Multifractal analysis of fluid particle accelerations in turbulence

Details Multifractal analysis of fluid particle accelerations in turbulence Multifractal analysis of fluid particle accelerations in turbulence

2002-10-11

arxiv.org/abs/cond-mat/0210274v4

Physics

Condensed Matter

Statistical Mechanics

19 pages, 5

Scientific paper

The probability density function (PDF) of accelerations in turbulence is derived analytically with the help of the multifractal analysis based on generalized entropy, i.e., the Tsallis or the R\'{e}nyi entropy. It is shown that the derived PDF explains quite well the one obtained by Bodenschatz et al. in the measurement of fluid particle accelerations in the Lagrangian frame at $R_\lambda = 690$, and the one by Gotoh et al. in the DNS with the mesh size 1024$^3$ at $R_\lambda = 380$.

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