Boundary-Layer Meteorology

, Volume 17, Issue 2, pp 187–202 | Cite as

A parametric model of vertical eddy fluxes in the atmosphere

  • Jean-François Louis


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.


Atmosphere Water Vapour Diffusion Coefficient Static Stability Forecast Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 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
  2. 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
  3. 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.Google Scholar
  4. 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
  5. 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
  6. 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
  7. Carson, D. J. and Richards, P. J. R.: 1978, ‘Modelling Surface Turbulent Fluxes in Stable Conditions’, Boundary-Layer Meteorol. 14, 68–81.Google Scholar
  8. Clarke, R. H.: 1970, ‘Recommended Methods for the Treatment of the Boundary Layer in Numerical Models’, Aust. Meteorol. Mag. 18, 51–73.Google Scholar
  9. Deardorff, J. W.: 1972, ‘Parameterization of the Planetary Boundary Layer for Use in General Circulation Models’, Mon. Wea. Rev. 100, 93–106.Google Scholar
  10. 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
  11. 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
  12. Dyer, A. J.: 1974, ‘A Review of Flux-Profile Relationships’, Boundary-Layer Meteorol. 7, 363–372.Google Scholar
  13. 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. Google Scholar
  14. Högström, U. and Smedman-Högström, A. S.: 1974, ‘Turbulence Mechanisms at an Agricultural Site’, Boundary-Layer Meteorol. 7, 373–389.Google Scholar
  15. 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
  16. 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
  17. Lettau, H. H. and Davidson, B.: 1957, Exploring the Atmosphere's First Mile, Vol. 2, Pergamon Press, New York, 578 pp.Google Scholar
  18. 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
  19. 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
  20. 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.Google Scholar
  21. 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
  22. 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
  23. 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

Copyright information

© D. Reidel Publishing Co 1979

Authors and Affiliations

  • Jean-François Louis
    • 1
  1. 1.European Centre for Medium Range Weather ForecastsShinfield Park, ReadingUK

Personalised recommendations