English

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

Atmospheric and Oceanic Physics 2015-02-26 v2 Fluid Dynamics

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(ω)ω4E(\omega)\sim \omega^{-4} to the Phillips spectrum E(ω)ω4E(\omega)\sim \omega^{-4}. This transition is routinely observed in field experiments. The first results of the generalized kinetic equation simulations are presented.

Keywords

Cite

@article{arxiv.1212.0963,
  title  = {The generalized Phillips' spectra and new dissipation function for wind-driven seas},
  author = {Vladimir E. Zakharov and Sergei I. Badulin},
  journal= {arXiv preprint arXiv:1212.0963},
  year   = {2015}
}

Comments

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

R2 v1 2026-06-21T22:48:58.332Z