Skip to main content
Log in

Evidence of a Mixed-Layer Dynamics Contribution to the Entrainment Process

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

Abstract

The internal thermal boundary layer developing over the Mediterranean during a cold-air outbreak associated with a Tramontane event has been studied by means of airborne lidar, in situ sensors, and a modelling approach that consisted of nesting the University of Washington (UW) planetary boundary-layer (PBL) model in an advective zero-order jump model. This approach bypasses some of the deficiencies associated with each model: the absence of the dynamics in the mixed layer for the zero-order jump model and the lack of an inversion at the PBL top for the UW PBL model. Particular attention is given to the parameterization of the entrainment flux at the PBL top. Values of the entrainment closure parameter derived with the model when matching PBL structure observations are much lower than those derived with standard zero-order jump models. They also are in good agreement with values measured in different meteorological situations by other studies. This improvement is a result of the introduction of turbulent kinetic energy production in the mixed layer.

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

References

  • Barr, A. G. and Betts, A. K.: 1997, ‘Radiosonde Boundary Layer above a Boreal Forest’, J. Geophys. Res. 102, 29,205-29,212.

    Google Scholar 

  • Betts, A. K., Desjardins, R. L., and MacPherson, J. I.: 1992, ‘Budget Analysis of the Boundary Layer Grid during FIFE 1987’, J. Geophys. Res. 97, 533-546.

    Google Scholar 

  • Betts, A. K. and Ball, H.: 1994, ‘Budget Analysis of FIFE 1987 Sonde Data’, J. Geophys. Res. 99, 3655-3666.

    Google Scholar 

  • Betts, A. K. and Barr, A. G.: 1996, ‘First International Satellite Land Surface Climatology Field Experiment 1987 Sonde Budget Revisited’, J. Geophys. Res. 101, 23,285-23,288.

    Google Scholar 

  • Boers, R., Eloranta E. W., and Coulter R. L.: 1984, ‘Lidar Observations of Mixed Layer Dynamics: Tests of Parametrized Entrainment Models of Mixed Layer Growth Rate’, J. Clim. Appl. Meteorol. 23, 247-266.

    Google Scholar 

  • Boers, R. and Melfi, S.H.: 1987, ‘Cold-Air Outbreak during MASEX: Lidar Observations and Boundary Layer Model Test’, Boundary-Layer Meteorol. 39, 41-51.

    Google Scholar 

  • Boers, R., Melfi, S. H., and Palm, S. P.: 1991, ‘Cold-Air Outbreak during GALE: Lidar Observations and Modelling of Boundary Layer Dynamics’, Mon. Wea. Rev. 119, 1132-1150.

    Google Scholar 

  • Bougeault, P., Jansa Clar, A., Benech, B., Carissimo, B., Pelon, P., and Richard, E.: 1990, ‘Momentum Budget over the Pyrénées: The PYREX Experiment’, Bull. Amer. Meteorol. Soc. 71, 806-818.

    Google Scholar 

  • Bougeault, P., Jansa Clar, A., Beau, I., Benech, B., Benoit, R., Bessemoulin, P., Caccia, J. L., Campins, J., Carissimo, B., Champeaux, J. L., Crochet, M., Druilhet, A., Durand, P., Elkalfi, A., Flamant, P. H., Genoves, A., Georgelin, M., Hoinka, K. P., Klaus, V., Koffi, E., Krotoni, V., Mazaudier, C., Pelon, J., Petitdidier, M., Pointin, Y., Richard, E., Satumora, T., Stein, S., and Tannhauser, D.: 1993, ‘The Atmospheric Momentum Budget over a Major Mountain Range: First Results of the PYREX Field Program’, Annales Geophysicae 11, 395-418.

    Google Scholar 

  • Bougeault, P., Benech, B., Bessemoulin, P., Carissimo, B., Jansa Clar, Pelon, J., Petitdidier, M., and Richard, E.: 1997, ‘PYREX: A Summary of Findings’, Bull. Amer. Meteorol. Soc. 78, 637-650.

    Google Scholar 

  • Brown, R. A.: 1970, ‘A Secondary Flow Model for the Planetary Boundary Layer’, J. Atmos. Sci. 27, 742-757.

    Google Scholar 

  • Brown, R. A.: 1972, ‘On the Inflection Point Instability of the Stratified Ekman Boundary Layer’, J. Atmos. Sci. 29, 850-859.

    Google Scholar 

  • Brown, R. A.: 1980, ‘Longitudinal Instabilities and Secondary Flows in the Planetary Boundary-Layer: A Review’, Rev. Geophys. Space Phys. 18, 683-697.

    Google Scholar 

  • Brown, R. A. and Liu, W. T.: 1982, ‘An Operational Large-Scale Marine Planetary Boundary-Layer Model’, J. Appl. Meteorol. 21, 261-269.

    Google Scholar 

  • Brown, R. A.: 1991, Fluid Mechanics of the Atmosphere, International Geophysics Series, Vol. 47, Academic Press, 460 pp.

  • Brümmer B., Rump, B., and Kruspe, G.: 1992, ‘A Cold-Air Outbreak Near Spitsbergen in Springtime-Boundary-Layer Modification and Cloud Development’, Boundary-Layer Meteorol. 61, 13-46.

    Google Scholar 

  • Bunker A. F.: 1976, ‘Heat and Vapor Fluxes in Air Flowing Southward over the North Atlantic Ocean’, J. Appl. Meteorol. 17, 52-63.

