Analysis of turbulence by statistics based on generalized entropies

DOI10.1016/S0378-4371(01)00072-3zbMath0978.76034OpenAlexW2078682988MaRDI QIDQ5936578

Naoko Arimitsu, Toshihico Arimitsu

Publication date: 2 July 2001

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-4371(01)00072-3

zbMATH Keywords

Havrda-Charvat-Tsallis entropyprobability density functionsRenyi entropyscaling exponentvelocity fluctuationvelocity structure function

Mathematics Subject Classification ID

Statistical turbulence modeling (76F55)

Related Items (14)

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Cites Work

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• On the scaling of three-dimensional homogeneous and isotropic turbulence
• Possible generalization of Boltzmann-Gibbs statistics.
• The structure of isotropic turbulence at very high Reynolds numbers
• Some specific features of atmospheric tubulence
• A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number
• A simple dynamical model of intermittent fully developed turbulence
• Tsallis statistics and fully developed turbulence
• The multifractal nature of turbulent energy dissipation
• Tsallis statistics and turbulence

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