A Refined Similarity Hypothesis for Transverse Structure Functions

Details A Refined Similarity Hypothesis for Transverse Structure Functions A Refined Similarity Hypothesis for Transverse Structure Functions

1997-04-06

arxiv.org/abs/chao-dyn/9704009v1

Nonlinear Sciences

Chaotic Dynamics

4 pages, 5 figures

Scientific paper

10.1103/PhysRevLett.79.2253

We argue on the basis of empirical data that Kolmogorov's refined similarity hypothesis (RSH) needs to be modified for transverse velocity increments, and propose an alternative. In this new form, transverse velocity increments bear the same relation to locally averaged enstrophy (squared vorticity) as longitudinal velocity increments bear in RSH to locally averaged dissipation. We support this hypothesis by analyzing high-resolution numerical simulation data for isotropic turbulence. RSH and its proposed modification for transverse velocity increments (RSHT) appear to represent two independent scaling groups.

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