Cumulant Corrections in Turbulence

Quasinormal Approximation, Direct Interaction Approximation, and Non-Gaussian Properties of Turbulence
  • Robert Rubinstein
  • Wouter J. T. Bos
Part of the Springer Proceedings in Physics book series (SPPHY, volume 141)


The calculation of fourth-order cumulants by Kraichnan’s direct interaction approximation is reviewed and applied to the Batchelor-Howells-Townsend spectrum in low Prandtl number scalar convection.


Passive Scalar Fourier Amplitude Correlation Tensor Linear Response Function Fourth Order Correlation 
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  1. 1.
    Tatsumi, T.: Proc. Roy. Soc. A239, 16–45 (1957)MathSciNetGoogle Scholar
  2. 2.
    Kraichnan, R.H.: J. Fluid Mech. 5, 497–543 (1959)MathSciNetzbMATHCrossRefGoogle Scholar
  3. 3.
    Proudman, I.: The mechanics of turbulence, p. 107. Gordon and Breach, New York (1961)Google Scholar
  4. 4.
    Chen, S., Herring, J., Kerr, R., Kraichnan, R.H.: Phys. Fluids A 1, 1844 (1989)zbMATHCrossRefGoogle Scholar
  5. 5.
    Kraichnan, R.H.: Phys. Fluids 11, 945–953 (1968)MathSciNetzbMATHCrossRefGoogle Scholar
  6. 6.
    Batchelor, G.K., Howells, I.D., Townsend, A.A.: J. Fluid Mech. 5, 134–139 (1959)MathSciNetzbMATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Robert Rubinstein
    • 1
  • Wouter J. T. Bos
    • 2
  1. 1.Newport NewsNewport NewsUSA
  2. 2.CNRS-LMFA, Ecole Centrale de LyonUniversité de LyonEcullyFrance

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