The generalized Phillips' spectra and new dissipation function for wind-driven seas

Abstract

A generalization of the kinetic equation is proposed for explaining observed shapes of wind wave spectra. The approach allows to fix a critical uncertainty in modeling wind wave spectra using a condition of equilibrium of nonlinear transfer and wave dissipation due to breaking. We demonstrate transition from the Kolmogorov-Zakharov spectrum $E(\omega )\sim {\omega }^{-4}$ to the Phillips spectrum $E(\omega )\sim {\omega }^{-4}$. This transition is routinely observed in field experiments. The first results of the generalized kinetic equation simulations are presented.

Results of the paper have been partially reported in XIII International Congress of Theiretical and Applied Mechanics, 19-24 August 2012, Beijing, China (Sergei I. Badulin and Vladimir E. Zakharov, On the generalized Phillips spectra for wind waves) Paper is submitted to Ocean Modelling February 18, 2015

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