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Relating statistical moments and entropy in the stable boundary layer

Author

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  • Quan, L.
  • Ferrero, E.
  • Hu, F.

Abstract

Fourth order moments and their connection with other statistics, including second order moments, skewness and entropy, in stable boundary layers are investigated with a large eddy simulation model (LES), wind tunnel experiment data (WT) and measurements on a meteorological tower in an urban area (MT). The relationship between skewness and kurtosis has been studied through two formulae, whose coefficients are determined for the three data sets. Shannon entropy is analysed as an index of the turbulent flow organization in order to further understand the possible reason for the failure of the QN hypothesis. To quantify this relationship between Shannon entropy and kurtosis, a power function is proposed.

Suggested Citation

  • Quan, L. & Ferrero, E. & Hu, F., 2012. "Relating statistical moments and entropy in the stable boundary layer," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(1), pages 231-247.
    • Handle: RePEc:eee:phsmap:v:391:y:2012:i:1:p:231-247
    DOI: 10.1016/j.physa.2011.07.012
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    References listed on IDEAS

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    1. Beck, Christian, 2000. "Application of generalized thermostatistics to fully developed turbulence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 277(1), pages 115-123.
    2. Ramos, Fernando M. & Rosa, Reinaldo R. & Neto, Camilo Rodrigues & Bolzan, Mauricio J.A. & Sá, Leonardo D.Abreu & Campos Velho, Haroldo F., 2001. "Non-extensive statistics and three-dimensional fully developed turbulence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 295(1), pages 250-253.
    3. Peinke, Joachim & Barth, Stephan & Böttcher, Frank & Heinemann, Detlev & Lange, Bernhard, 2004. "Turbulence, a challenging problem for wind energy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 338(1), pages 187-193.
    4. Beck, Christian, 2002. "Generalized statistical mechanics and fully developed turbulence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 306(C), pages 189-198.
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