Research output: Contribution to journal › Review article › peer-review
Weak-Turbulent Theory of Wind-Driven Sea. / Zakharov, Vladimir E.; Badulin, Sergei I.; Geogjaev, Vladimir V. et al.
In: Earth and Space Science, Vol. 6, No. 4, 01.04.2019, p. 540-556.Research output: Contribution to journal › Review article › peer-review
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TY - JOUR
T1 - Weak-Turbulent Theory of Wind-Driven Sea
AU - Zakharov, Vladimir E.
AU - Badulin, Sergei I.
AU - Geogjaev, Vladimir V.
AU - Pushkarev, Andrey N.
N1 - Publisher Copyright: ©2019. The Authors.
PY - 2019/4/1
Y1 - 2019/4/1
N2 - 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.
AB - 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.
KW - kinetic equation
KW - Kolmogorov-Zakharov solutions
KW - self-similarity
KW - surface waves
KW - wave-wave interactions
KW - weak turbulence
KW - KINETIC-EQUATION
KW - LINEAR ENERGY TRANSFER
KW - EQUILIBRIUM RANGE
KW - GRAVITY-WAVE SPECTRUM
KW - MODEL
KW - WATER-WAVES
KW - SURFACE
KW - GENERATION
KW - SWELL
UR - http://www.scopus.com/inward/record.url?scp=85064061667&partnerID=8YFLogxK
U2 - 10.1029/2018EA000471
DO - 10.1029/2018EA000471
M3 - Review article
AN - SCOPUS:85064061667
VL - 6
SP - 540
EP - 556
JO - Earth and Space Science
JF - Earth and Space Science
SN - 2333-5084
IS - 4
ER -
ID: 19358880