Skip to main content
Log in

Numerical modelling of flux spectra for the case of angular anisotropy

  • Mathematical Modelling of Marine Systems
  • Published:
Physical Oceanography

Abstract

On the basis of numerical solution of a kinetic equation governing non-linear wave energy redistribution over the spectrum from sourceG to sinkD, it has been found that spectra of constant flux occur in the case of anisotropic distribution of the source (or sink) with respect to angle. It has been shown that with sourceG(ω) localized in the upper part of the frequency band, as compared with the sink localization area,D(ω), a flux spectrum that is anisotropic with respect to angle is realized. WithG(ω) andD(ω) being inversely located, the stabilized flux spectrum is essentially anisotropic with respect to angle. Unidimensional stabilized spectraS(ω), averaged by angle, then have power functions similar to those of the isotropic case of source/sink distribution studied by Zakharov in 1996. Spectral characteristics have been obtained and the calculated results interpreted.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Zakharov, V. E. and Filonenko, N. N. Energy spectrum for stochastic vacillations of the fluid surface.Dokl. Akad. Nauk SSSR (1966)170, 1292–1295.

    Google Scholar 

  2. Zakharov, V. E. and Zaslavsky, M. M. The kinetic equation and Kolmogorov spectra in a weakly turbulent theory for wind waves.Izv. Akad. Nauk SSSR, Fiz. Atmos. Okeana (1982)18, 970–979.

    Google Scholar 

  3. Polnikov, V. G. Numerical modelling of the formation of surface gravity wave flux spectra.Izv. Ros. Akad. Nauk, Fiz. Atmos. Okeana (1993)29, 837–841.

    Google Scholar 

  4. Polnikov, V. G. Calculations of the non-linear transport over the spectrum of surface gravity waves.Izv. Ros. Akad. Nauk, Fiz. Atmos. Okeana (1989)25, 1214–1225.

    Google Scholar 

  5. Polnikov, V. G. Numerical solution of the kinetic equation for surface gravity waves.Izv. Ros. Akad. Nauk, Fiz. Atmos. Okeana (1990)26, 168–176.

    Google Scholar 

  6. Polnikov, V. G. Calculations of directed energy fluxes and wave action over spectrum of gravity waves. In:Investigations of the Non-linear Mechanism for the Evolution of Wind Waves. Sevastopol (1994) (Preprint MHI).

  7. Resio, D. and Perrie, W. A numerical study of non-linear energy fluxes due to wave-wave interactions.J. Fluid Mech. (1991)223, 603–629.

    Article  Google Scholar 

  8. Efimov, V. V. and Polnikov, V. G.Numerical Modelling of Wind Waves. Kiev: Naukova Dumka (1991).

    Google Scholar 

Download references

Authors

Additional information

Translated by Vladimir A. Puchkin.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Polnikov, V.G., Komarovskaya, O.I. Numerical modelling of flux spectra for the case of angular anisotropy. Phys. Oceanogr. 9, 383–390 (1998). https://doi.org/10.1007/BF02522734

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02522734

Keywords

Navigation