Boundary-Layer Meteorology

, Volume 25, Issue 1, pp 63–88 | Cite as

Improving the Eddy Kinetic Energy model for planetary boundary layer description

  • Gérard Therry
  • Pierre Lacarrère
Article

Abstract

Results from a third-order turbulence closure scheme model and from experimental studies are used to improve the Eddy Kinetic Energy (EKE) model for the Planetary Boundary Layer (PBL).

It is proposed to use two different lengths, one for mixing and one for dissipation, as well as a temperature counter-gradient in the heat flux parameterization and a corrective term in the gradient-type relation for the computation of EKE flux. Such refinements do not lead to any increase in computing cost nor to any particular difficulty for the model implementation. They however allow for significantly better results, which are in close agreement with those of much more sophisticated models, at least in the case of the convective PBL, which is mainly considered here.

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References

  1. André, J. C., De Moor, G., Lacarrère, P., Therry, G., and du Vachat, R.: 1978, ‘Modeling the 24-hr Evolution of the Mean and Turbulent Structures of the Planetary Boundary Layer’, J. Atmos. Sci. 35, 1861–1883.CrossRefGoogle Scholar
  2. André, J. C.: 1979, ‘The Clipping Approximation and Inhomogeneous Turbulence Simulations’, Turbulent Shear Flows 1, Springer-Verlag, Berlin, 307–318.Google Scholar
  3. André, J. C. and Lacarrère, P.: 1980, ‘Simulation numérique détaillée de la couche limite atmosphérique-Comparaison avec la situation des 2 et 3 Juillet, 1977 à Voves’, La Météorologie VI 22, 5–49.Google Scholar
  4. André, J. C., Lacarrère, P., and Traoré, K.: 1982, ‘Pressure Effects on Triple Correlations in Turbulent Convective Flows’, Turbulent Shear Flows 3, Springer-Verlag, Berlin, (to appear).Google Scholar
  5. Blackadar, A. K.: 1962, ‘The Vertical Distribution of Wind and Turbulent Exchange in a Neutral Atmosphere’, J. Geophys. Res. 67, 3095–3102.CrossRefGoogle Scholar
  6. Blondin, C. and Therry, G.: 1981, ‘Analysis of Particles Trajectories During a Land-Sea Breeze Cycle Using Two-Dimensional Meso-Scale Models’, in Proc. 12 th I.T.M. on Air Pollution Modelling and its Applications, August 22–28, 1981, Palo Alto, U.S.A.Google Scholar
  7. Blondin, C. and Therry, G.: 1982, ‘Preliminary Tests of the Introduction of Lagrangian modelling in a 3-D Atmospheric Mesoscale Model’, presented at: 13 th I.T.M. on Air Pollution Modeling and its Applications, September 14–17, 1982, Ile des Embiez, France.Google Scholar
  8. Bodin, S.: 1979, ‘A Predictive Numerical Model of the Atmospheric Boundary Layer Based on the Turbulent Energy Equation’, SMHI Report No. 13, Norrköping, Sweden.Google Scholar
  9. Businger, J. A.: 1973, ‘Turbulent Transfer in the Atmospheric Surface Layer’, Workshop on Micrometeorology, Amer. Meteor. Soc. 67–100.Google Scholar
  10. Clarke, R. H., Dyer, A. J., Brook, R. R., Reid, D. G., and Troup, A. J.: 1971, The Wangara Experiment-Boundary Layer Data. Paper No. 19, Division Meteorological Physics, CSIRO, Australia.Google Scholar
  11. Coiffier, J., Decam, D., Jourdan, R., Lepas, J., Pham, H. L., and Rousseau, D.: 1979, ‘Le modèle de prévision’, Notes EERM No. 36–37, Direction de la Météorologie, France.Google Scholar
  12. Coiffier, J., Lepas, J., and Rivais, S.: 1981, ‘The New French Operational Ten-Layer P. E. Model, Results and Developments’, Proc. of the Symposium on Current Problems of Weather Prediction, June 23–26, 1981, Vienna.Google Scholar
  13. Deardorff, J. W.: 1970, ‘Convective Velocity and Temperature Scales for the Unstable Boundary Layer and for Rayleigh Convection’, J. Atmos. Sci. 27, 1211–1213.CrossRefGoogle Scholar
  14. Deardorff, J. W.: 1972, ‘Theoretical Expression for the Countergradient Vertical Heat Flux’, J. Geophys. Res. 30, 5900–5904.CrossRefGoogle Scholar
  15. Deardorff, J. W.: 1973, ‘The Use of Subgrid Transport Equations in a Three-Dimensional Model of Atmospheric Turbulence’, J. Fluids Eng. 95, 429–438.CrossRefGoogle Scholar
  16. Deardorff, J. W.: 1974, ‘Three-Dimensional Numerical Study of Turbulence in an Entraining Mixed Layer’, Boundary-Layer Meteorol. 7, 199–226.Google Scholar
