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Local similarity of spectral and cospectral characteristics in the stable-continuous boundary layer

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Abstract

The local similarity theory, presented in the recent papers of Sorbjan (1986a, b), is extended by taking into consideration spectral (u, v, w, θ) and cospectral (uw, wθ, uθ) densities in the stable-continuous boundary layer. The resulting universal expressions for spectra, cospectra and the reduced frequencies of their peaks are in agreement with empirical data from the Kansas 1968 surface-layer and Minnesota 1973 boundary-layer experiments. In addition, the universal functions for the structure parameters and the dissipation rates are also derived and shown to fit the empirical data well.

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References

  • Arya, S. P.: 1982, ‘Atmospheric Boundary Layers over Homogenous Terrain’, in E. J. Plate (ed.), Engineering Meteorology, Elsevier Sci. Publ. Co.

  • Businger, J. A., Wyngaard, J. C., Izumi, Y., and Bradley, E. F.: 1971, ‘Flux Profile Relationship in the Atmospheric Surface Layer’, J. Atmos. Sci. 28, 181–189.

    Google Scholar 

  • Bush, N. E. and Panofsky, H.A.: 1968, ‘Recent Spectra of Atmospheric Turbulence’, Quart. J. Roy. Meteorol. Soc. 94, 400, 132–148.

    Google Scholar 

  • Bush, N. E., Frizzola, J. A., and Singer, I. A.: 1968, ‘The Micrometeorology of the Turbulent Flow Field in the Atmospheric Surface Boundary Layer’, Acta Polytechnica Scandinavica, Ph. 59, 44 pp.

  • Caughey, S. J.: 1977, ‘Boundary-Layer Turbulence Spectra in Stable Conditions’, Boundary-Layer Meteorol. 11, 3–14.

    Google Scholar 

  • Caughey, S. J., Wyngaard, J. C., and Kaimal, J. C.: 1979, ‘Turbulence in the Evolving Stable Boundary Layer’, J. Atmos. Sci. 36, 1041–1052.

    Google Scholar 

  • Corrsin, S.: 1951, ‘On the Spectrum of Isotropic Temperature Fluctuation in an Isotropic Turbulence’, J. Appl. Phys. 22, 469–473.

    Google Scholar 

  • Dutton, J. A., Panofsky, H. A., Larks, D., Shierer, H. N., Stone, G., and Vilardo, M.: 1980, ‘Statistics of Wind Fluctuations Over Complex Terrain’, Final Report, DOE ET-28-S-06 1110.

  • Izumi, Y.: 1971, Kansas 1968 Field Program Data Report, Environmental Research Papers No. 379, AFC RL-72 0041, Air Force Cambridge Research Lab., Bedford, MA.

    Google Scholar 

  • Haugen, D. A., Kaimal, J. C., and Bradley, E. F.: 1971, ‘An Experimental Study of Reynolds Stress and Heat Flux in the Atmospheric Surface Layer’, Quart. J. Roy. Meteorol. Soc. 97, 168–180.

    Google Scholar 

  • Kaimal, J. C., Wyngaard, J. C., Izumi, Y., and Coté, O. R.: 1972, ‘Spectral Characteristics of Surface-Layer Turbulence’, Quart. J. Roy. Meteorol. Soc. 98, 563–589.

    Google Scholar 

  • Kaimal, J. C.: 1969, ‘Measurements of Momentum and Heat Flux Variations in the Surface Boundary Layer’, Radio Sci. 4, 1147–1153.

    Google Scholar 

  • Kaimal, J. C. and Haugen, D. A.: 1969, ‘Some Errors in the Measurement of Reynolds Stress’, J. Appl. Meteorol. 8, 460–462.

    Google Scholar 

  • Kaimal, J. C.: 1973, ‘Turbulence Spectra, Length Scales and Structure Parameters in the Stable Surface Layer’, Boundary-Layer Meteorol. 4, 289–309.

