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Networks and multifractal asymptotics in turbulence

A. Bershadskii

Physica A: Statistical Mechanics and its Applications, 1996, vol. 227, issue 3, 165-172

Abstract: Generalized dimensions, D±∞, of turbulent energy dissipation and enstrophy fields are theoretically calculated using effective fractal dimensions of corresponding networks. Good correspondence to laboratory and astrophysical experiments is established for non-singular networks. Results for singular networks are comprised with a multifractal analysis of recent laboratory data and a direct numerical simulation. A relation of the results obtained for turbulent percolation is also briefly discussed.

Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:227:y:1996:i:3:p:165-172

DOI: 10.1016/0378-4371(96)00019-2

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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