Longitudinal Structure Functions in Decaying and Forced Turbulence

Abstract

In order to reliably compute the longitudinal structure functions in decaying and forced turbulence, local isotropy is examined with the aid of the isotropic expression of the incompressible conditions for the second and third order structure functions. Furthermore, the Karman-Howarth-Kolmogorov relation is investigated to examine the effects of external forcing and temporally decreasing of the second order structure function. On the basis of these investigations, the scaling range and exponents ${\zeta }_n$ of the longitudinal structure functions are determined for decaying and forced turbulence with the aid of the extended-self-similarity (ESS) method. We find that ${\zeta }_n$'s are smaller, for $n\ge 4$, in decaying turbulence than in forced turbulence. The reasons for this discrepancy are discussed. Analysis of the local slopes of the structure functions is used to justify the ESS method.

15 pages, 16 figures

References in corpus (4)

• A Refined Similarity Hypothesis for Transverse Structure Functions
• Kolmogorov equation in fully developed turbulence
• Application of extended self similarity in turbulence
• The Viscous Lengths in Hydrodynamic Turbulence are Anomalous Scaling Functions

Cited by in corpus (13)

• Anisotropy in Turbulent Flows and in Turbulent Transport
• Anomalous scaling, nonlocality and anisotropy in a model of the passively advected vector field
• Spectrum of Anisotropic Exponents in Hydrodynamic Systems with Pressure
• Spectral analysis of structure functions and their scaling exponents in forced isotropic turbulence
• On Landau's prediction for large-scale fluctuation of turbulence energy dissipation
• Onset criteria for freely decaying isotropic turbulence
• An inertial range length scale in structure functions
• Strong Universality in Forced and Decaying Turbulence
• Examination of the four-fifths law for longitudinal third-order moments in incompressible magnetohydrodynamic turbulence in a periodic box
• Investigation of the transfer and dissipation of energy in isotropic turbulence
• The dimensionless dissipation rate and the Kolmogorov (1941) hypothesis of local stationarity in freely decaying isotropic turbulence
• Local properties of extended self-similarity in 3D turbulence
• Scaling in Decaying Turbulence at High Reynolds Numbers