Energy exchange between the spectral components of surface gravity waves and fourth-order spectra

1992 ◽  
Vol 3 (6) ◽  
pp. 437-442
Author(s):  
V. V. Efimov ◽  
V. A. Kalmykov
Keyword(s):  
Gravity Waves ◽  
Fourth Order ◽  
Energy Exchange ◽  
Surface Gravity ◽  
Surface Gravity Waves ◽  
Spectral Components

scholarly journals The effect of randomness on the stability of deep water surface gravity waves in the presence of a thin thermocline

1998 ◽  
Vol 40 (2) ◽  
pp. 190-206
Author(s):  
Sudebi Bhattacharyya ◽  
K. P. Das
Keyword(s):  
Growth Rate ◽  
Evolution Equation ◽  
Gravity Waves ◽  
Fourth Order ◽  
Deep Water ◽  
Water Surface ◽  
Spectral Width ◽  
Surface Gravity ◽  
Surface Gravity Waves ◽  
The Stability

AbstractThe effect of randomness on the stability of deep water surface gravity waves in the presence of a thin thermocline is studied. A previously derived fourth order nonlinear evolution equation is used to find a spectral transport equation for a narrow band of surface gravity wave trains. This equation is used to study the stability of an initially homogeneous Lorentz shape of spectrum to small long wave-length perturbations for a range of spectral widths. The growth rate of the instability is found to decrease with the increase of spectral widths. It is found that the fourth order term in the evolution equation produces a decrease in the growth rate of the instability. There is stability if the spectral width exceeds a certain critical value. For a vanishing bandwidth the deterministic growth rate of the instability is recovered. Graphs have been plotted showing the variations of the growth rate of the instability against the wavenumber of the perturbation for some different values of spectral width, thermocline depth, angle of perturbation and wave steepness.

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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