Abstract
A model for the time and space variation of the internal boundary-layer height over a land area with an irregular coastline is presented. It is based on the analytical model of the boundary-layer height proposed by Gryning and Batchvarova (1990) and Batchvarova and Gryning (1991). The model accounts for the temperature jump and the mean vertical air motion at the top of the internal boundary-layer. Four cases from experiments in Nanticoke and Vancouver are used for model validation. The agreement between the calculated and measured internal boundary layer height at the observational sites is fairly good. The input information for the model consist of wind speed and direction, friction velocity and kinematic heat flux in time and space for the area, and the potential temperature gradient and the mean vertical air motion above the internal boundary layer. For the experiments used in the validation the effect of subsidence is relatively important in the afternoon under low wind speed high pressure conditions, lowering the height of the internal boundary layer by up to 10%, and it is negligible in the morning hours. The effect of the mixing height over the sea is found to be negligible.
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References
Batchvarova, E. and Yordanov, D.: 1987, ‘The Internal Boundary Layer in a Sea Breeze for the Purpose of Air Pollution Modelling’, World Meteorological Organization, Tech. Doc. 187.2, 117 - 129.
Batchvarova, E. and Gryning, S. E.: 1991, ‘Applied Model for the Growth of the Daytime Mixed Layer’, Boundary-Layer Meteorol. 56, 261 - 274.
Batchvarova, E. and Gryning, S. E.: 1994, ‘Applied Model for the Height of the Daytime Mixed Layer and the Entrainment Zone’, Boundary-Layer Meteorol. 71, 311 - 323.
Bergstrom, H., Johansson, P.-E. and Smedman, A.: 1988, ‘A Study of Wind Speed Modifications and Internal Boundary-Layer Heights in a Coastal Region’, Boundary-Layer Meteorol. 42, 313 - 335.
Carson, D. J.: 1973, ‘The Development of a Dry Inversion-Capped Convectively Unstable Layer’, Quart. J. Roy. Meteorol. Soc. 99, 450 - 467.
Chen, J. M. and Oke, T. R.: 1994, ‘Mixed-layer Heat Advection and Entrainment During the Sea Breeze’, Boundary-Layer Meteorol. 68, 139 - 158.
Cleugh, H. A. and Oke, T. R.: 1986, ‘Suburban-Rural Energy Balance Comparison in Summer for Vancouver’, Boundary-Layer Meteorol. 36, 251 - 369.
Elliott, W. P.: 1958, ‘The Growth of the Atmospheric Internal Boundary Layer’, Trans. Amer. Geophys. Union 39, 1048 - 1054.
Gryning, S. E. and Batchvarova, E.: 1990, ‘Analytical Model for the Growth of the Coastal Internal
Boundary Layer during Onshore Flow’, Quart. J. Roy. Meteorol. Soc. 116,187-203.
Jackson, N. A.: 1976, ‘The Propagation of Modified Flow Downstream of a Change in Roughness’, Quart. J. Roy. Meteorol. Soc. 102, 924 - 933.
Melas, D. and Kambezidis, H. D.: 1992, ‘The Depth of the Internal Boundary Layer over an Urban Area under Sea-Breeze Conditions’, Boundary-Layer Meteorol. 61, 247 - 274.
Mestayer, P. G. and Anquetin, S.: 1995, ‘Climatology of Cities’, in A. Gyr and F.-S. Rys (eds.), Diffusion and Transport of Pollutants in Atmospheric Mesoscale Flow Fields, Kluwer Academic Publishers, pp. 165 - 189.
NOPEX: 1995, ‘Science Plan for NOPEX’, Can be obtained from the NOPEX Central Office, Department of Hydrology, Uppsala University, Sweden. p. 28.
Portelli, R. V.: 1982, ‘The Nanticoke Shoreline Diffusion Experiment, June 1978-I. Experimental Design and Program Overview’, Atmos.Environ. 16, 413 - 421.
Panofsky, H. and Dutton, J. A.: 1984, Atmospheric Turbulence,John Wiley and Sons, 397 pp.
Rao, K. S., Wyngaard, J. C. and Cote, O. R.: 1974, ‘The Structure of the Two-Dimensional Internal Boundary Layer over a Sudden Change of Surface Roughness’, J. Atmos. Sci. 31, 738 - 746.
Raynor, G. S., SethuRaman, S., and Brown, R. M.: 1979, ‘Formation and Characteristics of Coastal Internal Boundary Layers During Onshore Flows’, Boundary-Layer Meteorol. 16, 487 - 514.
Roth, M.: 1993, ‘Turbulent Transfer Relationships over an Urban Surface. II: Integral Statistics’, Quart. J. Roy. Meteorol. Soc. 119, 1105 - 1120.
Smedman, A. S. and Högström, U.: 1983, ‘Turbulent Characteristics of a Shallow Convective Internal Boundary Layer’, Boundary-Layer Meteorol. 25, 271 - 287.
Schmid, H. P., Cleugh, H. A., Grimmond, C. S. B., and Oke, T. R.: 1991, ‘Spatial Variability of Energy Fluxes in Suburban Terrain’, Boundary-Layer Meteorol. 54, 249 - 276.
Steyn, D. and Oke, T. R.: 1982, ‘The Depth of the Daytime Mixed-Layer at Two Coastal Sites: A Model and its Validation’, Boundary-Layer Meteorol. 24, 151 - 180.
Steyn, D.: 1990, ‘An Advective Mixed-Layer Model for Heat and Moisture Incorporating an Ana-lytical Expression for Moisture Entrainment’, Boundary-Layer Meteorol. 53, 21 - 31.
Tennekes, H.: 1973, ‘A Slab Model for the Dynamics of the Inversion above a Convective Boundary Layer’, J. Atmos. Sci. 30, 558 - 567.
Tennekes, H. and Driedonks, A. G. M.: 1981, ‘Basic Entrainment Equations for the Atmospheric Boundary Layer’, Boundary-Layer Meteorol. 20, 515 - 531.
van Dop, H., de Haan, B. J., and Engedal, C.: 1982, ‘The KNMI Mesoscale Air Pollution Model’, Royal Netherlands Meteorological Institute. Scientific Report W.R. 82-6. 76 pp.
Venkatram, A.: 1977, ‘A Model of Internal Boundary-layer Development’, Boundary-Layer Meteorol. 11, 419 - 437.
Walmsley, J.: 1989, ‘Internal Boundary-Layer Height Formulae — A Comparison with Atmospheric Data’, Boundary-Layer Meteorol. 47, 251 - 262.
Yordanov, D. and Batchvarova, E.: 1988, Über die Höhe der internen thermischen Grenzschicht bei Seewind’, Z. Meteorol. 38, 145 - 149.
Zilitinkevich, S. S.: 1975, ‘Comments on a Paper by H. Tennekes’, J. Atmos. Sci. 32, 991 - 992.
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© 1996 Springer Science+Business Media Dordrecht
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Gryning, SE., Batchvarova, E. (1996). A Model for the Height of the Internal Boundary Layer over an Area with an Irregular Coastline. In: Garratt, J.R., Taylor, P.A. (eds) Boundary-Layer Meteorology 25th Anniversary Volume, 1970–1995. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0944-6_18
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DOI: https://doi.org/10.1007/978-94-017-0944-6_18
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