  17. Deardorff, J. W.: 1976, ‘Clear and Cloud-Capped Mixed Layers. Their Numerical Simulation, Structure and Growth and Parameterization’, Seminars on “The Treatment of the Boundary Layer in Numerical Weather Prediction”, European Center for Medium Range Weather Forecast, Reading, 234–284.Google Scholar
  18. Frangi, J. P.: 1979, ‘Contribution à l'étude de la structure verticale des principales caractéristiques de la Couche Limite Planétaire’, Thèse de 3 ème cycle, Université de Paris VII.Google Scholar
  19. Hess, G. D., Hicks, B. B., and Yamada, T.: 1981, ‘The Impact of the Wangara Experiment’, Boundary-Layer Meteorol. 20, 135–174.CrossRefGoogle Scholar
  20. Kolmogorov, A. N.: 1942, ‘The Equation of Turbulent Motion in an Incompressible Fluid’, Izv. Akad. Nauk SSSR, Ser. Fiz. 6, No. 1, 2, 56–58.Google Scholar
  21. Laasonen, P.: 1949, ‘Über eine Methode zur Lösung der Wärmeleitungsgleichung’, Acta Math. 81, 309.CrossRefGoogle Scholar
  22. Lenschow, D. H., Wyngaard, J. C., and Pennell, W. T.: 1980, ‘Mean-Field and Second-Moment Budgets in a Baroclinic, Convective Boundary Layer’, J. Atmos. Sci. 37, 1313–1326.CrossRefGoogle Scholar
  23. MacBean, G. A.: 1979, ‘The Planetary Boundary Layer’, W.M.O. Technical Note No. 65, Geneva, Switzerland.Google Scholar
  24. Mahrt, L. J.: 1973, ‘A Relationship of the Reynolds Stress to Local Shear and Heat Fluxes in the Planetary Boundary Layer’, J. Atmos. Sci. 30, 1577–1583.CrossRefGoogle Scholar
  25. Mellor, G. L. and Yamada, T.: 1974, ‘A Hierachy of Turbulence Closure Models for Planetary Boundary Layers’, J. Atmos. Sci. 31, 1791–1806.CrossRefGoogle Scholar
  26. Monin, A. S. and Yaglom, A. M.: 1970, Statistical Fluid Mechanics, Mechanics of Turbulence, Vol. 1. MIT Press.Google Scholar
  27. Miyakoda, K. and Sirutis, J.: 1977, ‘Comparative Integrations of Global Models with Various Parameterized Process of Subgrid-Scale Vertical Transport: Description of the Parameterizations’, Beitr. Phys. Atmos. 50, 445–487.Google Scholar
  28. Redelsperger, J. L. and Sommeria, G.: 1981, ‘Méthode de représentation de la turbulence d'échelle inférieure à la maille pour un modèle tridimensionnel de convection nuageuse’, Boundary-Layer Meteorol. 21, 509–530.CrossRefGoogle Scholar
  29. Rotta, J.: 1951, ‘Statistische Theorie nichthomogener Turbulenz’, Z. Phys. 129, 547–572.CrossRefGoogle Scholar
  30. Sun, W.-Y. and Ogura, Y.: 1980, ‘Modeling the Evolution of the Convective Planetary Boundary Layer’, J. Atmos. Sci. 37, 1558–1572.CrossRefGoogle Scholar
  31. Weill, A., Baudin, F., Goutorbe, J. P., Van Grunderbeeck, P., and Leberre, P.: 1978, ‘Turbulence Structure in Temperature Inversions and in Convection Fields as Observed by Doppler Sodar’, Boundary-Layer Meteorol. 15, 375–390.CrossRefGoogle Scholar
  32. Weill, A., Vidal-Madjar, D., and Louis, J. F.: 1981, ‘Dissipation Length in Stable Layers’. CRPE Note No. 102, Issy-les-Moulineaux, France.Google Scholar
  33. Wyngaard, J. C. and Coté, O. R.: 1971, ‘The Budgets of Turbulent Kinetic Energy and Temperature Variance in the Atmospheric Surface Layer’, J. Atmos. Sci. 28, 190–201.CrossRefGoogle Scholar
  34. Wyngaard, J. C. and Coté, O. R.: 1974, ‘The Evolution of a Convective Planetary Boundary Layer. A Higher-Order-Closure Model Study’, Boundary-Layer Meteorol. 7, 289–308.CrossRefGoogle Scholar
  35. Willis, G. E. and Deardorff, J. W.: 1974, ‘A Laboratory Model of the Unstable Planetary Boundary Layer’, J. Atmos. Sci. 31, 1297–1307.CrossRefGoogle Scholar
  36. Yamada, T. and Mellor, G.: 1975, ‘A Simulation of Wangara Atmospheric Boundary Layer Data’, J. Atmos. Sci. 32, 2309–2329.CrossRefGoogle Scholar
  37. Yu, T. W.: 1977, ‘A Comparative Study on Parameterization of Vertical Turbulent Exchange’, Monthly Weather Rev. 105, 55–66.CrossRefGoogle Scholar
  38. Zeman, O. and Lumley, J. L.: 1976, ‘Modeling Buoyancy Driven Mixed Layers’, J. Atmos. Sci. 33, 1974–1988.CrossRefGoogle Scholar

Copyright information

© D. Reidel Publishing Co 1983

Authors and Affiliations

  • Gérard Therry
    • 1
  • Pierre Lacarrère
    • 1
  1. 1.Etablissement d'Etudes et de Recherches MétéorologiquesBoulogneFrance

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