Skip to main content
Log in

Large-Eddy Simulation Of The Stably Stratified Planetary Boundary Layer

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

Abstract

In this work, we study the characteristics of a stably stratifiedatmospheric boundary layer using large-eddy simulation (LES).In order to simulate the stable planetary boundary layer, wedeveloped a modified version of the two-part subgrid-scalemodel of Sullivan et al. This improved version of themodel is used to simulate a highly cooled yet fairly windy stableboundary layer with a surface heat flux of(Wθ)o = -0.05 m K s-1and a geostrophic wind speed of Ug = 15 m s-1.Flow visualization and evaluation of the turbulencestatistics from this case reveal the development ofa continuously turbulent boundary layer with small-scalestructures. The stability of the boundary layercoupled with the presence of a strong capping inversionresults in the development of a dominant gravity wave atthe top of the stable boundary layer that appears to be relatedto the most unstable wave predicted by the Taylor–Goldsteinequation. As a result of the decay of turbulence aloft,a strong-low level jet forms above the boundary layer.The time dependent behaviour of the jet is compared with Blackadar'sinertial oscillation analysis.

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

  • Albrecht, B. A., Bretherton, C. S., Johnson, D., Schubert, W. H., and Frisch, A. S.: 1995, 'The Atlantic Stratocumulus Transition Experiment-ASTEX', Bull. Amer. Meteorol. Soc. 76, 889-904.

    Google Scholar 

  • Austin, P., Wang, Y., Pincus, R., and Kujala, V.: 1995, 'Precipitation in Stratocumulus Clouds: Observational and Modeling Results', J. Atmos. Sci. 52, 232-490.

    Google Scholar 

  • Bougeault, P.: 1985, 'The Diurnal Cycle of the Marine Stratocumulus Layer: A Higher-Order Model Study', J. Atmos. Sci. 42, 2826-2843.

    Google Scholar 

  • Bougeault, P. and André, J. C.: 1986, 'On the Stability of the Third Order Turbulence Closure for the Modelling of the Stratocumulus-Topped Boundary Layer', J. Atmos. Sci. 43, 1574-1581.

    Google Scholar 

  • Chen, C. and Cotton, W. R.: 1987, 'The Physics of the Marine Stratocumulus-Capped Mixed Layer', J. Atmos. Sci. 44, 2951-2977.

    Google Scholar 

  • Chlond, A.: 1992, 'Three-Dimensional Simulation of Cloud Street Development during a Cold Air Outbreak', Boundary-Layer Meteorol. 58, 161-200.

    Google Scholar 

  • Chlond, A.: 1994, 'Locally Modified Version of Bott's Advection Scheme', Mon. Wea. Rev. 122, 111-125.

    Google Scholar 

  • Deardorff, I. W.: 1976, 'On the Entrainment Rate of a Stratocumulus-Topped Mixed Layer', Quart. J. Roy. Meteorol. Soc. 102, 563-582.

    Google Scholar 

  • Deardorff, J. W.: 1980, 'Stratocumulus-Capped Mixed Layers Derived from a Three-Dimensional Model', Boundary-Layer Meteorol. 18, 495-527.

    Google Scholar 

  • Delobbe, L. and Gallée, H.: 1998, 'Simulation of Marine Stratocumulus: Effect of Precipitation Parameterization and Sensitivity to Droplet Number Concentration', Boundary-Layer Meteorol. 89, 75-107.

    Google Scholar 

  • de Roode, S. R. and Duynkerke, P. G.: 1997, 'Observed Lagrangian Transition of Stratocumulus into a Cumulus during ASTEX: Mean State and Turbulence Structure', J. Atmos. Sci. 54, 2157-2173.

    Google Scholar 

  • Duynkerke, P. G.: 1989. 'The Diurnal Variation of a Marine Stratocumulus Layer: A Model Sensitivity Study', Mon. Wea. Rev. 117, 1710-1725.

    Google Scholar 

  • Duynkerke, P. G., Jonker, P. J., Chlond, A., van Zanten, M. C., Cuxart, J., Clark, P., Sanchez, F., Martin G., Lenderink, G., and Teixeira, J.: 1999, 'Intercomparison of Three-and One-Dimensional Model Simulations and Aircraft Observations of Stratocumulus', Boundary-Layer Meteorol. 92, 453-487.

