By Sir George Deacon, William Rainey, Herbert Rabin (auth.), O. M. Phillips, Klaus Hasselmann (eds.)
In 1960, Dr. George Deacon ofthe nationwide Institute ofOceanography in England prepared a gathering in Easton, Maryland that summarized the nation of our realizing at the moment of ocean wave records and dynamics. It used to be a pivotal party: spectral ideas for wave size have been commencing to be used, wave-wave interactions hadjust been stumbled on, and easy versions for the expansion of waves through wind have been being constructed. The assembly laid the root for a lot paintings that used to be to persist with, yet you can actually rarely have imagined the level to which new ideas of size, fairly by means of distant sensing, new tools of calculation and computation, and new theoretical and laboratory effects may, within the following two decades, construct in this base. whilst Gaspar Valenzuela of the V. S. Naval study Laboratory perceived that the time used to be correct for a moment such assembly, it used to be average that Sir George Deacon will be invited to function honorary chairman for the assembly, and the full waves neighborhood used to be overjoyed at his recognition. the current quantity includes reviewed and edited papers given at this moment assembly, held this time in Miami, Florida, may perhaps 13-20, 1981, with the beneficiant help of the place of work of Naval examine, the nationwide Aeronautics and house management, and the nationwide Oceanic and Atmospheric Administration.
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The main features can then be explained quite naturally without the concept of a saturation spectrum using Zakharov's concepts. Although I agree that Zakharov's theory is not applicable in the strict form in which it was originally proposed (as it would also indeed require an isotropie spectrum), our nonlinear transfer calculations show that for an 1 5 or 1 4 40 S. A. KITAIGORODSKII spectrum and a slowly increasing angular spread with frequency, the divergence ofthe nonlinear /lux in the wavenumber plane is smalI.
A. Kitaigorodskii (1972): Intermittent pattern elJects in the equilibrium range of growing wind-generated waves. Izv. Akad. Nauk SSSR Fix. Atmos. Okeana 5,1230-1234. DISCUSSION TRIZNA: We have a third piece ofevidence for 00- 4 spectra in addition to those you showed, with additional information which perhaps can otTer some insight into the problem. We normally measure wave spectra THE EQUILIBRIUM RANGES IN WIND-WAVE SPECTRA 39 with a Waverider buoy while simultaneously measuring directional spreading for several wave frequencies with a scanning narrowcbeam HF radar using first-order Bragg scatter.
The nondimensional frequency w•• /g was scaled by the friction velocity V. in the atmospheric surface layer. fast that J1 ~ 1 and Kolmogoroffs concept, based on scaling, (83 )-( 85 ) cannat be valid anymare. The criteria for the applicability of the weak turbulence model [(78), (83)-(85) Jfor a description of Kolmogoroffs subrange based on critical values of J1 = const < 1 [(89)J give a characteristic cutoff wavenumber k~ for Kolmogoroffs subrange: (90) This can be interpreted as the wavenumber at which the energy flux Bo will create strang nonlinearities in the Fouriercomponent ofthe wave field with k» k~ which ultimately will lead ta breaking.