Special Issue: Dynamics and Structure of the Mesopause Region (DYSMER)
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Toward an ultra-simple spectral gravity wave parameterization for general circulation models
Earth, Planets and Space volume 51, pages 475–484 (1999)
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.
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.
Eckermann, S. D., Influence of wave propagation on the Doppler spreading of atmospheric gravity waves, J. Atmos. Sci., 54, 2554–2573, 1997.
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.
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.
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.
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.
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.
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.
McIntyre, M. E., On the dynamics and transport near the polar mesopause in summer, J. Geophys. Res., 94, 14617–14628, 1989.
Rosenlof, K., Summer hemisphere differences in temperature and transport in the lower stratosphere, J. Geophys. Res., 101, 19129–19136, 1996.
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.
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.
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.
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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
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DOI: https://doi.org/10.1186/BF03353209