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Ocean swell within the kinetic equation for water waves. / Badulin, Sergei I.; Zakharov, Vladimir E.

In: Nonlinear Processes in Geophysics, Vol. 24, No. 2, 06.06.2017, p. 237-253.

Research output: Contribution to journal › Article › peer-review

Harvard

Badulin, SI & Zakharov, VE 2017, 'Ocean swell within the kinetic equation for water waves', Nonlinear Processes in Geophysics, vol. 24, no. 2, pp. 237-253. https://doi.org/10.5194/npg-24-237-2017

APA

Badulin, S. I., & Zakharov, V. E. (2017). Ocean swell within the kinetic equation for water waves. Nonlinear Processes in Geophysics, 24(2), 237-253. https://doi.org/10.5194/npg-24-237-2017

Vancouver

Badulin SI, Zakharov VE. Ocean swell within the kinetic equation for water waves. Nonlinear Processes in Geophysics. 2017 Jun 6;24(2):237-253. doi: 10.5194/npg-24-237-2017

Author

Badulin, Sergei I. ; Zakharov, Vladimir E. / Ocean swell within the kinetic equation for water waves. In: Nonlinear Processes in Geophysics. 2017 ; Vol. 24, No. 2. pp. 237-253.

BibTeX

@article{1cf42c7186ca4ed0a26b6cfcf2c08ee7,
title = "Ocean swell within the kinetic equation for water waves",
abstract = "Results of extensive simulations of swell evolution within the duration-limited setup for the kinetic Hasselmann equation for long durations of up to 2 × 106 s are presented. Basic solutions of the theory of weak turbulence, the so-called Kolmogorov-Zakharov solutions, are shown to be relevant to the results of the simulations. Features of self-similarity of wave spectra are detailed and their impact on methods of ocean swell monitoring is discussed. Essential drop in wave energy (wave height) due to wave-wave interactions is found at the initial stages of swell evolution (on the order of 1000 km for typical parameters of the ocean swell). At longer times, wave-wave interactions are responsible for a universal angular distribution of wave spectra in a wide range of initial conditions. Weak power-law attenuation of swell within the Hasselmann equation is not consistent with results of ocean swell tracking from satellite altimetry and SAR (synthetic aperture radar) data. At the same time, the relatively fast weakening of wave-wave interactions makes the swell evolution sensitive to other effects. In particular, as shown, coupling with locally generated wind waves can force the swell to grow in relatively light winds.",
keywords = "INTERACTING GRAVITY-WAVES, WIND-GENERATED WAVES, WEAK TURBULENCE, DIFFUSION-MODEL, LIMITED GROWTH, DRIVEN SEAS, DEEP FLUID, FETCH, DISSIPATION, SPECTRUM",
author = "Badulin, {Sergei I.} and Zakharov, {Vladimir E.}",
year = "2017",
month = jun,
day = "6",
doi = "10.5194/npg-24-237-2017",
language = "English",
volume = "24",
pages = "237--253",
journal = "Nonlinear Processes in Geophysics",
issn = "1023-5809",
publisher = "European Geosciences Union",
number = "2",

}

RIS

TY - JOUR

T1 - Ocean swell within the kinetic equation for water waves

AU - Badulin, Sergei I.

AU - Zakharov, Vladimir E.

PY - 2017/6/6

Y1 - 2017/6/6

N2 - Results of extensive simulations of swell evolution within the duration-limited setup for the kinetic Hasselmann equation for long durations of up to 2 × 106 s are presented. Basic solutions of the theory of weak turbulence, the so-called Kolmogorov-Zakharov solutions, are shown to be relevant to the results of the simulations. Features of self-similarity of wave spectra are detailed and their impact on methods of ocean swell monitoring is discussed. Essential drop in wave energy (wave height) due to wave-wave interactions is found at the initial stages of swell evolution (on the order of 1000 km for typical parameters of the ocean swell). At longer times, wave-wave interactions are responsible for a universal angular distribution of wave spectra in a wide range of initial conditions. Weak power-law attenuation of swell within the Hasselmann equation is not consistent with results of ocean swell tracking from satellite altimetry and SAR (synthetic aperture radar) data. At the same time, the relatively fast weakening of wave-wave interactions makes the swell evolution sensitive to other effects. In particular, as shown, coupling with locally generated wind waves can force the swell to grow in relatively light winds.

AB - Results of extensive simulations of swell evolution within the duration-limited setup for the kinetic Hasselmann equation for long durations of up to 2 × 106 s are presented. Basic solutions of the theory of weak turbulence, the so-called Kolmogorov-Zakharov solutions, are shown to be relevant to the results of the simulations. Features of self-similarity of wave spectra are detailed and their impact on methods of ocean swell monitoring is discussed. Essential drop in wave energy (wave height) due to wave-wave interactions is found at the initial stages of swell evolution (on the order of 1000 km for typical parameters of the ocean swell). At longer times, wave-wave interactions are responsible for a universal angular distribution of wave spectra in a wide range of initial conditions. Weak power-law attenuation of swell within the Hasselmann equation is not consistent with results of ocean swell tracking from satellite altimetry and SAR (synthetic aperture radar) data. At the same time, the relatively fast weakening of wave-wave interactions makes the swell evolution sensitive to other effects. In particular, as shown, coupling with locally generated wind waves can force the swell to grow in relatively light winds.

KW - INTERACTING GRAVITY-WAVES

KW - WIND-GENERATED WAVES

KW - WEAK TURBULENCE

KW - DIFFUSION-MODEL

KW - LIMITED GROWTH

KW - DRIVEN SEAS

KW - DEEP FLUID

KW - FETCH

KW - DISSIPATION

KW - SPECTRUM

UR - http://www.scopus.com/inward/record.url?scp=85020299366&partnerID=8YFLogxK

U2 - 10.5194/npg-24-237-2017

DO - 10.5194/npg-24-237-2017

M3 - Article

AN - SCOPUS:85020299366

VL - 24

SP - 237

EP - 253

JO - Nonlinear Processes in Geophysics

JF - Nonlinear Processes in Geophysics

SN - 1023-5809

IS - 2

ER -

ID: 10186479