Skip to main content
Log in

New approach to study the evolution of rossby wave packet

  • Published:
Advances in Atmospheric Sciences Aims and scope Submit manuscript

Abstract

The average variational principle was employed in this paper to study the evolution of large-scale and slowly varying Rossby wave packet with basic flow both in barotropic and baroclinic atmospheres. The evolution of the structure of Rossby wave packet with both time and space was studied. The results obtained in this paper are similar to the results of by WKBJ method. In addition, the dispersive process of the wave packet was analysed by taking Gaussian type wave packet as an initial disturbance. The valid time scale for application of wave packet theory in the atmosphere was obtained.

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.

Institutional subscriptions

Similar content being viewed by others

References

  • Dickinson, R.E. (1968), Planetary Rossby waves propagating vertically through weak westerly wind waveguides,J. Atmos. Sci.,25: 984–1002.

    Article  Google Scholar 

  • Grose, W. L. and B. J. Hoskins. (1979), On the influence of orography on large-scale atmospheric flow,J. Atmos Sci,. 36: 223–234.

    Article  Google Scholar 

  • Held, I.M. (1975), Momentum transport by quasi-geostrophic eddies.J. Atmos. Sci.,32: 1494–2497.

    Article  Google Scholar 

  • Hoskins, B. J. and D. J. Karoly (1981), The steady linear response of a spherical atmosphere to thermal and orographie forcing,J. Atmos. Sci.,38: 1179–1196.

    Article  Google Scholar 

  • Held, I. M. (1975), Momentum transport by quasi-geostrophic eddies,J. Atmos. Sci.,32: 1494–2497.

    Article  Google Scholar 

  • — (1978), The vertical scale of an unstable baroclinic wave and its importance for eddy heat flux parameterizations,J. Atmos. Sci.,35: 573–578.

    Google Scholar 

  • Kuo. H. L. (1949), Dyanmic instability of two-dimensional flow in a barotropic atmosphere,J. Meteor.,61: 105–122.

    Google Scholar 

  • Lu Peshen and Zeng Qingcun (1981), On the evolution process of disturbances in the barotropic atmospheScientia Atmospherica Sinica,5: 1–8.

    Google Scholar 

  • Whitham G. B. (1974),Linear and Nonlinear Waves, New York: Wiley, pp.467.

    Google Scholar 

  • Zeng Qingcun (1979), Physical and Mathematical Fundament for Numerical Weather Forecasting. Vol.1, Science Press, (in Chinese) Beijing, 543 pp.

    Google Scholar 

  • Zeng Qingcun (1983), The evolution of a Rossby-wave packet in a three-dimensional baroclinic atmospnere.J. Atmos. Sci.,40: 73–84.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shuzhan, R. New approach to study the evolution of rossby wave packet. Adv. Atmos. Sci. 8, 79–86 (1991). https://doi.org/10.1007/BF02657366

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02657366

Keywords

Navigation