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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

The paper is devoted to a numerical study of the problem of interaction of the wave packet with potential structures moving with constant acceleration. In all the cases considered the result of the interaction is a change in the velocity…

Quantum Physics · Physics 2021-02-24 M. A. Zakharov , G. V. Kulin , A. I. Frank

Considering two-dimensional potential ideal flow with free surface and finite depth, we study the dynamics of small-amplitude and short-wavelength wavetrains propagating on the background of a steepening nonlinear wave. This can be seen as…

Fluid Dynamics · Physics 2018-08-08 Alexei A. Mailybaev , Andre Nachbin

Large amplitude water waves on deep water has long been known in the sea faring community, and the cause of great concern for, e.g., oil platform constructions. The concept of such freak waves is nowadays, thanks to satellite and radar…

Chaotic Dynamics · Physics 2015-05-13 A. Grönlund , B. Eliasson , M. Marklund

The present article is devoted to the study of the dynamics of narrowband wave fields within the non-integrable Schamel equation, which plays an important role in plasma physics, wave dynamics in metamaterials, and electrical circuits. A…

Fluid Dynamics · Physics 2024-09-02 Marcelo V. Flamarion , Efim Pelinovsky , Ekaterina Didenkulova

An experimental study of the dynamics and droplet production in three mechanically generated plunging breaking waves is presented in this two-part paper. In the present paper (Part 1), the dynamics of the three breakers are studied through…

Fluid Dynamics · Physics 2023-08-09 Martin A. Erinin , Xinan Liu , Sophie D. Wang , James H. Duncan

The impact of a turbulent flow on wind-driven oceanic near-inertial waves is examined using a linearised shallow-water model of the mixed layer. Modelling the flow as a homogeneous and stationary random process with spatial scales…

Atmospheric and Oceanic Physics · Physics 2016-07-20 Eric Danioux , Jacques Vanneste

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

Distributions of wave characteristics of ocean waves, such as wave slope, waveheight or wavelength, are an important tool in a variety of oceanographic applications such as safety of ocean structures or in the study of ship stability, as…

Probability · Mathematics 2008-12-18 Sofia Aberg , Igor Rychlik , M. Ross Leadbetter

The phases are the main factor that affects the outcome of various optical phenomena, such as quantum superposition, wave interference, and light-matter interaction. As a light wave becomes nonstatic, an additional phase, the so-called…

Quantum Physics · Physics 2024-07-08 Jeong Ryeol Choi

It is shown that spatially periodic one-dimensional surface waves in shallow water behave almost linearly, provided large part of the energy is contained in sufficiently high frequencies. The amplitude is not required to be small (apart…

Fluid Dynamics · Physics 2010-02-22 M. B. Erdogan , N. Tzirakis , V. Zharnitsky

A new model other than the classical ones given by Airy, Stokes and Gerstner for the ocean surface wave is constructed. It leads to new understandings for the wave mechanisms: (1) A wave with bigger amplitude or smaller steepness travels…

General Physics · Physics 2017-05-16 Jin-Liang Wang

We develop a weakly nonlinear model to study the spatiotemporal manifestation and the dynamical behavior of surface waves in the presence of an underlying interfacial solitary wave in a two-layer fluid system. We show that interfacial…

Pattern Formation and Solitons · Physics 2019-07-29 Shixiao W. Jiang , Gregor Kovačič , Douglas Zhou

The question of the relative importance of coherent structures and waves has for a long time attracted a great deal of interest in astrophysical plasma turbulence research, with a more recent focus on kinetic scale dynamics. Here we utilize…

Plasma Physics · Physics 2019-08-30 D. Groselj , C. H. K. Chen , A. Mallet , R. Samtaney , K. Schneider , F. Jenko

Discussions on a form of a frequency spectrum of wind-driven sea waves just above the spectral maximum have continued for the last three decades. In 1958 Phillips made a conjecture that wave breaking is the main mechanism responsible for…

Geophysics · Physics 2011-01-04 Alexander O. Korotkevich

The problem of existence of stable nonlinear groups of gravity waves in deep water is revised by means of laboratory and numerical simulations with the focus on intense waves. Wave groups with steepness up to $A_{cr} \omega_m^2 /g \approx…

Fluid Dynamics · Physics 2017-03-30 Alexey Slunyaev , Günther F. Clauss , Marco Klein , Miguel Onorato

In periodic wave motion, particles beneath the wave undergo a drift in the direction of wave propagation, a phenomenon known as Stokes drift. While extensive research has been conducted on Stokes drift in water wave flows, its counterpart…

Fluid Dynamics · Physics 2025-07-18 Luiz P. Palacio , Marcelo V. Flamarion , Tao Gao , Roberto Ribeiro-Jr

We report experimental observations of two canonical surface wave patterns --- ship waves and ring waves --- skewed by sub-surface shear, thus confirming effects predicted by recent theory. Observed ring waves on a still surface with…

Fluid Dynamics · Physics 2019-08-12 Benjamin K. Smeltzer , Eirik Æsøy , Simen Å. Ellingsen

Internal waves propagate obliquely through a stratified fluid with an angle that is fixed with respect to gravity. Upon reflection on a sloping bed, striking phenomena are expected to occur close to the slope. We present here laboratory…

Pattern Formation and Solitons · Physics 2009-11-11 Louis Gostiaux , Thierry Dauxois , Henri Didelle , Joel Sommeria , Samuel Viboud

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…