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The dynamic and thermal regimes of climate are regulated by an exchange of energy and momentum between the atmosphere and the ocean. The role exerted by surface waves on this interchange is particularly enigmatic. Waves induce turbulence in…

Atmospheric and Oceanic Physics · Physics 2019-06-27 Alberto Alberello , Federico Frascoli , Miguel Onorato , Alessandro Toffoli

A simple analytical model is developed for the current induced by the wind and modified by surface wind-waves in the oceanic surface layer, based on a first-order turbulence closure and including the effect of a vortex force representing…

Atmospheric and Oceanic Physics · Physics 2018-12-05 Miguel A. C. Teixeira

This paper is a study of the water wave problem in a two-dimensional domain of infinite depth in the presence of nonzero constant vorticity. A goal is to describe the effects of uniform shear flow on the modulation of weakly nonlinear…

Analysis of PDEs · Mathematics 2022-10-19 Philippe Guyenne , Adilbek Kairzhan , Catherine Sulem

The problem of a viscous flow past a submerged source starting from rest and moving with a constant velocity, below and parallel to a free surface is examined. Asymptotic expressions for long-time evolution of free-surface elevation are…

Fluid Dynamics · Physics 2014-03-06 Jian-Jun Shu

In this paper, we numerically study the wave turbulence of surface gravity waves in the framework of Euler equations of the free surface. The purpose is to understand the variation of the scaling of the spectra with wavenumber $k$ and…

Fluid Dynamics · Physics 2023-06-22 Zhou Zhang , Yulin Pan

This paper deals with the dead-water phenomenon, which occurs when a ship sails in a stratified fluid, and experiences an important drag due to waves below the surface. More generally, we study the generation of internal waves by a…

Analysis of PDEs · Mathematics 2021-11-18 Vincent Duchene

The last decade has seen a significant increase in the number of studies devoted to wave turbulence. Many deal with water waves, as modeling of ocean waves has historically motivated the development of weak turbulence theory, which adresses…

Fluid Dynamics · Physics 2021-07-09 Eric Falcon , Nicolas Mordant

We consider the propagation of linear gravity waves on the free surface of steady, axisymmetric flows with purely azimuthal velocity. We propose a two-dimensional set of governing equations for surface waves valid in the deep-water limit.…

Fluid Dynamics · Physics 2025-02-17 Emanuele Zuccoli , Edward James Brambley , Dwight Barkley

A localised overpressure translating at a uniform speed greater than a critical value acts at the interface between two deep fluid layers with different densities. We analyse the resulting wave patterns using an initial-value problem…

Fluid Dynamics · Physics 2026-05-13 Vinod Kumar Kadari , Nikhil Yewale , Palas Kumar Farsoiya , Y. S. Mayya , Ratul Dasgupta

The linearized water-wave radiation problem for an oscillating submerged line source in an inviscid shear flow with a free surface is investigated analytically at finite, constant depth in the presence of a shear flow varying linearly with…

Fluid Dynamics · Physics 2016-06-29 Simen Å. Ellingsen , Peder A. Tyvand

Solitary-like surface waves that originate from the spatio-temporal evolution of falling liquid films have been the subject of theoretical and experimental research due to their unique properties that are not readily observed in the…

Fluid Dynamics · Physics 2023-01-10 Ivan S. Maksymov , Andrey Pototsky

Scroll waves are three-dimensional excitation patterns that rotate around a central filament curve; they occur in many physical, biological and chemical systems. We explicitly derive the equations of motion for scroll wave filaments in…

Soft Condensed Matter · Physics 2014-08-20 Hans Dierckx , Henri Verschelde

We investigate the effect of surface waves generated by the Faraday instability on a shear-thickening surfactant solution under vertical vibrations. We show that a prolonged oscillation of the surface above the instability onset leads to an…

Soft Condensed Matter · Physics 2009-04-01 P. Ballesta , S. Manneville

Processes of propagation and interaction of nonlinear gravity-capillary waves on the free surface of a deep non-conducting liquid with high dielectric constant under the action of a tangential electric field are numerically simulated. The…

Fluid Dynamics · Physics 2018-10-10 Evgeny A. Kochurin , Nikolay M. Zubarev

Buoyancy effects in unstably stratified mixing layers express themselves through gravity currents of heavy fluid which propagate in an ambient lighter fluid. These currents are encountered in numerous geophysical flows, industrial safety…

Chaotic Dynamics · Physics 2007-05-23 Bernard J. Geurts

Unforced shoaling waves experience growth and changes to wave shape. Similarly, wind-forced waves on a flat-bottom likewise experience growth/decay and changes to wave shape. However, the combined effect of shoaling and wind-forcing on wave…

Fluid Dynamics · Physics 2022-07-15 Thomas Zdyrski , Falk Feddersen

In non-destructive and biomedical imaging, spatial patterns inside a sample are imaged without destroying it. Therefore, propagating waves, including electromagnetic or ultrasonic signals, or even diffuse heat are generated or modified by…

Applied Physics · Physics 2025-07-09 Peter Burgholzer , Lukas Gahleitner , Guenther Mayr

Rogue waves are known to be much more common on jet currents. A possible explanation was put forward in [ [V. Shrira and A. Slunyaev, Nonlinear dynamics of trapped waves on jet currents and rogue waves, Phys. Rev. E 89, 041002, 2014]]: for…

Fluid Dynamics · Physics 2023-10-12 A. V. Slunyaev , V. I. Shrira

Trapped solitary-wave interaction is studied under the full Euler equations in the presence of a variable pressure distribution along the free surace. The physical domain is flattened conformally onto a strip and the computations are…

Fluid Dynamics · Physics 2020-04-03 Marcelo V. Flamarion , Roberto Ribeiro-Jr

The ultimate goal of a sound theory of turbulence in fluids is to close in a rational way the Reynolds equations, namely to express the tensor of turbulent stress as a function of the time average of the velocity field. Based on the idea…

Fluid Dynamics · Physics 2021-07-14 Yves Pomeau , Martine Le Berre