Reynolds number effect on the velocity increment skewness in isotropic turbulence

Abstract

Second and third order longitudinal structure functions and wavenumber spectra of isotropic turbulence are computed using the EDQNM model and compared to results of the multifractal formalism. At the highest Reynolds number available in windtunnel experiments, $R_{\lambda }=2500$, both the multifractal model and EDQNM give power-law corrections to the inertial range scaling of the velocity increment skewness. For EDQNM, this correction is a finite Reynolds number effect, whereas for the multifractal formalism it is an intermittency correction that persists at any high Reynolds number. Furthermore, the two approaches yield realistic behavior of second and third order statistics of the velocity fluctuations in the dissipative and near-dissipative ranges. Similarities and differences are highlighted, in particular the Reynolds number dependence.

References in corpus (3)

• Spectral imbalance and the normalized dissipation rate of turbulence
• On the Rapid Increase of Intermittency in the Near-Dissipation Range of Fully Developed Turbulence
• A single-time two-point closure based on fluid particle displacements

Cited by in corpus (12)

• A phenomenological theory of Eulerian and Lagrangian velocity fluctuations in turbulent flows
• Dissipation range of the energy spectrum in high Reynolds number turbulence
• Modelling Lagrangian velocity and acceleration in turbulent flows as infinitely differentiable stochastic processes
• Spectral analysis of structure functions and their scaling exponents in forced isotropic turbulence
• A local approach to the study of energy transfers in incompressible magnetohydrodynamic turbulence
• Analysis of Lundgren's matched asymptotic expansion approach to the Kármán-Howarth equation using the EDQNM turbulence closure
• Effect of spatial dimension on a model of fluid turbulence
• A closure theory for the split energy-helicity cascades in homogeneous isotropic homochiral turbulence
• Investigation of the transfer and dissipation of energy in isotropic turbulence
• Qian Jian and His Contribution to Small-Scale Turbulence Studies
• Critical transition to a non-chaotic regime in isotropic turbulence
• Dynamical Fractional and Multifractal Fields