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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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Author notes

  1. S. Balachandar & Lawrence Sirovich

    Present address: Department of Applied Mathematics, Brown University, Providence, Rhode Island

Authors and Affiliations

  1. Applied & Computational Mathematics, Princeton University, 08544, Princeton, New Jersey

    Victor Yakhot, Steven A. Orszag, S. Balachandar, Eric Jackson, Zhen-Su She & Lawrence Sirovich

Authors
  1. Victor Yakhot
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  2. Steven A. Orszag
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  3. S. Balachandar
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  4. Eric Jackson
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  5. Zhen-Su She
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  6. Lawrence Sirovich
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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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  • DOI: https://doi.org/10.1007/BF01089164

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