TY - JOUR
T1 - Analytic theory of a wind-driven sea
AU - Zakharov, Vladimir
N1 - Funding Information:
The author expresses gratitude to his permanent collaborators S. Badulin, V. Geogjaev and A. Pushkarev for a fruitful collaboration. This work was supported by RSF project no. 14-22-00174.
Publisher Copyright:
© 2018 The Authors. Published by Elsevier B.V.
PY - 2018
Y1 - 2018
N2 - A self-sustained analytic theory of a wind-driven sea is presented. It is shown that the wave field can be separated into two ensembles: the Hasselmann sea that consists of long waves with frequency ω < ωH, ωH ~ 4 - 5ωp (ωp is the frequency of the spectral peak), and the Phillips sea with shorter waves. In the Hasselmann sea, which contains up to 95 % of wave energy, a resonant nonlinear interaction dominates over generation of wave energy by wind. White-cap dissipation in the Hasselmann sea in negligibly small. The resonant interaction forms a flux of energy into the Phillips sea, which plays a role of a universal sink of energy. This theory is supported by massive numerical experiments and explains the majority of pertinent experimental facts accumulated in physical oceanography.
AB - A self-sustained analytic theory of a wind-driven sea is presented. It is shown that the wave field can be separated into two ensembles: the Hasselmann sea that consists of long waves with frequency ω < ωH, ωH ~ 4 - 5ωp (ωp is the frequency of the spectral peak), and the Phillips sea with shorter waves. In the Hasselmann sea, which contains up to 95 % of wave energy, a resonant nonlinear interaction dominates over generation of wave energy by wind. White-cap dissipation in the Hasselmann sea in negligibly small. The resonant interaction forms a flux of energy into the Phillips sea, which plays a role of a universal sink of energy. This theory is supported by massive numerical experiments and explains the majority of pertinent experimental facts accumulated in physical oceanography.
KW - Kinetic (Hasselmann) equation
KW - Kolmogorov-Zakharov spectra
KW - self-similarity of wave spectra
KW - wave turbulence
KW - wind-wave forecasting
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U2 - 10.1016/j.piutam.2018.03.005
DO - 10.1016/j.piutam.2018.03.005
M3 - Conference article
AN - SCOPUS:85047450775
VL - 26
SP - 43
EP - 58
JO - Procedia IUTAM
JF - Procedia IUTAM
SN - 2210-9838
T2 - 2017 IUTAM Symposium Wind Waves
Y2 - 4 September 2017 through 8 September 2017
ER -