On the effects of surrogacy of energy dissipation in determining the intermittency exponent in fully developed turbulence

Abstract

The two-point correlation function of the energy dissipation, obtained from a one-point time record of an atmospheric boundary layer, reveals a rigorous power-law scaling with intermittency exponent mu=0.20 over almost the entire inertial range of scales. However, for the related integral moment, the power-law scaling is restricted to the upper part of the inertial range only. This observation is explained in terms of the operational surrogacy of the construction of energy dissipation, which influences the behaviour of the correlation function for small separation distances.

References in corpus (4)

• The multifractal nature of turbulent energy dissipation
• The Extraction of Anisotropic Contributions in Turbulent Flows
• Derivative moments in stationary homogeneous shear turbulence
• Invariants for Correlations of Velocity Differences in Turbulent Fields

Cited by in corpus (6)

• On the intermittency exponent of the turbulent energy cascade
• Large-scale lognormal fluctuations in turbulence velocity fields
• On Landau's prediction for large-scale fluctuation of turbulence energy dissipation
• Fluctuations of statistics among subregions of a turbulence velocity field
• Statistical mechanics and large-scale velocity fluctuations of turbulence
• Logarithmic and nonlogarithmic scaling laws of two-point statistics in wall turbulence