Analytic theory of a wind-driven sea

Vladimir Zakharov

doi:10.1016/j.piutam.2018.03.005

Analytic theory of a wind-driven sea

Vladimir Zakharov

Mathematics

Research output: Contribution to journal › Conference article › peer-review

15 Scopus citations

Abstract

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 < ω_H, ω_H ~ 4 - 5ω_p (ω_p 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.

Original language	English (US)
Pages (from-to)	43-58
Number of pages	16
Journal	Procedia IUTAM
Volume	26
DOIs	https://doi.org/10.1016/j.piutam.2018.03.005
State	Published - 2018
Event	2017 IUTAM Symposium Wind Waves - London, United Kingdom Duration: Sep 4 2017 → Sep 8 2017

Keywords

Kinetic (Hasselmann) equation
Kolmogorov-Zakharov spectra
self-similarity of wave spectra
wave turbulence
wind-wave forecasting

ASJC Scopus subject areas

Mechanical Engineering

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10.1016/j.piutam.2018.03.005

Cite this

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title = "Analytic theory of a wind-driven sea",

abstract = "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.",

keywords = "Kinetic (Hasselmann) equation, Kolmogorov-Zakharov spectra, self-similarity of wave spectra, wave turbulence, wind-wave forecasting",

author = "Vladimir Zakharov",

note = "Publisher Copyright: {\textcopyright} 2018 The Authors. Published by Elsevier B.V.; 2017 IUTAM Symposium Wind Waves ; Conference date: 04-09-2017 Through 08-09-2017",

year = "2018",

doi = "10.1016/j.piutam.2018.03.005",

language = "English (US)",

volume = "26",

pages = "43--58",

journal = "Procedia IUTAM",

issn = "2210-9838",

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T1 - Analytic theory of a wind-driven sea

AU - Zakharov, Vladimir

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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DO - 10.1016/j.piutam.2018.03.005

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SN - 2210-9838

VL - 26

SP - 43

EP - 58

JO - Procedia IUTAM

JF - Procedia IUTAM

T2 - 2017 IUTAM Symposium Wind Waves

Y2 - 4 September 2017 through 8 September 2017

ER -

Analytic theory of a wind-driven sea

Abstract

Keywords

ASJC Scopus subject areas

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