    Google Scholar 

  • Campins, J., Jansa Clar, A., Benech, B., Koffi, E., and Bessemoulin, P.: 1995, ‘Pyrex Observation and Model Diagnosis of the Tramontane Wind’, Meteorol. Atmos. Phys. 56, 209-228.

    Google Scholar 

  • Chou, S. H. and Zimmerman, J.: 1989, ‘Bivariate Condtional Slampling of Buoyancy Flux during an Intense Cold-Air Outbreak’, Boundary-Layer Meteorol. 46, 93-112.

    Google Scholar 

  • Chou, S. H. and Fergusson, M. P.: 1991, ‘Heat Flux and Roll Circulation over the Western Gulf Stream during an Intense Cold-Air Outbreak’, Boundary-Layer Meteorol. 55, 255-281.

    Google Scholar 

  • Driedonks, A. G. M.: 1982, ‘Models and Observations of the Growth of the Atmospheric Boundary Layer’, Boundary-Layer Meteorol. 23, 283-306.

    Google Scholar 

  • Dubosclard, G.: 1980, ‘A Comparison between Observed and Predicted Values of the Entrainment Coefficient in the Planetary Boundary Layer’, Boundary-Layer Meteorol. 18, 473-483.

    Google Scholar 

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

    Google Scholar 

  • Eting, D. and Brown, R. A.: 1993, ‘Roll Vortices in the Planetary Boundary Layer: A Review’, Boundary-Layer Meteorol. 65, 215-248.

    Google Scholar 

  • Flamant, C. and Pelon, J.: 1996, ‘Atmospheric Boundary-Layer Structure over the Mediterranean during a Tramontane Event’, Quart. J. Roy. Meteorol. Soc. 122, 1741-1778.

    Google Scholar 

  • Flamant, C., Pelon, J., Flamant, P. H., and Durand, P.: 1997, ‘Lidar Determination of the Entrainment Zone Thickness at the Top of the Unstable Marine Atmospheric Boundary Layer’, Boundary-Layer Meteorol. 83, 247-284.

    Google Scholar 

  • Foster R. C.: 1997, ‘Structure and Energetics of the Optimal Ekman Layer Perturbations’, J. Fluid Mech. 333, 97-123.

    Google Scholar 

  • Garratt, J. R., Hess, G. D., Physick, W. L., and Bougeault, P.: 1996, ‘The Atmospheric Boundary Layer — Advances in Knowledge and Application’, Boundary-Layer Meteorol. 78, 9-37.

    Google Scholar 

  • Georgelin, M. and Richard, E.: 1996, ‘Numerical Simulation of the Flow Dispersion around the Pyrénées: A Tramontana Case Study’, Mon. Wea. Rev. 124, 687-700.

    Google Scholar 

  • Grisogono, B.: 1995, ‘A Generalized Ekman Layer Profile with Gradually Varying Eddy Diffusivity’, Quart. J. Roy. Meteorol. Soc. 121, 445-453.

    Google Scholar 

  • Gryning, S. and Batchvarova, E.: 1990, ‘Analytical Model for the Growth of the Coastal Internal Boundary Layer during a Offshore Flow’, Quart. J. Roy. Meteorol. Soc. 116, 187-203.

    Google Scholar 

  • Hein, P. F. and Brown, R. A.: 1988, ‘Observation of Longitudinal Roll Vortices during Artic Cold-Air Outbreaks over Open Water’, Boundary-Layer Meteorol. 45, 177-199.

    Google Scholar 

  • LeMone, M. A.: 1973, ‘The Structure and Dynamics of the Horizontal Roll Vortices in the Planetary Boundary Layer’, J. Atmos. Sci. 30, 1077-1091.

    Google Scholar 

  • Moeng, C.-H. and Sullivan, P. P.: 1994, ‘A Comparison of Shear-and Buoyancy-Driven Planetary Boundary-Layer Flows’, J. Atmos. Sci. 51, 999-1022.

    Google Scholar 

  • Musson-Genon, L.: 1995, ‘Comparison of Different Simple Turbulence Closures with a One-Dimensional Boundary-Layer Model’, Mon. Wea. Rev. 123, 163-180.

    Google Scholar 

  • Niiler, P. P.: 1975, ‘Deepening of the Wind-Mixed Layer’, J. Mar. Res. 33, 405-422.

    Google Scholar 

  • Raasch, S.: 1990, ‘Numerical Simulation of the Development of the Convective Boundary Layer during a Cold-Air Outbreak’, Boundary-Layer Meteorol. 52, 349-375.

    Google Scholar 

  • Randall, D. A.: 1984, ‘Buoyant Production and Consumption of Turbulence Kinetic Energy in Cloud-Topped Mixed Layers’, J. Atmos. Sci. 41, 402-413.

    Google Scholar 

  • Stage, S. A. and Businger, J. A.: 1981, ‘A Model for Entrainment into a Cloud-Topped Marine Boundary Layer. Part I: Model Description and Application to a Cold-Air Outbreak Episode’, J. Atmos. Sci. 38, 2213-2229.

    Google Scholar 

  • Stull, R. B.: 1976, ‘The Energetics of Entrainment Across a Density Interface’, J. Atmos. Sci. 33, 1260-1267.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Flamant, C., Pelon, J., Brashers, B. et al. Evidence of a Mixed-Layer Dynamics Contribution to the Entrainment Process. Boundary-Layer Meteorology 93, 47–73 (1999). https://doi.org/10.1023/A:1002083425811

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1002083425811

Navigation