Abstract
It is shown that intermittent structures in turbulence can be quantitatively described in the framework of the hierarchical structure model of She and Leveque (Phy. Rev. Lett. 72 (1994) 366). Nearly isotropic turbulence can be characterized by a universal hierarchical symmetry parameter β and a characteristic (non-universal) singularity index γ. It is demonstrated that both β and γ can be directly obtained from an analysis of experimental velocity data in terms of the velocity structure functions and their scaling exponents. The procedure is validated by the analysis of a series of turbulence data including a swirling turbulent flow, a 3-D DNS turbulence data, and a GOY shell model of turbulence. The physical interpretation of the parameters β and γ suggests that this quantification provides a physically meaningful characterization of different turbulent environments. A convergence study of moments and scaling exponents is carried out with a detailed analysis of finite sample size effects.
Published Version
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