    Google Scholar 

  • Fravolo, C., Fouquart, Y., and Rosset, R.: 1981, 'The Sensitivity of a Model of Low Stratiform Clouds to Radiation', J. Atmos. Sci. 38, 1049-1062.

    Google Scholar 

  • Hanson, H. P.: 1984, 'On Mixed-Layer Modeling of the Stratocumulus-Topped Marine Boundary Layer', J. Atmos. Sci. 41, 1226-1234.

    Google Scholar 

  • Harrison, E. F., Minnis, P., Barkstrom, B. R., Ramanathan, V., Cess, R. D., and Gibson, C. G.: 1990, 'Seasonal Variation of Cloud Radiative Forcing Derived from the Earth Radiation Budget Experiment', J. Geophys. Res. 95, 18687-18703.

    Google Scholar 

  • Kessler, E.: 1969, 'On the Distribution and Continuity of Water Substances in Atmospheric Circulation', Meteorological Monographs, No. 32, American Meteorological Society, 84 pp.

  • Klein, S. A. and Hartmann, D. L.: 1993, 'The Seasonal Cycle of Stratiform Clouds', J. Climate 6, 1587-1606.

    Google Scholar 

  • Kogan, Y. L., Khairoutdinov, M. P., Lilly, D. K., Kogan, Z. N., and Liu, Q.: 1995, 'Modeling Stratocumulus Cloud Layers in a Large-Eddy Simulation Model with Explicit Microphysics', J. Atmos. Sci. 52, 2923-2940.

    Google Scholar 

  • Lilly, D. K.: 1968, 'Models of Cloud-Topped Mixed Layers under a Strong Inversion', Quart. J. Roy. Metereol. Soc. 94, 292-309.

    Google Scholar 

  • Lumley, J. L. and Panofsky, H. A.: 1964, The Structure of Atmospheric Turbulence, Interscience Publishers, New York, 239 pp.

    Google Scholar 

  • Lüpkes, C.: 1991, Untersuchungen zur Parametrisierung von Koagulationsprozessen niederschlagsbildender Tropfen, Verlag Dr. Kovac, Hamburg, 156 pp.

    Google Scholar 

  • Moeng, C.-H.: 1986, 'Large-Eddy Simulation of a Stratus-Topped Boundary Layer. Part I: Structure and Budgets', J. Atmos. Sci. 43, 2886-2900.

    Google Scholar 

  • Moeng, C.-H. and Arakawa, A.: 1980, 'A Numerical Study of a Marine Subtropical Stratus Cloud Layer and its Stability', J. Atmos. Sci. 37, 2661-2676.

    Google Scholar 

  • Moeng, C.-H. and Randall, D. A.: 1984, 'Problems in Simulating the Stratocumulus-Topped Boundary Layer with a Third-Order Closure Model', J. Atmos. Sci. 41, 1588-1600.

    Google Scholar 

  • Moeng, C.-H., Lenschow, D. H., and Randall, D. A.: 1995, 'Numerical Investigations of the Roles of Radiative and Evaporative Feedbacks in Stratocumulus Entrainment and Breakup', J. Atmos. Sci. 52, 2869-2883.

    Google Scholar 

  • Moeng, C.-H., Shen, S., and Randall, D. A.: 1992, 'Physical Processes within the Nocturnal Stratus-Topped Boundary Layer', J. Atmos. Sci. 49, 2384-2401.

    Google Scholar 

  • Monin, A. S. and Yaglom, A. M.: 1971, Statistical Fluid Mechanics: Mechanics of Turbulence, Vol. 1, The MIT Press, Cambridge, MA, 769 pp.

    Google Scholar 

  • Müller, C. and Chlond, A.: 1996, 'Three-Dimensional Numerical Study of Cell Broadening during Cold-Air Outbreaks', Boundary-Layer Meteorol. 81, 289-323.

    Google Scholar 

  • Oliver, D. A., Lewellen, W. S., and Williamson, C. C.: 1978, 'The Interaction between Turbulent and Radiative Transport in the Development of Fog and Low-Level Stratus', J. Atmos. Sci. 35, 310-316.

    Google Scholar 

  • Piacsek, S. A. and Williams, C. P.: 1970, 'Conservation Properties of Convection Difference Schemes', J. Comput. Phys. 6, 392-405.

    Google Scholar 

  • Ramanathan, V., Cess, R. D., Harrison, E. F., Minnis, P., Barkstrom, B. R., Ahmad, E., and Hartmann, D.: 1989, 'Cloud-Radiative Forcing and Climate: Results from the Earth Radiation Budget Experiment', Science 243, 57-63.

