution of the surface of an incompressible, irrotational fluid in the presence of gravity. The classical regularity threshold for the well-posedness of this system requires initial velocity…

Analysis of PDEs · Mathematics 2018-11-27 Albert Ai

Wave breaking is a critical process in the upper ocean: an energy sink for the surface wave field and a source for turbulence in the ocean surface boundary layer. We apply a novel multi-layer numerical solver resolving upper-ocean dynamics…

Fluid Dynamics · Physics 2025-10-13 Jiarong Wu , Stéphane Popinet , Bertrand Chapron , J. Thomas Farrar , Luc Deike

We study the fate of internal gravity waves approaching the centre of a non-rotating solar-type star, by performing 3D numerical simulations using a Boussinesq-type model. These waves are excited at the top of the radiation zone by the…

Earth and Planetary Astrophysics · Physics 2015-05-27 A. J. Barker

We present a dynamical-systems perspective on wave breaking for ideal incompressible free-surface flows. By tracking the most energetic hotspot on the wave surface, we find that near breaking the surface slope m evolves on a fast timescale…

Fluid Dynamics · Physics 2026-01-19 Francesco Fedele
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