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A numerical model of the zonal mean circulation of the middle atmosphere

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Abstract

The annual cycle of the zonally averaged circulation in the middle atmosphere (16–96 km) is simulated using a numerical model based on the primitive equations in log pressure coordinates. The circulation is driven radiatively by heating due to solar ultraviolet absorption by ozone and infrared cooling due to carbon dioxide and ozone (parameterized as a Newtonian cooling). Since eddy fluxes due to planetary waves are neglected in the model, the computed mean meridional circulation must be interpreted as thediabatic circulation, not as the total eulerian mean. Rayleigh friction with a short (2–4 day) time constant above 70 km is included to simulate the strong mechanical dissipation which is hypothesized to exist in the vicinity of the mesopause due to turbulence associated with gravity waves and tides near the mesopause.

Computed mean winds and temperatures are in general agreement with observations for both equinox and solstice conditions. In particular, the strong mechanical damping specified near the mesopause makes it possible to simulate the cold summer and warm winter mesopause temperatures without generating excessive mean zonal winds. In addition, the model exhibits a strong semiannual cycle in the mean zonal wind at the equator, with both amplitude and vertical structure in agreement with the easterly phase of the observed equatorial semiannual oscillation.

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References

  • Andrews, D. G. andMcIntyre, M. E. (1976),Planetary waves in horizonatal and vertical shear: the generalized Eliassen-Palm relation and the zonal mean acceleration, J. Atmos. Sci.33, 2031–2048.

    Google Scholar 

  • Boyd, J. (1976),The noninteraction of waves with the zonally averaged flow on a spherical earth and the interrelationships of eddy fluxes of energy, heat, and momentum, J. Atmos. Sci.33, 2285–2291.

    Google Scholar 

  • CIRA (1965),COSPAR International Reference Atmosphere, North-Holland, Amsterdam, 313 pp.

    Google Scholar 

  • Cogley, A. C. andBorucki, W. J. (1976),Exponential approximation for daily average solar heating or photolysis, J. Atmos. Sci.33, 1347–1356.

    Google Scholar 

  • Cunnold, D. M., Alyea, F., Phillips, N. andPrinn, R. (1975),A three-dimensional dynamical-chemical model of atmospheric ozone, J. Atmos. Sci.32, 170–194.

    Google Scholar 

  • Dickinson, R. E. (1973),Method of parameterization for infrared cooling between altitudes of 30 and 70 kms, J. Geophys. Res.78, 4451–4457.

    Google Scholar 

  • Dunkerton, T. (1978),On the mean meridional mass motions of the stratosphere and mesosphere, J. Atmos. Sci.35, 2325–2333.

    Google Scholar 

  • Dunkerton, T. (1979),On the role of the Kelvin wave in the westerly phase of the semiannual zonal wind oscillation, J. Atmos. Sci.36, 32–41.

    Google Scholar 

  • Eliassen, A. (1950),Slow thermally or frictionally controlled meridional circulation in a circular vortex, Astrophys. Norv.5, 19–60.

    Google Scholar 

  • Eliassen, A. andPalm, E. (1961),On the transfer of energy in stationary mountain waves, Geophys. Publ.22, No. 3, 1–23.

    Google Scholar 

  • Geller, M. A., Bowhill, S. A. andHess, G. C. (1971),A description of the University of Illinois meteor radar system and some first results, J. Atmos. Terr. Phys.39, 15–24.

    Google Scholar 

  • Hirota, I. (1978),Equatorial waves in the upper stratosphere and mesosphere in relation to the semi-annual oscillation of the zonal wind, J. Atmos. Sci.35, 714–722.

    Google Scholar 

  • Holton, J. R. (1972),An Introduction to Dynamic Meteorology, Academic Press, New York, 319 pages.

    Google Scholar 

  • Holton, J. R. (1975),The Dynamic Meteorology of the Stratosphere and Mesosphere. American Meteor. Soc., Boston, 218 pp.

    Google Scholar 

  • Holton, J. R. andWehrbein, W. M. (1979),A semi-spectral numerical model for the large scale stratospheric circulation. Report No. 1, Middle Atmosphere Project, Dept. of Atmospheric Sciences, University of Washington, Seattle.

    Google Scholar 

  • Hopkins, R. H. (1975),Evidence of polar-tropical coupling in upper stratospheric zonal wind anomalies, J. Atmos. Sci.32, 712–719.

    Google Scholar 

  • Kasahara, A., Sasamori, T. andWashington, W. (1973),Simulation experiments with a 12-layer stratospheric global circulation model. I. Dynamical effect of the earth's orography and thermal influence of continentality, J. Atmos. Sci.30, 1229–1251.

    Google Scholar 

  • Kellogg, W. W. andSchilling, G. F. (1951),A proposed model of the circulation of the upper stratosphere, J. Meteor.13, 561–568.

    Google Scholar 

  • Labitzke, K., and collaborators (1972),Climatology of the stratosphere in the northern hemisphere Part I, Meteorol. Abhandl.100, No. 4.

  • Lacis, A. A. andHansen, J. E. (1974),A parameterization for the absorption of solar radiation in the earth's atmosphere, J. Atmos. Sci.31, 118–133.

    Google Scholar 

  • Leovy, C. B. (1964),Simple models of thermally driven mesospheric circulation, J. Atmos. Sci.21, 327–341.

    Google Scholar 

  • Manabe, S. andMahlman, J. D. (1976),Simulation of seasonal and interhemispheric variations in the stratospheric circulation, J. Atmos. Sci.33, 2185–2217.

    Google Scholar 

  • Manson, A. H. andMeek, C. E. (1976),Internal gravity waves in the mesosphere and lower thermosphere at mid-latitudes, J. Atmos. Sci.33, 1650–1655.

    Google Scholar 

  • Murgatroyd, R. J. andGoody, R. M. (1958),sources and sinks of radiative energy from 30 to 90 km, Quart. J. Roy. Meteor. Soc.84, 225–234.

    Google Scholar 

  • Murgatroyd, R. J. andSingleton, F. (1961),Possible meridional circulations in the stratosphere and mesosphere, Quart. J. Roy. Meteor. Soc.87, 125–135.

    Google Scholar 

  • Reed, R. J. (1966),Zonal wind behavior in the equatorial stratosphere and lower mesosphere, J. Geophys. Res.71, 4223–4233.

    Google Scholar 

  • Schoeberl, M. R. andStrobel, D. F. (1978),The zonally averaged circulation of the middle atmosphere, J. Atmos. Sci.35, 577–591.

    Google Scholar 

  • Taljaard, J. J., Van Loon, H., Crutchen, H. L. andJenne, R. L. (1969),Climate of the upper air, part 1 — Southern Hemisphere, NAVAIR 50-IC-55.

  • Trenberth, K. E. (1973),Global model of the general circulation of the atmosphere below 75 km with annual heating cycle, Mon. Wea. Rev.101, 306–322.

    Google Scholar 

  • Woodman, R. F. andGuillen, A. (1974),Radar observations of winds and turbulence in the stratosphere and mesosphere, J. Atmos. Sci.31, 493–503.

    Google Scholar 

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Contribution No. 497, Department of Atmospheric Sciences, University of Washington, Seattle.

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Holton, J.R., Wehrbein, W.M. A numerical model of the zonal mean circulation of the middle atmosphere. PAGEOPH 118, 284–306 (1980). https://doi.org/10.1007/BF01586455

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