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The statistical properties of a large number of weakly nonlinear waves can be described in the framework of the Weak Turbulence Theory. The theory is based on the hypothesis of an asymptotically large system. In experiments, the systems…

Fluid Dynamics · Physics 2018-09-07 Roumaissa Hassaini , Nicolas Mordant

We investigate numerically the influence of a weak current on wind-generated surface deformations for wind velocity below the onset of regular waves. In that regime, the liquid surface is populated by small disorganised deformations…

Fluid Dynamics · Physics 2020-12-09 C. Nove-Josserand , S. Perrard , A. Lozano-Duran , M. Benzaquen , M. Rabaud , F. Moisy

Simulations of undulatory swimming in viscoelastic fluids with large amplitude gaits show concentration of polymer elastic stress at the tips of the swimmers.We use a series of related theoretical investigations to probe the origin of these…

Fluid Dynamics · Physics 2019-06-21 Becca Thomases , Robert D. Guy

Propagation of surface waves on a background shear flow with constant vorticity is studied and compared against the case when the background flow is uniform in depth. For a shear flow with the linear vertical profile, the dispersion…

Fluid Dynamics · Physics 2013-10-15 Philippe Maïssa , Germain Rousseaux , Yury Stepanyants

The Weak Turbulence Theory is a statistical framework to describe a large ensemble of nonlinearly interacting waves. The archetypal example of such system is the ocean surface that is made of interacting surface gravity waves. Here we…

When a surface wave interacts with a vertical vortex in shallow water the latter induces a dislocation in the incident wavefronts that is analogous to what happens in the Aharonov-Bohm effect for the scattering of electrons by a confined…

Quantum Physics · Physics 2016-08-15 Christophe Coste , Makoto Umeki , Fernando Lund

The surface current response to winds is analyzed in a two-year time series of a 12 MHz (HF) Wellen Radar (WERA) off the West coast of France. The measured currents, with tides filtered out, are of the order of 1.0 to 1.8% of the wind…

Atmospheric and Oceanic Physics · Physics 2015-05-13 Fabrice Ardhuin , Louis Marié , Nicolas Rascle , Philippe Forget , Aaron Roland

Starting from the paper by Dias, Dyachenko and Zakharov (\emph{Physics Letters A, 2008}) on viscous water waves, we derive a model that describes water waves with viscosity moving in deep water with or without surface tension effects. This…

Analysis of PDEs · Mathematics 2020-04-01 Rafael Granero-Belinchón , Stefano Scrobogna

We have proposed a new method for solving the problem of ship waves excited on the surface of a non-viscous liquid by a submerged object that moves at a variable speed. As a first application of this method, we have obtained a new solution…

Fluid Dynamics · Physics 2016-08-17 Anrei V. Arzhannikov , Igor A. Kotelnikov

Recently a theoretical scheme explaining the vorticity generation by surface waves in liquids was developed [S. Filatov et al., Phys. Rev. Lett. 116, 054501 (2016)]. Here we study how a thin (monomolecular) film presented at the surface of…

Fluid Dynamics · Physics 2016-11-09 V. M. Parfenyev , S. S. Vergeles , V. V. Lebedev

We look for classical traces of the Unruh effect in gravity waves. For this purpose, we start considering a white noise state of gravity waves on the surface of a water basin and calculate the two- and four-point functions of the Fourier…

General Relativity and Quantum Cosmology · Physics 2020-04-01 Guilherme B. Barros , Joao P. C. R. Rodrigues , Andre G. S. Landulfo , George E. A. Matsas

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

For the first time weak turbulent theory was demonstrated for the surface gravity waves. Direct numerical simulation of the dynamical equations shows Kolmogorov turbulent spectra as predicted by analytical analysis from kinetic equation.

Fluid Dynamics · Physics 2009-11-10 A. I. Dyachenko , A. O. Korotkevich , V. E. Zakharov

We present a comprehensive theory for linear gravity-driven ship waves in the presence of a shear current with uniform vorticity, including the effects of finite water depth. The wave resistance in the presence of shear current is…

Fluid Dynamics · Physics 2016-04-25 Yan Li , Simen Å. Ellingsen

We investigate the existence of solitary gravity waves traversing a two-dimensional body of water that is bounded below by a flat impenetrable ocean bed and above by a free surface of constant pressure. Our main interest is constructing…

Analysis of PDEs · Mathematics 2021-03-02 Adelaide Akers , Samuel Walsh

We study the dynamics of surface waves on a semi-toroidal ring of water that is excited by vertical vibration. We create this specific fluid volume by patterning a glass plate with a hydrophobic coating, which confines the fluid to a…

Fluid Dynamics · Physics 2007-06-24 Sunghwan Jung , Erica Kim , Michael Shelley , Jun Zhang

Wave phenomena in vibrofluidized dry and partially wet granular materials confined in a quasi-two-dimensional geometry are investigated with numerical simulations considering individual particles as hard spheres. Short ranged cohesive…

Soft Condensed Matter · Physics 2018-06-06 Kai Huang

This paper considers two-dimensional stratified water waves propagating under the force of gravity over an impermeable flat bed and with a free surface. We prove the existence of a global continuum of classical solutions that are periodic…

Analysis of PDEs · Mathematics 2009-02-11 Samuel Walsh

We investigate experimentally stratified turbulence forced by waves. Stratified turbulence is present in oceans and it is expected to be dominated by nonlinear interaction of internal gravity waves as described by the Garrett & Munk…

We report an experimental and numerical study of turbulent fluid motion in a free surface. The flow is realized experimentally on the surface of a tank filled with water stirred by a vertically oscillating grid positioned well below the…

Chaotic Dynamics · Physics 2009-10-31 W. I. Goldburg , J. R. Cressman , Z. Voros , B. Eckhardt , J. Schumacher