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Turbulent statistical characteristics associated to the north wind phenomenon in southern Brazil with application to turbulent diffusion

Author

Listed:
  • Arbage, Maria Cristina Andres
  • Degrazia, Gervásio Annes
  • Welter, Guilherme Sausen
  • Roberti, Débora Regina
  • Acevedo, Otávio Costa
  • de Moraes, Osvaldo Luiz Leal
  • Ferraz, Simone Teleginski
  • Timm, Andréa Ucker
  • Moreira, Virnei Silva

Abstract

A parameterization for the transport processes in a shear driven planetary boundary layer (PBL) has been established employing turbulent statistical quantities measured during the north wind phenomenon in southern Brazil. Therefore, observed one-dimensional turbulent energy spectra are compared with a spectral model based on the Kolmogorov arguments. The good agreement obtained from this comparison leads to well defined formulations for the turbulent velocity variance, local decorrelation time scale and eddy diffusivity. Furthermore, for vertical regions in which the wind shear forcing is relevant, the eddy diffusivity derived from the north wind data presents a similar profile to those obtained from the non-extensive statistical mechanics theory. Finally, a validation for the present parameterization has been accomplished, using a Lagrangian stochastic dispersion model. The Prairie Grass data set, which presents high mean wind speed, is simulated. The analysis developed in this study shows that the turbulence parameterization constructed from wind data for north wind flow cases is able to describe the diffusion in a high wind speed, shear-dominated PBL.

Suggested Citation

  • Arbage, Maria Cristina Andres & Degrazia, Gervásio Annes & Welter, Guilherme Sausen & Roberti, Débora Regina & Acevedo, Otávio Costa & de Moraes, Osvaldo Luiz Leal & Ferraz, Simone Teleginski & Timm, , 2008. "Turbulent statistical characteristics associated to the north wind phenomenon in southern Brazil with application to turbulent diffusion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(16), pages 4376-4386.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:16:p:4376-4386
    DOI: 10.1016/j.physa.2008.02.068
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    Citations

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    Cited by:

    1. Alves, I.P. & Degrazia, G.A. & Buske, D. & Vilhena, M.T. & Moraes, O.L.L. & Acevedo, O.C., 2012. "Derivation of an eddy diffusivity coefficient depending on source distance for a shear dominated planetary boundary layer," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(24), pages 6577-6586.
    2. Cinara Ewerling da Rosa & Michel Stefanello & Silvana Maldaner & Douglas Stefanello Facco & Débora Regina Roberti & Tiziano Tirabassi & Gervásio Annes Degrazia, 2021. "Employing Spectral Analysis to Obtain Dispersion Parameters in an Atmospheric Environment Driven by a Mesoscale Downslope Windstorm," IJERPH, MDPI, vol. 18(24), pages 1-11, December.
    3. Moor, L.P. & Degrazia, G.A. & Stefanello, M.B. & Mortarini, L. & Acevedo, O.C. & Maldaner, S. & Szinvelski, C.R.P. & Roberti, D.R. & Buligon, L. & Anfossi, D., 2015. "Proposal of a new autocorrelation function in low wind speed conditions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 438(C), pages 286-292.

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