    Google Scholar 

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

    Google Scholar 

  • Rogers, D. P. and Koracin, D.: 1992, 'Radiative Transfer and Turbulence in the Cloud Topped Marine Atmospheric Boundary Layer', J. Atmos. Sci. 49, 1473-1486.

    Google Scholar 

  • Schaller, E. and Kraus, H.: 1981a, 'The Role of Radiation in an Inversion Capped Planetary Boundary Layer. Part I: The Need for a Detailed Consideration of Radiative Processes', Boundary-Layer Meteorol. 20, 485-495.

    Google Scholar 

  • Schaller, E. and Kraus, H.: 1981b, 'The Role of Radiation in an Inversion Capped Planetary Boundary Layer. Part II: The Internally Interactive Radiative-Convective Model', Boundary-Layer Meteorol. 20, 497-518.

    Google Scholar 

  • Schubert, W. H.: 1976, 'Experiments with Lilly's Cloud-Topped Mixed Layer Model', J. Atmos. Sci. 33, 436-446.

    Google Scholar 

  • Schubert, W. H., Wakefield, J. S., Steiner, E. J., and Cox, S. K.: 1979a, 'Marine Stratocumulus Convection. Part I: Governing Equations and Horizontally Homogeneous Solutions', J. Atmos. Sci. 36, 1286-1307.

    Google Scholar 

  • Schubert, W. H., Wakefield, J. S., Steiner, E. J., and Cox, S. K.: 1979b, 'Marine Stratocumulus Convection. Part II: Horizontally Inhomogeneous Solutions', J. Atmos. Sci. 36, 1308-1324.

    Google Scholar 

  • Schumann, U.: 1991, 'Subgrid Length-Scales for Large-Eddy Simulation of Stratified Turbulence', Theoret. Comput. Fluid Dyn. 2, 279-290.

    Google Scholar 

  • Slingo, A.: 1990, 'Sensitivity of the Earth's Radiation Budget to Changes in Low Clouds', Nature 343, 49-51.

    Google Scholar 

  • Smith, S. A. and Jonas, P. R.: 1995, 'Observations of the Turbulent Fluxes in Fields of Cumulus Clouds', Quart. J. Roy. Meteorol. Soc. 121, 1185-1208.

    Google Scholar 

  • Stage, S. A. and Businger, J. A.: 1981a, '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 

  • Stage, S. A. and Businger, J. A.: 1981b, 'A Model for Entrainment into a Cloud-Topped Marine Boundary Layer. Part II: Discussion of Model Behaviour and Comparison with Other Models', J. Atmos. Sci. 38, 2230-2242.

    Google Scholar 

  • Stevens, B., Cotton, W. R., Feingold, G., and Moeng, C.-H.: 1998, 'Large-Eddy Simulations of Strongly Precipitating, Shallow, Stratocumulus-Topped Boundary Layers', J. Atmos. Sci. 55, 3616-3638.

    Google Scholar 

  • Tatang, M. A., Pan, W., Prinn, R. C., and MacRae, G. J.: 1997, 'An Efficient Method for Parametric Uncertainty Analysis of Numerical Geophysical Models', J. Geophys. Res. 102, 21925-21932.

    Google Scholar 

  • Wang, S. and Wang, Q.: 1994, 'Roles of Drizzle in a One-Dimensional Third-Order Closure Model of Nocturnal Stratus-Topped Marine Boundary Layer', J. Atmos. Sci. 50, 4022-4043.

    Google Scholar 

  • Wyngaard, J. C.: 1983, 'Lectures on the Planetary Boundary Layer', in D. K. Lilly and T. Gal-Chen (eds.), Mesoscale Meteorology-Theories, Observations and Models, Reidel, Dordrecht, pp. 603-650.

    Google Scholar 

  • Wyngaard, J. C., Coté, O. R., and Izumi, Y.: 1971, 'Local Free Convection, Similarity and the Budgets of Shear Stress and Heat Flux', J. Atmos. Sci. 28, 1171-1182.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Saiki, E.M., Moeng, CH. & Sullivan, P.P. Large-Eddy Simulation Of The Stably Stratified Planetary Boundary Layer. Boundary-Layer Meteorology 95, 1–30 (2000). https://doi.org/10.1023/A:1002428223156

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1002428223156

Navigation