Weak-Turbulent Theory of Wind-Driven Sea

被引:27
|
作者
Zakharov, Vladimir E. [1 ,2 ]
Badulin, Sergei I. [3 ,4 ]
Geogjaev, Vladimir V. [3 ,4 ]
Pushkarev, Andrey N. [3 ,5 ,6 ]
机构
[1] Univ Arizona, Dept Math, Tucson, AZ 85721 USA
[2] RAS, Landau Inst Theoret Phys, Moscow, Russia
[3] Lab Nonlinear Wave ProcessesNSU, Novosibirsk, Russia
[4] RAS, Shirshov Inst Oceanol, Moscow, Russia
[5] RAS, PN Lebedev Phys Inst, Moscow, Russia
[6] Waves & Solitons LLC, Phoenix, AZ USA
来源
EARTH AND SPACE SCIENCE | 2019年 / 6卷 / 04期
基金
俄罗斯科学基金会;
关键词
LINEAR ENERGY TRANSFER; GRAVITY-WAVE SPECTRUM; EQUILIBRIUM RANGE; KINETIC-EQUATION; WATER-WAVES; SURFACE; SWELL; MODEL; GENERATION;
D O I
10.1029/2018EA000471
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We present a self-consistent analytic theory of the wind-driven sea-the weak-turbulent theory. The base statement of the theory is that the four-wave resonant interactions play the leading role in the energy balance of the wind-driven sea. We study the exact solution of the stationary wave kinetic equation and the self-similar solutions of wave kinetic equation both in fetch- and duration-limited cases. The theory makes possible to explain the nature of universal power-like energy spectra as well as the power-like dependence of the total wave energy and peak frequency from the fetch and the duration.
引用
收藏
页码:540 / 556
页数:17
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