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Nonlinear interaction and breaking of internal ocean waves are responsible for much of the interior ocean mixing, affecting ocean carbon storage and the global overturning circulation. These interactions may affect the observed Garrett-Munk…

Chaotic Dynamics · Physics 2025-12-16 Golan Bel , Eli Tziperman

Modeling ocean surface waves under complex ocean current conditions is of crucial importance to many naval applications. For example, traveling ships and underwater vehicles generate spatially heterogeneous currents behind them through…

Fluid Dynamics · Physics 2022-02-15 Tianyi Li , Anqing Xuan , Lian Shen

Across the stable density stratification of the abyssal ocean, deep dense water is slowly propelled upward by sustained, though irregular, turbulent mixing. The resulting mean upwelling determines large-scale oceanic circulation properties…

High-frequency wave propagation in near-inertial wave shear has been considered fundamental in setting the spectral character of the oceanic internal wave continuum and for transporting energy to wave-breaking. We compare idealized ray…

Atmospheric and Oceanic Physics · Physics 2023-10-27 Kurt L Polzin , Yuri V Lvov

A mechanistic theory of wind-wave interaction must rely on verifiable assumptions and offer reproducible observable predictions. For decades, the limited mechanistic grasp on the problem has motivated RANS and LES modeling and has driven a…

Fluid Dynamics · Physics 2018-02-15 Tihomir Hristov

In weakly nonlinear dispersive wave systems, long-time dynamics are typically governed by time resonances, where wave phases evolve coherently due to exact frequency matching. Recent advances in spatio-temporal spectrum measurements,…

Pattern Formation and Solitons · Physics 2025-12-09 Michal Shavit , Fabio Pusateri , Zhou Zhang , Yulin Pan , Davide Maestrini , Miguel Onorato , Jalal Shatah

The nonlinear dynamics of waves at the sea surface is believed to be ruled by the Weak Turbulence framework. In order to investigate the nonlinear coupling among gravity surface waves, we developed an experiment in the Coriolis facility…

Modern day studies of wind-driven sea waves are usually focused on wind forcing rather than on the effect of resonant nonlinear wave interactions. The authors assume that these effects are dominating and propose a simple relationship…

Atmospheric and Oceanic Physics · Physics 2016-07-20 Vladimir E. Zakharov , Sergei I. Badulin , Paul A. Hwang , Guillemette Caulliez

We are interested here in describing the linear response of the ocean to some wind forcing, which admits fast time oscillations and may be resonant with the Coriolis force. In addition to the usual Ekman layer, we exhibit another - much…

Analysis of PDEs · Mathematics 2012-07-03 Anne-Laure Dalibard , Laure Saint-Raymond

In propagating wave systems, three or four-wave resonant interactions constitute a classical non-linear mechanism exchanging energy between the different scales. Here we investigate three-wave interactions for gravity-capillary surface…

Large arrays of wave-absorbing structures could serve the double objective of coastal protection against erosion and clean, renewable electrical power production. In this work, the principle of an artificial canopy is explored, which…

Atmospheric and Oceanic Physics · Physics 2021-12-02 Alexis Mérigaud , Benjamin Thiria , Ramiro Godoy-Diana

Rogue waves (RWs) can form on the ocean surface due to quasi-four wave resonant interaction or superposition principle. Both mechanisms have been acutely studied. The first of the two is known as the nonlinear focusing mechanism and leads…

Fluid Dynamics · Physics 2024-05-21 Yuchen He , Jinghua Wang , Jingsong He , Ye Li , Xingya Feng , Amin Chabchoub

The generation of ocean surface waves by wind is a classic fluid mechanics problem whose theoretical study dates back to 1957, when the two seminal papers by Phillips and Miles were published in the incipient Journal of Fluid Mechanics.…

Fluid Dynamics · Physics 2023-02-17 Tianyi Li , Lian Shen

Wind waves are considered as an intermediate small-scale dynamic process at the air-sea interface,which modulates radically middle-scale dynamic processes of the boundary layers in water and air. It is shown that with the aim of a…

Atmospheric and Oceanic Physics · Physics 2010-06-22 Vladislav G. Polnikov

We consider interactions between surface and interfacial waves in the two layer system. Our approach is based on the Hamiltonian structure of the equations of motion, and includes the general procedure for diagonalization of the quadratic…

Fluid Dynamics · Physics 2023-07-19 Joseph Zaleski , Philip Zaleski , Yuri V Lvov

Over the years, the directional distribution functions of wind-generated wave field have been assumed to be unimodal. While details of various functional forms differ, these directional models suggest that waves of all spectral components…

Atmospheric and Oceanic Physics · Physics 2019-06-20 Paul A. Hwang , David W. Wang , W. Erick Rogers , Robert N. Swift , James Yungel , William B. Krabill

We describe the theory and present numerical evidence for a new type of nonlinear resonant interaction between gravity waves on the surface of deep water. The resonance constitutes a generalisation of the usual 'exact' resonance as we show…

Fluid Dynamics · Physics 2016-08-16 Dan Lucas , Miguel D Bustamante , Marc Perlin

The evolution of surface gravity waves is driven by nonlinear interactions that trigger an energy cascade similarly to the one observed in hydrodynamic turbulence. This process, known as wave turbulence, has been found to display anomalous…

We experimentally study resonant interactions of oblique surface gravity waves in a large basin. Our results strongly extend previous experimental results performed mainly for perpendicular or collinear wave trains. We generate two oblique…

Fluid Dynamics · Physics 2016-09-13 F. Bonnefoy , F. Haudin , G. Michel , B. Semin , T. Humbert , S. Aumaître , M. Berhanu , E. Falcon

A version of model is proposed, which is aimed for getting parameters of the atmospheric layer and upper water layer with account of the wind-wave state. The dynamics of the atmospheric boundary layer is realized in version of papers [1,…

Atmospheric and Oceanic Physics · Physics 2011-08-12 Vladislav Polnikov , Iliya Kabatchenko
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