Abstract
A simple time-dependent one-dimensional model of the planetary boundary layer (PBL) is described and used to examine the degree to which model design decisions affect model output variables. The model's sensitivity to changes in the environmental conditions is also explored. Averages of the surface fluxes, near-ground wind speeds and other PBL properties from 48 h simulations are compared to control runs. The model-calculated surface fluxes are most sensitive, in decreasing order of importance, to the vertical grid spacing, the form of closure between the surface temperature and the atmosphere, the use of vertical diffusivity smoothing, the choice of maximum time step and choice of turbulence closure scheme. These fluxes are relatively insensitive to mixing-length scaling or choice of implicit time step weighting factor. Sensitivity to changes in soil type exceeds any of the design criteria tested. The modeled fluxes are moderately sensitive to small variations in the horizontal pressure gradient, to unsteadiness in the geostrophic wind and to variations in surface roughness. They are relatively insensitive to uncertainties in local vertical velocities and small (25%) variations applied separately to soil thermal diffusivity or heat capacity. The sensitivity of the average PBL depth (Z i ) to model and environmental changes are similar to those of surface fluxes except thatZ i is more sensitive to changes in mixing length, albedo and imposed vertical velocity then are the surface fluxes.
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André, J. C., DeMoor, G., Lacarrere, P., and Du Vachat, R.: 1976, ‘Turbulence Approximation for Inhomogeneous Flows, I, the Clipping Approximation’,J. Atmos. Sci. 33, 476–81.
André, J. C., Therry, G., and Du Vachat, R.: 1978, ‘Modeling the 24-hour Evolution of the Mean and Turbulent Structures of the Planetary Boundary Layer’,J. Atmos. Sci. 35, 1861–1883.
Anderson, D. A., Tannehill, J. C., and Pletcher, R. H.: 1984,Computational Fluid Dynamics and Heat Transfer, Hemisphere Publ. Corp., New York, 599 pages.
Blackadar, A.: 1979, ‘High-Resolution Models of the Planetary Boundary Layer’, in J. R. Pfafflin and E. N. Ziegler (eds.),Advances in Environmental Sciences and Engineering, Vol. I, Gordan and Breach Publ. Inc., N. Y., pp. 50–82.
Carroll, J. J.: 1982, ‘Long Term Means and Short Term Variability of the Surface Energy Balance Components at the South Pole’,J. Geophys. Res. 87(C6), 4277–86.
Carroll, J. J.: 1985, ‘Global Transmissivity and Diffuse fraction of Solar Radiation for Clear and Cloudy Skies as Measured and as Predicted by Bulk Transmissivity Models’,Solar Energy 35, 105–118.
Deardorff, J. W.: 1976, ‘Boundary Layer Parameterizations for Numerical Prediction Models’,Notes from Colloq. Wea. F'casting and Wea. F'casts, Boulder CO, Summer 1976. NCAR/CD-5+1976-ASP: Vol. 1: pp. 203–207.
Delage, I.: 1974, ‘A Numerical Study of the Nocturnal Atmospheric Boundary Layer’,Quart. J. R. Meteorol. Soc. 100, 351–64.
Estournel, C. and Guedalia, D.: 1987, ‘A New Parameterization of Eddy Diffusivities for Nocturnal Boundary-Layer Modeling’,Boundary-Layer Meteorol. 39, 191–203.
Hatfield, J. L., Smietana, Jr., P. J., Carroll, J. J., Flocchini, R. G., and Hamilton, R. H.: 1981, ‘Implementation of a Solar Energy Research and Training Site at Davis California’, Dept. of Land, Air and Water Resources, paper number 10005, University of California, Davis CA, 440 pages.
Holton, J.: 1979,An Introduction to Dynamic Meteorology, Second Ed., Academic Press Inc., New York, 391 pages.
Lascer, A. and Arya, S. P. S.: 1986, ‘A Comparative Assessment of Mixing-Length Parameterizations in Stably Stratified Nocturnal Boundary Layer (NBL)’,Boundary-Layer Meteorol. 36, 53–70.
Mellor, G. L. and Yamada, T.: 1974, ‘A Heirarchy of Turbulence Models for Planetary Boundary Layers’,J. Atmos. Sci. 38, 1791–1806.
Mellor, G. L. and Yamada, T.: 1982, ‘Development of a Turbulence Closure Model for Geophysical Fluid Problems’,Rev. Geophys. and Space Phys. 20, 851–75.
Mengelkamp, H.-T.: 1991, ‘Boundary Layer Structure Over an Inhomogeneous Surface: Simulations with a Non-Hydrostatic Model’,Boundary-Layer Meteorol. 57, 323–341.
Nieuwstadt, F. T. M.: 1984, ‘The Turbulent Structure of the Stable, Nocturnal Boundary Layer’,J. Atmos. Sci. 41, 2202–2216.
Nieuwstadt, F. T. M., Mason, P. J., Moeng C. H., and Schumann, U.: 1991, ‘Large Eddy Simulation of the Convective Boundary Layer: a Comparison of Four Computer Codes’,Proc. 8th Symposium on Turbulent Shear Flows, München, Germany, September 9–11.
O'Brien, J. J.: 1970, ‘A Note on the Structure of the Eddy Exchange Coefficient in the Planetary Boundary Layer’,J. Atmos. Sci. 27, 1213–15.
Paulson, C. A.: 1970, ‘The Mathematical Representation of Wind Speed and Temperature Profiles in the Unstable Atmospheric Stable Layer’,J. Appl. Meteorol. 9, 857–861.
Stull, R. B.: 1988,An Introduction to Boundary Layer Meteorology, Kluwer Academic Publishers, Dordrecht, The Netherlands, ISBN 9027727694, 666 pages.
Yamada, T.: 1976, ‘On the Similarity Functions A, B and C of the Planetary Boundary Layer’,J. Atm. Sci. 33, 781–793.
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Carroll, J.J. Sensitivity of PBL model predictions to model design and uncertainties in environmental inputs. Boundary-Layer Meteorol 65, 137–158 (1993). https://doi.org/10.1007/BF00708821
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DOI: https://doi.org/10.1007/BF00708821