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Estimation of the Kolmogorov constant by large-eddy simulation in the stable PBL

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  • Carvalho, Jonas C.
  • Rizza, Umberto
  • Lovato, Rodrigo
  • Degrazia, Gervásio A.
  • Filho, Edson P.M.
  • Campos, Cláudia R.J.

Abstract

In this paper is evaluated the inertial subrange Kolmogorov constant C0 in a stable boundary-layer. The importance of the constant C0 is well known as predictions of turbulent dispersion by means of Lagrangian stochastic models depend upon its value. Different values of the C0 constant has been proposed along the years, most of them determined at low Reynolds number and/or under different techniques. Here we estimate the constant C0 by tracking an ensemble of Lagrangian particles injected in a stable planetary boundary-layer simulated with a large-eddy simulation model and analyzing the ensemble-averaged Lagrangian velocity structure function in the inertial subrange. Our estimative of C0,w is 3.7, which is consistent with values found in literature. The evaluation of C0,u and C0,v cannot be easily accomplished since it is difficult to identify an inertial subrange for the wind field horizontal components.

Suggested Citation

  • Carvalho, Jonas C. & Rizza, Umberto & Lovato, Rodrigo & Degrazia, Gervásio A. & Filho, Edson P.M. & Campos, Cláudia R.J., 2009. "Estimation of the Kolmogorov constant by large-eddy simulation in the stable PBL," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(8), pages 1500-1508.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:8:p:1500-1508
    DOI: 10.1016/j.physa.2008.12.060
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    References listed on IDEAS

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    1. A. La Porta & Greg A. Voth & Alice M. Crawford & Jim Alexander & Eberhard Bodenschatz, 2001. "Fluid particle accelerations in fully developed turbulence," Nature, Nature, vol. 409(6823), pages 1017-1019, February.
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    Cited by:

    1. Rizza, Umberto & Degrazia, Gervasio Annes & Mangia, Cristina & Filho, Edson Pereira Marques, 2010. "Estimation of the Kolmogorov constant for the Lagrangian velocity spectrum and structure function under different PBL stability regimes generated by LES," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(19), pages 4009-4017.

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