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A Two-Regime Model For The Probability Density Function Of The Temperature Structure Parameter In The Convective Boundary Layer

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Abstract

The experimentally observed probability distribution of the acoustic echo-signal intensity associated with the temperature structure parameter C 2T was found to be markedly non-lognormal in the convective boundary layer. A two-regime model of thermal turbulence is suggested that combines a small-scale turbulence description with the concept of coherent structures. The probability density function of the logarithm of the temperature structure parameter C 2T is assumed to be approximated by a combination of two normal distributions taken with corresponding weights. It can be interpreted as the existence of two regimes of thermal turbulence, namely, light background turbulence and strong turbulence within convective plumes. This decomposition of the probability density function into ‘plume’ and ‘background’ parts provides an objective procedure for separating the statistics of these two regimes as well as to determine the probability of convective plume occurrence. It is shown that the conventionally measured overall mean C 2T , averaged over a long enough time interval, is determined mainly by the probability of plume occurrence, while the mean C 2T value within plumes changes slightly. The decrease of the total mean C 2T with height is caused mainly by the decrease of the probability of the plume occurrence with height.

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References

  • Baerentsen, J. H. and Berkowicz, R.: 1984, ‘Monte Carlo Simulation of Plume Dispersion in the Convective Boundary Layer’, Atmos. Environ. 18, 701-712.

    Google Scholar 

  • Bezverkhnii, W. A., Gurvich, A. S., and Kukharets, V. P.: 1986, ‘Variability of Turbulence Spectra in the Atmospheric Boundary Layer’, Izv. Acad. Sci. USSR, Atmospheric and Oceanic Physics 22, 675-681.

    Google Scholar 

  • Danilov, S. D., Gur'yanov, A. E., Kallistratova, M. A., Petenko, I. V., Singal, S. P., Pahwa, D. P., and Gera, B. S.: 1992, ‘Acoustic Calibration of Sodars’, Measurements Sci. Technol. 3, 1001-1007.

    Google Scholar 

  • Gurvich, A. S. and Yaglom, A. M.: 1967, ‘Break Down of Eddies and Probability Distribution for Small-Scale Turbulence’, Phys. Fluids Suppl. S59-S65.

  • Gurvich, A. S. and Kukharets, V. P.: 1985, ‘Effect of Turbulence Intermittency in the Atmosphere on the Wave Scattering’, Radiotechnique and Electronics 30, 1531-1537.

    Google Scholar 

  • Ivanov, V. N. and Rusakov, Yu. S.: 1998, ‘Features of Spatial-Temporal Variability of Temperature Pulsations under Convection’, in E. Mursch-Radlgruber and P. Seibert (eds.), Proceedings of the 9th International Symposium on Acoustic Remote Sensing, Vienna, pp. 243-246.

  • Kallistratova, M. A. and Petenko, I. V.: 1993, ‘Study of Optical Turbulence in the Atmospheric Boundary Layer by Acoustic Remote Sensing’, SPIE, Atmospheric Propagation and Remote Sensing II 1968, 607-618.

    Google Scholar 

  • Kolmogorov, A. N.: 1962, ‘A Refinement of Previous Hypotheses Concerning the Local Structure of Turbulence in a Viscous Incompressible Fluid at High Reynolds Number’, J. Fluid Mech. 13, 82-85.

    Google Scholar 

  • Luhar, A. K. and Britter, R. E.: 1989, ‘A Random Walk Model for Dispersion in Inhomogeneous Turbulence in a Convective Boundary Layer’, Atmos. Environ. 23, 1911-1924.

    Google Scholar 

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

    Google Scholar 

  • Neff, W. D. and Coulter, R. L.: 1986, ‘Acoustic Remote Sensing’, in D. Lenschow (ed.), Probing the Atmospheric Boundary Layer, AMS, Boston, pp. 201-239.

    Google Scholar 

  • Obukhov, A. M.: 1962, ‘Some Specific Features of Atmospheric Turbulence’, J. Geophys. Res. 67, 3011-3014.

    Google Scholar 

  • Petenko, I. V.: 1996, ‘Coherent Structures Properties in the Convective ABL Derived from Sodar Data’, in M. A. Kallistratova (ed.), Proceedings of the 8th International Symposium on Acoustic Remote Sensing, Moscow, pp. G.51-G.62.

  • Petenko, I. V. and Beljavskaya, V. D.: 1994, ‘Spatial and Temporal Variability of Optically Active Turbulence in the Convective Atmospheric Boundary Layer’, SPIE, Atmospheric Propagation and Remote Sensing III 1968, 607-618.

    Google Scholar 

  • Petenko, I. V. and Shurygin, E. A.: 1996, ‘Probability Distribution of Echo-Signal Intensity in the Convective Atmospheric Boundary Layer’, in M. A. Kallistratova (ed.), Proceedings of the 8th International Symposium on Acoustic Remote Sensing, Moscow, pp. 6.47-6.52.

  • Spizzichino, A.: 1974, ‘Discussion of the Operating Conditions of a Doppler Sodar’, J. Geophys. Res. 79, 5585-5591.

    Google Scholar 

  • Tatarskii, V. I.: 1971, The Effects of the Turbulent Atmosphere on Wave Propagation, Israel Program for Scientific Translations, Jerusalem, 472 pp.

    Google Scholar 

  • Thieme, N. S., Shurygin, Ye. A., and Nesterova, T. N.: 1987, ‘The Intermittence of Turbulence and the Fluctuations of Echo Return Intensity in Acoustic Sounding in the Convective Atmosphere’, Izv. Acad. Sci. USSR, Atmos. Oceanic Phys. 23, 21-30.

    Google Scholar 

  • Weil, J. C.: 1990, ‘A Diagnosis of the Assymetry in Top-Down and Bottom-Up Diffusion Using a Lagrangian Stochastic Model’, J. Atmos. Sci. 47, 501-515.

    Google Scholar 

  • Zhou, M. Y., Lu, N.-P., and Chen, Y.-J.: 1980, ‘The Detection of the Temperature Structure Coefficient of the Atmospheric Boundary Layer by Acoustic Radar’, J. Acoust. Soc. Amer. 68, 303-308.

    Google Scholar 

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Petenko, I.V., Shurygin, E.A. A Two-Regime Model For The Probability Density Function Of The Temperature Structure Parameter In The Convective Boundary Layer. Boundary-Layer Meteorology 93, 381–394 (1999). https://doi.org/10.1023/A:1002015522817

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  • DOI: https://doi.org/10.1023/A:1002015522817

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