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The original investigation of Lamb (1932, {\S}349) for the effect of viscosity on monochromatic surface waves is extended to account for second-order Stokes surface waves on deep water in the presence of surface tension. This extension is…

Fluid Dynamics · Physics 2017-04-11 S. G. Sajjadi

Three-dimensional excitable systems can create nonlinear scroll waves that rotate around one-dimensional phase singularities. Recent theoretical work predicts that these filaments drift along step-like height variations. Here we test this…

Pattern Formation and Solitons · Physics 2015-03-19 Hua Ke , Zhihui Zhang , Oliver Steinbock

It follows from the review on classical wave models that the asymmetry of crest and trough is the direct cause for wave drift. Based on this, a new model of Lagrangian form is constructed. Relative to the Gerstner model, its improvement is…

Atmospheric and Oceanic Physics · Physics 2017-05-17 Jin-Liang Wang

Orbital sloshing is a technique to gently mix a container's liquid content and it is commonly used in fermentation and cell cultivation processes. Besides the rich wave dynamics observed at the interface, Bouvard et al. (2017) [1] unveiled…

Fluid Dynamics · Physics 2024-07-08 Alessandro Bongarzone , François Gallaire

A deep-water approximation to the Stokes drift velocity profile is explored as an alternative to the monochromatic profile. The alternative profile investigated relies on the same two quantities required for the monochromatic profile, viz…

Atmospheric and Oceanic Physics · Physics 2014-06-20 Øyvind Breivik , Peter A E M Janssen , Jean-Raymond Bidlot

A linear defect, viz. an elastic string, diffusing on a planar substrate traversed by a travelling wave experiences a drag known as Stokes' drift. In the limit of an infinitely long string, such a mechanism is shown to be characterized by a…

Statistical Mechanics · Physics 2009-11-07 F. Marchesoni , M. Borromeo

We demonstrate the appearance of unexpected reflection resonances in corrugated dielectric waveguides. These are due to the curvature of the boundary. The effect is as strong as the ordinary Bragg resonances, and reduces the transmission…

Optics · Physics 2015-11-04 Otto Dietz , Günter Kewes , Oliver Neitzke , Oliver Benson

Studies of ocean surface transport often invoke the "Eulerian-mean hypothesis": that wave-agnostic general circulation models neglecting explicit surface waves effects simulate the Eulerian-mean ocean velocity time-averaged over surface…

Atmospheric and Oceanic Physics · Physics 2023-05-02 Gregory LeClaire Wagner , Navid C. Constantinou , Brandon G. Reichl

Remote sensing measurements have been an important data source of ocean surface roughness. Scatterometers operating at moderate and high incidence angles provide information on the Bragg resonance spectral components of the ocean surface…

Atmospheric and Oceanic Physics · Physics 2020-10-27 Paul A. Hwang , Thomas L. Ainsworth , Jeffrey D. Ouellette

We show that in free surface flows, a uniform, streamwise current over small-amplitude wavy bottom topography generates cross-stream drift velocity. This drift mechanism, referred to as the current-bathymetry interaction induced drift…

Fluid Dynamics · Physics 2022-12-07 Akanksha Gupta , Anirban Guha

We derive the explicit analytic expression for the Stokes' drift in one dimension in the presence of a dichotomic Markov forcing. For small amplitudes of the forcing, the drift is enhanced, but the enhancement is reduced with increasing…

Statistical Mechanics · Physics 2015-06-25 I. Bena , M. Copelli , C. Van den Broeck

We report on an instability arising when surface gravity waves propagate in a rotating frame. The Stokes drift associated to the uniform wave field, together with global rotation, drives a mean flow in the form of a horizontally invariant…

Fluid Dynamics · Physics 2019-11-26 Kannabiran Seshasayanan , Basile Gallet

Resonantly forced spiral waves in excitable media drift in straight-line paths, their rotation centers behaving as point-like objects moving along trajectories with a constant velocity. Interaction with medium boundaries alters this…

Pattern Formation and Solitons · Physics 2014-12-08 Jacob Langham , Irina Biktasheva , Dwight Barkley

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

In this study, a new set of fifth-order Stokes wave solutions, incorporating the effects of a linear shear current, is derived by utilizing the perturbation method originally proposed for pure waves that was recently published. The present…

Fluid Dynamics · Physics 2023-08-08 Haiqi Fang , Philip L. -F. Liu , Lian Tang , Pengzhi Lin

The topographical scattering of gravity waves is investigated using a spectral energy balance equation that accounts for first order wave-bottom Bragg scattering. This model represents the bottom topography and surface waves with spectra,…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Rudy Magne , Fabrice Ardhuin , Vincent Rey , Thomas H. C. Herbers

A new approximation to the Stokes drift velocity profile based on the exact solution for the Phillips spectrum is explored. The profile is compared with the monochromatic profile and the recently proposed exponential integral profile.…

Atmospheric and Oceanic Physics · Physics 2016-02-02 Øyvind Breivik , Jean-Raymond Bidlot , Peter A. E. M. Janssen

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

Surface ships operating in ocean waves are shown to generate transverse surface currents which persist long after the initial ship-induced currents have decayed. These surface currents are due to the formation of large-scale Langmuir-type…

Fluid Dynamics · Physics 2018-07-03 J. Ryan Somero , Andre Basovich , Eric G. Paterson

Experiments have shown that micron-sized distributed surface roughness can significantly promote transition in a three-dimensional boundary layer dominated by crossflow insta- bility. This sensitive effect has not yet been fully explained…

Fluid Dynamics · Physics 2018-12-05 Jiyang He , Adam Butler , Xuesong Wu