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The instability and nonlinear evolution of directional ocean waves is investigated numerically by means of simulations of the governing kinetic equation for narrow-band surface waves. Our simulation results reveal the onset of the…

Fluid Dynamics · Physics 2015-05-14 Bengt Eliasson , Padma K. Shukla

We consider the two-dimensional (2D) flow in a flat free-slip surface that bounds a three-dimensional (3D) volume in which the flow is turbulent. The equations of motion for the two-dimensional flow in the surface are neither compressible…

Chaotic Dynamics · Physics 2009-11-07 Bruno Eckhardt , Joerg Schumacher

Water wave propagation can be attenuated by various physical mechanisms. One of the main sources of wave energy dissipation lies in boundary layers. The present work is entirely devoted to thorough analysis of the dispersion relation of the…

Classical Physics · Physics 2020-02-20 Denys Dutykh

A combination of methods originating from non-stationary timeseries analysis is applied to two datasets of near surface turbulence in order to gain insights on the non-stationary enhancement mechanism of intermittent turbulence in the…

Atmospheric and Oceanic Physics · Physics 2019-09-04 Nikki Vercauteren , Vyacheslav Boyko , Amandine Kaiser , Danijel Belušić

The behavior of a non-spherical particle in a viscous, plane channel flow is studied by means of a combination of analytical technique and geometrical reasoning. An efficient implementation of Lamb's general solution is adopted, allowing…

chao-dyn · Physics 2007-05-23 Piero Olla

We derive transport equations for the propagation of water wave action in the presence of a static, spatially random surface drift. Using the Wigner distribution $\W(\x,\k,t)$ to represent the envelope of the wave amplitude at position $\x$…

Fluid Dynamics · Physics 2007-05-23 Guillaume Bal , Tom Chou

This second part of the study develops a geometric and asymptotic description of how surface tension governs the modulational stability of interfacial waves in a two-layer fluid. Extending the analytical framework of Part~I, surface tension…

Fluid Dynamics · Physics 2025-11-18 Olga Avramenko , Volodymyr Naradovyi

We examine the efficacy of streamwise traveling waves generated by a zero-net-mass-flux surface blowing and suction for controlling the onset of turbulence in a channel flow. For small amplitude actuation, we utilize weakly nonlinear…

Fluid Dynamics · Physics 2011-11-29 Rashad Moarref , Mihailo R. Jovanović

The appearence of a new type of fast nonlinear traveling wave states in binary fluid convection with increasing Soret effect is elucidated and the parameter range of their bistability with the common slower ones is evaluated numerically.…

patt-sol · Physics 2009-10-30 St. Hollinger , P. Buechel , M. Luecke

Nonlinear wave interactions affect the evolution of steep wave groups, their breaking and the associated kinematic field. Laboratory experiments are performed to investigate the effect of the underlying focussing mechanism on the shape of…

Atmospheric and Oceanic Physics · Physics 2018-03-05 Alberto Alberello , Amin Chabchoub , Jason Monty , Filippo Nelli , Jung Lee , John Elsnab , Alessandro Toffoli

This is a study of two-dimensional steady periodic travelling waves on the surface of an infinitely deep irrotational ocean, when the top streamline is in contact with a membrane which has a nonlinear response to stretching and bending, and…

Analysis of PDEs · Mathematics 2008-05-06 Pietro Baldi , John F. Toland

Hydrodynamic instability of a gravity-driven flow down an inclined plane is investigated in the presence of a floating elastic plate which rests on the top surface of the flow. Linear instability of the system with respect to infinitesimal…

Fluid Dynamics · Physics 2020-03-17 Siluvai Antony Selvan , Sukhendu Ghosh , Harekrushna Behera , Michael H. Meylan

Asymptotic multi-layer analyses and computation of solutions for turbulent flows over steady and unsteady monochromatic surface wave are reviewed, in the limits of low turbulent stresses and small wave amplitude. The structure of the flow…

Fluid Dynamics · Physics 2013-12-17 S. G. Sajjadi , J. C. R. Hunt , F. Drullion

The dynamics of a thin elastic sheet lubricated by a narrow layer of liquid is relevant to various situations and length scales. In the continuity of our previous work on viscous wakes, we study theoretically the effects of an external…

Fluid Dynamics · Physics 2017-10-11 Maxence Arutkin , René Ledesma-Alonso , Thomas Salez , Elie Raphaël

Linear shear flow bounded by a plane wall is an idealization that occurs in microfluidic devices and many other applications. Perfect plane approximation neglects surface irregularities and discrete particles adsorbed at the surface. Here…

Fluid Dynamics · Physics 2024-05-28 Itzhak Fouxon , Alexander M. Leshansky

When an ensemble of particles interact hydrodynamically, they generically display large-scale transient structures such as swirls in sedimenting particles [1], or colloidal strings in sheared suspensions [2]. Understanding these…

Soft Condensed Matter · Physics 2013-01-24 Nicolas Desreumaux , Jean-Baptiste Caussin , Raphael Jeanneret , Eric Lauga , Denis Bartolo

Here we have considered the effects of shallowness of the domain as well as the air-water free surface on the stratified shear instabilities of the fluid underneath. First, we numerically solve the non-Boussinesq Taylor-Goldstein equation…

Fluid Dynamics · Physics 2020-03-11 Mihir H. Shete , Anirban Guha

Stokes drift has been as central to the history of wave theory as it has been distressingly absent from experiment. Neither wave tanks nor experiments in open bodies detect this without nearly canceling "eulerian flows." Acoustic waves have…

Fluid Dynamics · Physics 2015-12-15 Clifford Chafin

Flow networks are fundamental for understanding systems such as animal and plant vasculature or power distribution grids. These networks can encode, transmit, and transform information embodied in the spatial and temporal distribution of…

Many species of phytoplankton migrate vertically near the surface of the ocean, either in search of light or nutrients. These motile organisms are affected by ocean waves at the surface. We derive a set of wave-averaged equations to…

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