Refined Similarity Hypothesis for Transverse Structure Functions in Fluid Turbulence

Details Refined Similarity Hypothesis for Transverse Structure Functions in Fluid Turbulence Refined Similarity Hypothesis for Transverse Structure Functions in Fluid Turbulence

Sep 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997phrvl..79.2253c&link_type=abstract

Physical Review Letters, Volume 79, Issue 12, September 22, 1997, pp.2253-2256

Physics

57

Scientific paper

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 appear to represent two independent scaling groups.

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