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On the Rapid Increase of Intermittency in the Near-Dissipation Range of Fully Developed Turbulence

Laurent Chevillard·Bernard Castaing·Emmanuel Leveque
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Abstract

Intermittency, measured as log(F(r)/3), 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.

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Laurent Chevillard, Bernard Castaing, Emmanuel Leveque. 2005-07-04. On the Rapid Increase of Intermittency in the Near-Dissipation Range of Fully Developed Turbulence. https://doi.org/10.1140/epjb%2Fe2005-00214-4

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