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A Simple Theory of Capillary-Gravity Wave TurbulenceEmploying a recently proposed 'multi-wave interaction' theory, inertial spectra of capillary gravity waves are derived. This case is characterized by a rather high degree of nonlinearity and a complicated dispersion law. The absence of scale invariance makes this and some other problems of wave turbulence (e.g., nonlinear inertia gravity waves) intractable by small-perturbation techniques, even in the weak-turbulence limit. The analytical solution obtained in the present work for an arbitrary degree of nonlinearity is shown to be in reasonable agreement with experimental data. The theory explains the dependence of the wave spectrum on wind input and describes the accelerated roll-off of the spectral density function in the narrow sub-range separating scale-invariant regimes of purely gravity and capillary waves, while the appropriate (long- and short-wave) limits yield power laws corresponding to the Zakharov-Filonenko and Phillips spectra.
Document ID
19970009859
Document Type
Reprint (Version printed in journal)
Authors
Glazman, Roman E. (Jet Propulsion Lab., California Inst. of Tech. Pasadena, CA United States)
Date Acquired
September 6, 2013
Publication Date
January 1, 1995
Publication Information
Publication: J. Fluid Mech.
Volume: 293
Subject Category
Geophysics
Report/Patent Number
NASA-CR-203125
NAS 1.26:203125
Funding Number(s)
CONTRACT_GRANT: NAS7-100
CONTRACT_GRANT: N00014-92-J-1343
Distribution Limits
Public
Copyright
Public Use Permitted.

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