Local properties of extended self-similarity in three-dimensional turbulence.

Phys Rev E Stat Nonlin Soft Matter Phys

Department of Physics, Chuo University, Tokyo 112-8551, Japan.

Published: July 2001

Using a generalization of extended self-similarity we have studied local scaling properties of incompressible homogeneous isotropic three-dimensional turbulence in a direct numerical simulation. We have found that these properties are consistent with log-normal-like behavior of the velocity increments with moderate amplitudes for space scales r beginning from Kolmogorov length eta up to the largest scales, and in the whole range of the Reynolds numbers: 50 < or = R(lambda) < or = 459. The locally determined intermittency exponent mu(r) varies with r; it has a maximum at scale r=14 eta, independent of R(lambda).

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http://dx.doi.org/10.1103/PhysRevE.64.016304DOI Listing

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