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Networks and multifractal asymptotics in turbulence

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  • Bershadskii, A.

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.

Suggested Citation

  • Bershadskii, A., 1996. "Networks and multifractal asymptotics in turbulence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 227(3), pages 165-172.
    • Handle: RePEc:eee:phsmap:v:227:y:1996:i:3:p:165-172
    DOI: 10.1016/0378-4371(96)00019-2
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    1. Koike, Takuji & Yamamoto, Taku, 1990. "Stochastic Variation of Systematic Risk in the Market Model," Economic Review, Hitotsubashi University, vol. 41(3), pages 228-240, July.
    2. Bershadskii, A. & Kit, E. & Tsinober, A., 1993. "Self-organization and fractal dynamics in turbulence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 199(3), pages 453-475.
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