Generation mechanisms for capillary-gravity wind wave spectrum |
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| Authors: | M V Kosnik V A Dulov V N Kudryavtsev |
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| Institution: | 1.Marine Hydrophysical Institute,National Academy of Sciences of Ukraine,Sevastopol, Crimea,Ukraine |
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| Abstract: | We investigate the role of different physical mechanisms in the generation of the capillary-gravity wind wave spectrum. This
spectrum is calculated by integrating a nonstationary kinetic equation until the solution becomes stready. The mechanisms
of spectrum generation under consideration include three-wave interactions, viscous dissipation, energy influx from wind,
nonlinear dissipation, and the generation of a parasitic capillary ripple. The three-wave interactions are taken into account
as an integral of collisions without additional simplifications. It is shown that the three-wave interactions lead to solution
instability if the kinetic equation takes into account only linear sources. To stabilize the solution, the kinetic equation
should incorporate a nonlinear dissipation term, which in the range of short gravity waves corresponds to energy losses during
wave breaking and microscale wave breaking. In the range of capillary waves, the account of nonlinear dissipation is also
needed to ensure a realistic level of the spectrum for large wind velocities. For the steady-state spectrum, the role of three-wave
interactions remains essential merely in the range of the minimum of phase velocity, where a trough on the curvature spectrum
is formed. At the remaining intervals of the spectrum, the main contribution into the spectral energy balance is provided
by the mechanisms of wave injection, nonlinear dissipation, and the generation of parasitic capillaries. |
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