    Google Scholar 

  • Kolmogorov, A. N.: 1941, ‘Local Structure of Turbulence in Incompressible Viscid Fluid with very small Reynolds Numbers, (in Russian)’, Dok. AN SSSR 30, 299–303.

    Google Scholar 

  • McBean, G. A.: 1971, ‘The Variations in the Statistics of Wind, Temperature and Humidity Fluctuations with Stability’, Boundary-Layer Meteorol. 1, 438–457.

    Google Scholar 

  • Monin, A. S.: 1959, ‘On the Similarity of Turbulence in the Presence of a mean Vertical Temperature Gradient’, J. Geophys. Res. 64, 2196–2197.

    Google Scholar 

  • Nieuwstadt, F. T. M.: 1984, ‘The Turbulent Structure of the Stable Nocturnal Boundary Layer’, J. Atmos. Sci. 41, 2202–2216.

    Google Scholar 

  • Okamoto, M. and Webb, E. K.: 1970, ‘The Temperature Fluctuations in a Stable Stratification’, Quart. J. Roy. Meteorol. Soc. 96, 591–600.

    Google Scholar 

  • Obukhov, A. M.: 1949, ‘Structure of the Temperature Field in the Turbulent Flow’, Izv. AN SSSR. ser. Geograph and Geoph. 13, 58–69 (in Russian).

    Google Scholar 

  • Olsen, H. R., Larsen, S. E., and Højstrup, J.: 1984, ‘Modeling Velocity Spectra in the Lower Part of the Planetary Boundary Layer’, Boundary-Layer Meteorol. 29, 285–312.

    Google Scholar 

  • Paquin, J. E. and Pound, S.: 1971, ‘Spectra of Temperature and Humidity Fluctuations and of the Fluxes of Moisture and Sensible Heat in the Marine Boundary Layer’, J. Atmos. Sci. 28, 918–928.

    Google Scholar 

  • Schmidt, K. F., Friehe, C. A., and Gibson, C. H.: 1979, ‘Structure of Marine Surface Layer Turbulence’, J. Atmos. Sci. 36, 602–618.

    Google Scholar 

  • Sorbjan, Z.: 1986a, ‘On Similarity in the Atmospheric Boundary Layer’, Boundary-Layer Meteorol. 34, 377–397.

    Google Scholar 

  • Sorbjan, Z.: 1986b, ‘On Vertical Distribution of Passive Species in the Atmospheric Boundary Layer’, Boundary-Layer Meteorol. 35, 73–81.

    Google Scholar 

  • Tatarskii, V. I.: 1961, Wave Propagation in a Turbulent Medium, McGraw Hill, New York.

    Google Scholar 

  • Wesley, M. L., Thurtell, G. W., and Tanner, C. B.: 1970, ‘Eddy Correlation Measurements of Sensible Heat Flux near the Earth's Surface’, J. Appl. Meteorol. 9, 45–56.

    Google Scholar 

  • Wyngaard, J. C.: 1973, in D. A. Haugen (ed.), ‘On Surface Layer Turbulence’, Workshop on Micrometeorology, Amer. Meteorol. Soc., pp. 109–149.

  • Wyngaard, J. C. and Coté, O. R.: 1971, ‘The Budgets of Turbulent Kinetic Energy and Temperature Variance in the Atmospheric Surface Layer’, J. Atmos. Sci. 280, 190–201.

    Google Scholar 

  • Wyngaard, J. C. and Coté, O. R.: 1972, ‘Cospectral Similarity in the Atmospheric Surface Layer’, Quart. J. Roy. Meteorol. Soc. 98, 590–603.

    Google Scholar 

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On leave from Institute of Environmental Engineering, Warsaw Polytechnic University, 00653 Warsaw, Poland.

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Sorbjan, Z. Local similarity of spectral and cospectral characteristics in the stable-continuous boundary layer. Boundary-Layer Meteorol 35, 257–275 (1986). https://doi.org/10.1007/BF00123644

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