scholarly journals Experimental study of dispersion and modulational instability of surface gravity waves on constant vorticity currents

2019 ◽  
Vol 884 ◽  
Author(s):  
James N. Steer ◽  
Alistair G. L. Borthwick ◽  
Dimitris Stagonas ◽  
Eugeny Buldakov ◽  
Ton S. van den Bremer
Keyword(s):  
Experimental Study ◽  
Gravity Waves ◽  
Modulational Instability ◽  
Surface Gravity ◽  
Surface Gravity Waves ◽  
Constant Vorticity ◽  
Image Position

scholarly journals The role of constant vorticity on weakly nonlinear surface gravity waves

Wave Motion ◽  
2020 ◽  
pp. 102702
Author(s):  
M.A. Manna ◽  
S. Noubissie ◽  
J. Touboul ◽  
B. Simon ◽  
R.A. Kraenkel
Keyword(s):  
Gravity Waves ◽  
Surface Gravity ◽  
Weakly Nonlinear ◽  
Surface Gravity Waves ◽  
Constant Vorticity ◽  
Nonlinear Surface

The Intermediate Water Depth Limit of the Zakharov Equation and Consequences for Wave Prediction

2007 ◽  
Vol 37 (10) ◽  
pp. 2389-2400 ◽  
Author(s):  
Peter A. E. M. Janssen ◽  
Miguel Onorato
Keyword(s):  
Gravity Waves ◽  
Modulational Instability ◽  
Finite Amplitude ◽  
Surface Gravity ◽  
Intermediate Water ◽  
Zakharov Equation ◽  
Depth Limit ◽  
Surface Gravity Waves ◽  
Wave Prediction ◽  
Starting Point

Abstract Finite-amplitude deep-water waves are subject to modulational instability, which eventually can lead to the formation of extreme waves. In shallow water, finite-amplitude surface gravity waves generate a current and deviations from the mean surface elevation. This stabilizes the modulational instability, and as a consequence the process of nonlinear focusing ceases to exist when kh < 1.363. This is a well-known property of surface gravity waves. Here it is shown for the first time that the usual starting point, namely the Zakharov equation, for deriving the nonlinear source term in the energy balance equation in wave forecasting models, shares this property as well. Consequences for wave prediction are pointed out.

scholarly journals Modeling and control of surface gravity waves in a model of a copper converter

2008 ◽  
Vol 32 (9) ◽  
pp. 1696-1710 ◽  
Author(s):  
Eduardo Godoy ◽  
Axel Osses ◽  
Jaime H. Ortega ◽  
Alvaro Valencia
Keyword(s):  
Gravity Waves ◽  
Surface Gravity ◽  
Modeling And Control ◽  
Copper Converter ◽  
Surface Gravity Waves ◽  
And Control

Irrotational, progressive surface gravity waves near the limiting height

1973 ◽  
Vol 29 (3) ◽  
pp. 94-105 ◽  
Author(s):  
Ken Sasaki ◽  
Takashi Murakami
Keyword(s):  
Gravity Waves ◽  
Surface Gravity ◽  
Surface Gravity Waves
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