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The role of radiation in an inversion-capped planetary boundary layer

Part II: The internally interactive radiative-convective model

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Abstract

An internally interactive radiative-convective model for an inversion-capped planetary boundary layer (PBL) with stratus or stratocumulus convection is presented. It includes a parameterization scheme for the radiative processes based on the radiative transfer equation, which allows calculations of the radiative net flux divergence as an internal model parameter. The accuracy of this parameterization is tested by comparison to a high resolution spectral radiation model, showing an encouraging agreement. Typical profiles of the radiative net flux divergence in an inversion-capped cloudy PBL show two distinct regions of radiative cooling near the top of the cloud and in the upper part of the inversion, and two regions of radiative heating in the vicinity of the cloud base and the inversion base. Therefore for the first time both the turbulence and the radiation characteristics of the PBL can be derived as internal model parameters.

Two radiosonde ascents — one from Santa Monica, California, one from weather ship ‘M’ in the Northern Atlantic — are used in order to compare model results with routine measurements. In both cases the inversion height (i.e. the difference between surface pressure and pressure at the inversion level) is slightly underestimated, whereas the vertical profiles of dry and moist static energy as well as the total water content and the specific humidity agree fairly well in the well-mixed layer. The description of the radiative processes according to Lilly (1968) and Kahn and Businger (1979) is also investigated for both cases. Lilly's concept failed for the case over the Northern Atlantic, and the suggestion of Kahn and Businger failed for the Californian coast, thus demonstrating the limited accuracy and applicability of such simple parameterization schemes.

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References

  • Albrecht, B. A., Betts, A. K., Schubert, W. H., and Cox, S. K.: 1979, ‘A Model of the Thermodynamic Structure of the Trade-Wind Boundary Layer: Part I. Theoretical Formulation and Sensitivity Tests’, J. Atmos. Sci. 36, 73–89.

    Google Scholar 

  • Busch, N.: 1980, Polare Inversionen. Diplomarbeit, Meteorologisches Institut, Universitaet Bonn, 115 pp.

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

    Google Scholar 

  • Deirmendjian, D.: 1964, ‘Scattering and Polarization Properties of Water Clouds and Hazes in the Visible and Infrared’, Appl. Optics 3, 187–196.

    Google Scholar 

  • Ebel, U.: 1980, Inversionen im pazifischen Raum. Diplomarbeit, Meteorologisches Institut, Universitaet Bonn, 107 pp.

  • Goody, R. M.: 1952, ‘A Statistical Model for Water Vapour Absorption’, Quart. J. Roy. Meteorol. Soc. 78, 165–169.

    Google Scholar 

  • Hale, G. M. and Querry, M. R.: 1973, ‘Optical Constants of Water in the 200 nm to 200 Μm Wavelength Region’, Appl. Optics 12, 555–563.

    Google Scholar 

  • Herman, G. F.: 1975, ‘Radiative-Diffusive Models of the Arctic Boundary Layer’, Scientific Report No. 3, Dept. of Meteorology, Massachusetts Institute of Technology, Cambridge, Massachusetts.

    Google Scholar 

  • Houghton, J. T.: 1977, The Physics of Atmospheres. Cambridge University Press, Cambridge-London-New York-Melbourne, 203 pp.

    Google Scholar 

  • Kahn, P. H. and Businger, J. A.: 1979, ‘The Effect of Radiative Flux Divergence on Entrainment of a Saturated Convective Boundary Layer’, Quart. J. Roy. Meteorol. Soc. 105, 303–306.

    Google Scholar 

  • Kraus, H. and Schaller, E.: 1978a, ‘Steady-State Characteristics of Inversions Capping a Well-Mixed Planetary Boundary Layer’, Boundary-Layer Meteorol. 14, 83–104.

    Google Scholar 

  • Kraus, H. and Schaller, E.: 1978b, ‘A Note on the Closure in Lilly-Type Inversion Models’, Tellus 30, 284–288.

    Google Scholar 

  • Lilly, D. K.: 1968, ‘Models of Cloud-Topped Mixed Layers Under a Strong Inversion’, Quart. J. Roy. Meteorol. Soc. 94, 292–309.

    Google Scholar 

  • McClatchey, R. A., Fenn, R. W., Selby, J. E. A., Volz, F. E., and Garing, J. S.: 1971, ‘Optical Properties of the Atmosphere (Revised)’, Air Force Cambridge Research Laboratories, Environmental Research Papers, No. 354, 90 pp.

  • Randall, D. A.: 1980, ‘Entrainment into a Stratocumulus Layer with Distributed Radiative Cooling’, J. Atmos. Sci. 37, 148–159.

    Google Scholar 

  • Schaller, E.: 1979, ‘A Delta-Two-Stream Approximation in Radiative Flux Calculations’, Beitr. Phys. Atmosph. 52, 17–26.

    Google Scholar 

  • Schaller, E. and Kraus, H.: 1978, ‘Time-Dependent Inversions in Different Climatic Regions’, Beitr. Phys. Atmosph. 51, 230–246.

    Google Scholar 

  • Schaller, E. and Kraus, H.: 1981, ‘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 (this issue).

    Google Scholar 

  • Shettle, E. P. and Fenn, R. W.: 1976, ‘Models of Atmospheric Aerosols and Their Optical Properties’, AGARD Conference Proceedings No. 183 on Optical Propagation in the Atmosphere, 2-1-2-16.

  • Urfer, A.: 1956, ‘Sur les Changements du Gradient Vertical de Temperature dans le Brouillard de Rayonnement’, Geofisica Pura e Applicata 34, 231–245.

    Google Scholar 

  • Zdunkowski, W. G., Welch, R. M., and Korb, G.: 1980, ‘An Investigation of the Structure of Typical Two-Stream-Methods for the Calculation of Solar Fluxes and Heating Rates in Clouds’. Beitr. Phys. Atmosph. 53, 147–166.

    Google Scholar 

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Schaller, E., Kraus, H. The role of radiation in an inversion-capped planetary boundary layer. Boundary-Layer Meteorol 20, 497–513 (1981). https://doi.org/10.1007/BF00122298

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