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On the rapid increase of intermittency in the near-dissipation range of fully developed turbulence

Author

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  • L. Chevillard
  • B. Castaing
  • E. Lévêque

Abstract

Intermittency, measured as $\log \left({F(r)}/{3}\right)$ , where F(r) is the flatness of velocity increments at scale r, is found to rapidly increase as viscous effects intensify, and eventually saturate at very small scales. This feature defines a finite intermediate range of scales between the inertial and dissipation ranges, that we shall call near-dissipation range. It is argued that intermittency is multiplied by a universal factor, independent of the Reynolds number Re, throughout the near-dissipation range. The (logarithmic) extension of the near-dissipation range varies as $\sqrt{\log Re}$ . As a consequence, scaling properties of velocity increments in the near-dissipation range strongly depend on the Reynolds number. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2005

Suggested Citation

  • L. Chevillard & B. Castaing & E. Lévêque, 2005. "On the rapid increase of intermittency in the near-dissipation range of fully developed turbulence," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 45(4), pages 561-567, June.
    • Handle: RePEc:spr:eurphb:v:45:y:2005:i:4:p:561-567
    DOI: 10.1140/epjb/e2005-00214-4
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    Cited by:

    1. Vindel, Jose M. & Trincado, Estrella, 2010. "The timing of information transmission in financial markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(24), pages 5749-5758.
    2. Trincado, Estrella & Vindel, José María, 2015. "An application of econophysics to the history of economic thought: The analysis of texts from the frequency of appearance of key words," Economics Discussion Papers 2015-51, Kiel Institute for the World Economy (IfW Kiel).

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