Singularities in multifractal turbulence dissipation networks and their degeneration

A. Bershadskii and C.H. Gibson

Physica A: Statistical Mechanics and its Applications, 1994, vol. 212, issue 3, 251-260

Abstract: We suggest that large-scale turbulence dissipation is concentrated along caustic networks (that appear due to vortex sheet instability in three-dimensional space), leading to an effective fractal dimension Deff = 53 of the networl backbone (without caustic singularities) and a turbulence intermittency exponent μ = 16. If there are singularities on these caustic networks then Deff < 53 and μ > 16. It is shown (using the theory of caustic singularities) that the strongest (however, stable on the backbone) singularities lead to Deff = 43 (an elastic backbone) and to μ = 13. Thus, there is a restriction of the network fractal variability: 43 < Deff < 53, and consequently: 16 < μ < 13.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:212:y:1994:i:3:p:251-260

DOI: 10.1016/0378-4371(94)90331-X

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