Skip to main content

Volume 51 Supplement 7-8

Special Issue: Dynamics and Structure of the Mesopause Region (DYSMER)

Toward an ultra-simple spectral gravity wave parameterization for general circulation models

Abstract

This paper reports first steps toward a computationally inexpensive spectral gravity wave parameterization scheme whose predictions approximate those of a full three-dimensional (in spectral space) spectral model of atmospheric gravity waves. A reduction to two dimensions, as proposed by Hines, requiring the neglect of Coriolis and non-hydrostatic effects, is explored on the basis of comparisons with a full three-dimensional power-spectral model that includes Coriolis and non-hydrostatic effects. The reduction tries to be more realistic in terms of spectral shapes, though simpler in terms of wave-breaking criteria. It works remarkably well in the absence of, but less well in the presence of, background shear. The reasons for the discrepancies are under investigation, as are the implications for two-dimensional schemes, including Hines’ as well as ours.

References

  • Broutman, D., C. Macaskill, M. E. McIntyre, and J. W. Rottman, On Doppler-spreading models of internal waves, Geophys. Res. Lett., 24, 2813–2816, 1997.

    Article  Google Scholar 

  • Dewan, E. M. and R. E. Good, Saturation and the “universal” spectrum for vertical profiles of horizontal scalar winds in the atmosphere, J. Geophys. Res., 91, 2742–2748, 1986.

    Article  Google Scholar 

  • Eckermann, S. D., Influence of wave propagation on the Doppler spreading of atmospheric gravity waves, J. Atmos. Sci., 54, 2554–2573, 1997.

    Article  Google Scholar 

  • Fritts, D. C. and W. Lu, Spectral estimates of gravity wave energy and momentum fluxes II: Parameterisation of wave forcing and variability, J. Atmos. Sci., 50, 3695–3713, 1993.

    Article  Google Scholar 

  • Fritts, D. C. and T. E. VanZandt, Spectral estimates of gravity wave energy and momentum fluxes. Part I: Energy dissipation, acceleration, and constraints, J. Atmos. Sci., 50, 3685–3694, 1993.

    Article  Google Scholar 

  • Hines, C. O., The saturation of gravity waves in the middle atmosphere. Part I: Critique of linear-instability theory, J. Atmos. Sci., 48, 1348–1359, 1991.

    Article  Google Scholar 

  • Hines, C. O., Doppler-spread parameterization of gravity-wave momentum deposition in the middle atmosphere. 1. Basic formulation, J. Atmos. Sol.-Terr. Phys., 59(4), 371–386, 1997a.

    Article  Google Scholar 

  • Hines, C. O., Doppler-spread parameterization of gravity-wave momentum deposition in the middle atmosphere. 2. Broad and quasi monochromatic spectra, and implementation, J. Atmos. Sol.-Terr. Phys., 59(4), 387–400, 1997b.

    Article  Google Scholar 

  • Lübken, F.-J., Seasonal variation of turbulent energy dissipation rates at high latitudes as determined by in situ measurements of neutral density fluctuations, J. Geophys. Res., 102(D12), 13441–13456, 1997.

    Article  Google Scholar 

  • McIntyre, M. E., On the dynamics and transport near the polar mesopause in summer, J. Geophys. Res., 94, 14617–14628, 1989.

    Article  Google Scholar 

  • Rosenlof, K., Summer hemisphere differences in temperature and transport in the lower stratosphere, J. Geophys. Res., 101, 19129–19136, 1996.

    Article  Google Scholar 

  • Smith, S. A., D. C. Fritts, and T. E. VanZandt, Evidence of a saturated spectrum of atmospheric gravity waves, J. Atmos. Sci., 44, 1404–1410, 1987.

    Article  Google Scholar 

  • Warner, C. D. and M. E. McIntyre, On the propagation and dissipation of gravity wave spectra through a realistic middle atmosphere, J. Atmos. Sci., 53, 3213–3235, 1996.

    Article  Google Scholar 

  • Warner, C. D. and M. E. McIntyre, Gravity wave spectral models and the shapes of gravity wave spectra at low vertical wavenumbers, in Gravity Wave Processes: Their Parameterization in Global Climate Models, edited by Kevin Hamilton, pp. 217–226, Springer-Verlag, Heidelberg, 1997.

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Christopher D. Warner.

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Warner, C.D., McIntyre, M.E. Toward an ultra-simple spectral gravity wave parameterization for general circulation models. Earth Planet Sp 51, 475–484 (1999). https://doi.org/10.1186/BF03353209

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1186/BF03353209

Keywords

  • Gravity Wave
  • Wind Shear
  • Energy Dissipation Rate
  • Middle Atmosphere
  • Spectral Space