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Phenomenological theory of probability distributions in turbulence

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Abstract

A phenomenological theory of single-point probability distributions in turbulence is presented. Expressions for the probability distribution functions are derived and analyzed for a decaying passive scalar, temperature fluctuations in Bénard convection and vorticity fluctuations in both stationary and decaying homogeneous, isotropic turbulence. The predictions of the theory are compared with the results of physical and numerical experiments.

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Yakhot, V., Orszag, S.A., Balachandar, S. et al. Phenomenological theory of probability distributions in turbulence. J Sci Comput 5, 199–221 (1990). https://doi.org/10.1007/BF01089164

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Key words

  • Turbulence
  • probability distributions
  • temperature fluctuations
  • vorticity