Skip to main content
Log in

A parametric model of vertical eddy fluxes in the atmosphere

  • Published:
Boundary-Layer Meteorology Aims and scope Submit manuscript


A scheme for the representation of the vertical eddy fluxes of heat, momentum and water vapour in a forecast model is presented. An important feature of the scheme is the dependence of the diffusion coefficients on the static stability of the atmosphere. Two tests are presented, using the scheme in a one-dimensional model: the simulation of the diurnal cycle, and the transformation of a polar air mass moving over the warm sea.

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


  • Arya, S. P. S. and Sundararajan, A.: 1976, ‘An Assessment of Proposed Similarity Theories for the Atmospheric Boundary Layer’, Boundary-Layer Meteorol. 10, 149–166.

    Google Scholar 

  • Barker, E. H. and Baxter, T. L.: 1975, ‘A Note on the Computation of Atmospheric Surface Layer Fluxes for use in Numerical Modelling’, J. Appl. Meteorol. 14, 620–622.

    Google Scholar 

  • Bhumralkar, C. M.: 1975a, ‘Parameterization of the Planetary Boundary Layer in Atmospheric General Circulation Models. — A review’. Report R-1654-ARPA, Defense Advanced Research Projects Agency, Order No. 189-1, RAND.

  • Bhumralkar, C. M.: 1975b, ‘Numerical Experiments on the Computation of Ground Surface Temperature in an Atmospheric General Circulation Model’, J. Appl. Meteorol. 14, 1246–1258.

    Google Scholar 

  • Busch, N. E., Chang, S. W., and Anthes, R. A.: 1976, ‘A Multi-Level Model of the Planetary Boundary Layer Suitable for Use in Mesoscale Dynamic Models’, J. Appl. Meteorol. 15, 909–919.

    Google Scholar 

  • Businger, J. A., Wyngaard, J. C., Izumi, Y., and Bradley, E. F.: 1971, ‘Flux-Profile Relationship in the Atmospheric Surface Layer’, J. Atmos. Sci. 28, 181–189.

    Google Scholar 

  • Carson, D. J. and Richards, P. J. R.: 1978, ‘Modelling Surface Turbulent Fluxes in Stable Conditions’, Boundary-Layer Meteorol. 14, 68–81.

    Google Scholar 

  • Clarke, R. H.: 1970, ‘Recommended Methods for the Treatment of the Boundary Layer in Numerical Models’, Aust. Meteorol. Mag. 18, 51–73.

    Google Scholar 

  • Deardorff, J. W.: 1972, ‘Parameterization of the Planetary Boundary Layer for Use in General Circulation Models’, Mon. Wea. Rev. 100, 93–106.

    Google Scholar 

  • Deardorff, J. W.: 1978, ‘Efficient Prediction of Ground Surface Temperature and Moisture, with Inclusions of a Layer of Vegetation’, J. Geophys. Res. 83, 1889–1903.

    Google Scholar 

  • Delsol, F., Miyakoda, M., and Clarke, R. H.: 1971, ‘Parameterized Processes in the Surface Boundary Layer of an Atmospheric Circulation Model’, Quart. J. Roy. Meteorol. Soc. 97, 181–208.

    Google Scholar 

  • Dyer, A. J.: 1974, ‘A Review of Flux-Profile Relationships’, Boundary-Layer Meteorol. 7, 363–372.

    Google Scholar 

  • Geleyn, J.-F. and Hollingsworth, A.: 1979, ‘An Economical Analytical Solution for the Interaction Between Scattering and Line Absorption of Radiation’, To appear in Beitr. Phys. Atmos.

  • Högström, U. and Smedman-Högström, A. S.: 1974, ‘Turbulence Mechanisms at an Agricultural Site’, Boundary-Layer Meteorol. 7, 373–389.

    Google Scholar 

  • Kondo, J., Kanechika, O., and Yasuda, N.: 1978, ‘Heat and Momentum Transfers under Strong Stability in the Atmospheric Surface Layer’, J. Atmos. Sci. 35, 1012–1021.

    Google Scholar 

  • Kuo, H. L.: 1965, ‘On Formation and Intensification of Tropical Cyclones Through Latent Heat Release by Cumulus Convection’, J. Atmos. Sci. 22, 40–63.

    Google Scholar 

  • Lettau, H. H. and Davidson, B.: 1957, Exploring the Atmosphere's First Mile, Vol. 2, Pergamon Press, New York, 578 pp.

    Google Scholar 

  • Merrill, J. T.: 1977, ‘Observational and Theoretical Study of Shear Instability in the Airflow near the Ground’, J. Atmos. Sci. 34, 911–921.

    Google Scholar 

  • Monin, A. S. and Obukhov, A. M.: 1954, ‘Basic Regularity in Turbulent Mixing in the Surface Layer of the Asmosphere’, Akad. Nauk. S.S.S.R. Trud. Geofiz. Inst., Tr. 24, 163–187.

    Google Scholar 

  • Økland, H.: 1976, ‘An Example of Air-Mass Transformation in the Arctic and Connected Disturbances of the Wind Field’, University of Stockholm, Dept. of Meteorology. Report No. DM-20.

  • Paulson, C. A.: 1970, ‘The Mathematical Representation of Wind Speed and Temperature Profiles in the Unstable Atmospheric-Surface Layer’, J. Appl. Meteorol, 9, 857–861.

    Google Scholar 

  • Phelps, G. T. and Pond, S.: 1971, ‘Spectra of the Temperature and Humidity Fluctuations and of the Fluxes of Moisture and Sensible Heat in the Marine Boundary Layer’, J. Atmos. Sci. 28, 918–928.

    Google Scholar 

  • Smagorinsky, J., Manabe, S., and Holloway, J. L. Jr.: 1965, ‘Numerical Results from a 9-Level General Circulation Model of the Atmosphere’, Mon. Wea. Rev. 93, 727–768.

    Google Scholar 

Download references

Author information

Authors and Affiliations


Rights and permissions

Reprints and permissions

About this article

Cite this article

Louis, JF. A parametric model of vertical eddy fluxes in the atmosphere. Boundary-Layer Meteorol 17, 187–202 (1979).

Download citation

  • Received:

  • Issue Date:

  • DOI: