Water Waves on Vortical Flows

A special issue of Journal of Marine Science and Engineering (ISSN 2077-1312). This special issue belongs to the section "Physical Oceanography".

Deadline for manuscript submissions: closed (30 September 2021) | Viewed by 4699

Special Issue Editor


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Guest Editor
Ecole Centrale Marseille/Institut de Recherche sur les Phénomènes Hors Equilibre, Marseille, France
Interests: water wave dynamics; stability analysis; extreme sea waves; mathematical modelling; Computational Fluid Dynamics

Special Issue Information

Dear Colleagues,

Generally, in coastal and ocean waters, current velocity profiles are established by bottom friction and/or wind stress at the sea surface and are consequently depth-dependent. Ebb and flood currents due to the tide may have an important effect on water wave properties. In any region where the wind blows, the generated current affects the kinematics and dynamics of the surface water waves. For example, the current velocity profile at Columbia river mouth reported by Dong and Kirby (Proceedings of the 33rd Conference on Coastal Engineering, 2012) shows the existence of a strong vertical shear on the upper layer of the water flow near the free surface, which was high enough to affect the kinematics of water wave of wavelengths up to tens of meters.

Water waves on rotational flows have attracted much less attention than those on irrotational flows. The objective of this Special Issue is to increase our knowledge on the interaction between surface water waves and vortical flows.

Prof. Dr. Christian Kharif
Guest Editor

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Keywords

  • Wave–rotational current interactions
  • Waves on shear flows
  • Parallel shear flows
  • Vorticity
  • Deep and shallow waters

Published Papers (2 papers)

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Research

10 pages, 876 KiB  
Article
Generation of Gravity-Capillary Wind Waves by Instability of a Coupled Shear-Flow
by Malek Abid, Christian Kharif, Hung-Chu Hsu and Yang-Yih Chen
J. Mar. Sci. Eng. 2022, 10(1), 46; https://doi.org/10.3390/jmse10010046 - 1 Jan 2022
Cited by 2 | Viewed by 1345
Abstract
The theory of surface wave generation, in viscous flows, is modified by replacing the linear-logarithmic shear velocity profile, in the air, with a model which links smoothly the linear and logarithmic layers through the buffer layer. This profile includes the effects of air [...] Read more.
The theory of surface wave generation, in viscous flows, is modified by replacing the linear-logarithmic shear velocity profile, in the air, with a model which links smoothly the linear and logarithmic layers through the buffer layer. This profile includes the effects of air flow turbulence using a damped mixing-length model. In the water, an exponential shear velocity profile is used. It is shown that this modified and coupled shear-velocity profile gives a better agreement with experimental data than the coupled linear-logarithmic, non smooth profile, (in the air)–exponential profile (in the water), widely used in the literature. We also give new insights on retrograde modes that are Doppler shifted by the surface velocity at the air-sea interface, namely on the threshold value of the surface current for the occurrence of a second unstable mode. Full article
(This article belongs to the Special Issue Water Waves on Vortical Flows)
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13 pages, 935 KiB  
Article
Parasitic Capillary Waves on Small-Amplitude Gravity Waves with a Linear Shear Current
by Sunao Murashige and Wooyoung Choi
J. Mar. Sci. Eng. 2021, 9(11), 1217; https://doi.org/10.3390/jmse9111217 - 4 Nov 2021
Cited by 3 | Viewed by 2598
Abstract
This paper describes a numerical investigation of ripples generated on the front face of deep-water gravity waves progressing on a vertically sheared current with the linearly changing horizontal velocity distribution, namely parasitic capillary waves with a linear shear current. A method of fully [...] Read more.
This paper describes a numerical investigation of ripples generated on the front face of deep-water gravity waves progressing on a vertically sheared current with the linearly changing horizontal velocity distribution, namely parasitic capillary waves with a linear shear current. A method of fully nonlinear computation using conformal mapping of the flow domain onto the lower half of a complex plane enables us to obtain highly accurate solutions for this phenomenon with the wide range of parameters. Numerical examples demonstrated that, in the presence of a linear shear current, the curvature of surface of underlying gravity waves depends on the shear strength, the wave energy can be transferred from gravity waves to capillary waves and parasitic capillary waves can be generated even if the wave amplitude is very small. In addition, it is shown that an approximate model valid for small-amplitude gravity waves in a linear shear current can reasonably well reproduce the generation of parasitic capillary waves. Full article
(This article belongs to the Special Issue Water Waves on Vortical Flows)
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