scholarly journals Self-similar gravity wave spectra resulting from the modulation of bound waves

2018 ◽  
Vol 3 (5) ◽  
Author(s):  
Guillaume Michel ◽  
Benoît Semin ◽  
Annette Cazaubiel ◽  
Florence Haudin ◽  
Thomas Humbert ◽  
...  
Keyword(s):  
Gravity Wave ◽  
Wave Spectra ◽  
Self Similar

scholarly journals Gravity wave spectra in the lower stratosphere diagnosed from project loon balloon trajectories

2017 ◽  
Vol 122 (16) ◽  
pp. 8517-8524 ◽  
Author(s):  
M. R. Schoeberl ◽  
E. Jensen ◽  
A. Podglajen ◽  
L. Coy ◽  
C. Lodha ◽  
...  
Keyword(s):  
Gravity Wave ◽  
Lower Stratosphere ◽  
Wave Spectra

Saturated gravity wave spectra measured with balloons in Mendoza (Argentina)

1994 ◽  
Vol 21 (18) ◽  
pp. 2039-2042 ◽  
Author(s):  
A. de la Torre ◽  
A. Giraldez ◽  
P. Alexander
Keyword(s):  
Gravity Wave ◽  
Wave Spectra

Distortion of gravity wave spectra measured from ground-based stations

1990 ◽  
Vol 17 (10) ◽  
pp. 1581-1584 ◽  
Author(s):  
J. Lefrère ◽  
C. Sidi
Keyword(s):  
Gravity Wave ◽  
Wave Spectra

Breaking waves and the equilibrium range of wind-wave spectra

1997 ◽  
Vol 342 ◽  
pp. 377-401 ◽  
Author(s):  
S. E. BELCHER ◽  
J. C. VASSILICOS
Keyword(s):  
High Frequency ◽  
Wind Wave ◽  
Breaking Waves ◽  
Breaking Wave ◽  
Wave Spectra ◽  
Scale Invariant ◽  
Self Similar ◽  
Dynamical Properties ◽  
Dynamical Balance ◽  
Equilibrium Range

When scaled properly, the high-wavenumber and high-frequency parts of wind-wave spectra collapse onto universal curves. This collapse has been attributed to a dynamical balance and so these parts of the spectra have been called the equilibrium range. We develop a model for this equilibrium range based on kinematical and dynamical properties of breaking waves. Data suggest that breaking waves have high curvature at their crests, and they are modelled here as waves with discontinuous slope at their crests. Spectra are then dominated by these singularities in slope. The equilibrium range is assumed to be scale invariant, meaning that there is no privileged lengthscale. This assumption implies that: (i) the sharp-crested breaking waves have self-similar shapes, so that large breaking waves are magnified copies of the smaller breaking waves; and (ii) statistical properties of breaking waves, such as the average total length of breaking-wave fronts of a given scale, vary with the scale of the breaking waves as a power law, parameterized here with exponent D.

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