Numerical verification of weakly turbulent law of wind wave growth

Sergei I. Badulin, Alexander V. Babanin, Vladimir E. Zakharov, Donald T. Resio

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations

Abstract

Numerical solutions of the kinetic equation for deep water wind waves (the Hasselmann equation) for various functions of external forcing are analyzed. For wave growth in spatially homogeneous sea (the so-called duration-limited case) the numerical solutions are related with approximate self-similar solutions of the Hasselmann equation. These self-similar solutions are shown to be considered as a generalization of the classic Kolmogorov-Zakharov solutions in the theory of weak turbulence. Asymptotic law of wave growth that relates total wave energy with net total energy input (energy flux at high frequencies) is proposed. Estimates of self-similarity parameter that links energy and spectral flux and can be considered as an analogue of Kolmogorov-Zakharov constants are obtained numerically.

Original languageEnglish (US)
Title of host publicationIUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence - Proceedings of the IUTAM Symposium
Pages211-226
Number of pages16
StatePublished - Dec 1 2008
EventIUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence - Moscow, Russian Federation
Duration: Aug 25 2006Aug 30 2006

Publication series

NameSolid Mechanics and its Applications
Volume6
ISSN (Print)1875-3507

Other

OtherIUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence
CountryRussian Federation
CityMoscow
Period8/25/068/30/06

Keywords

  • Kinetic Hasselmann equation
  • Kolmogorov-Zakharov solutions
  • Self-similarity
  • Weak turbulence
  • Wind waves

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Automotive Engineering
  • Aerospace Engineering
  • Acoustics and Ultrasonics
  • Mechanical Engineering

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