On the existence and scaling of structure functions in turbulence according to the data | Zendy

Àlex Arenas | Zendy; Alexandre J. Chorin | Zendy

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On the existence and scaling of structure functions in turbulence according to the data

Author(s) -

Àlex Arenas,

Alexandre J. Chorin

Publication year - 2006

Publication title -

proceedings of the national academy of sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 5.011

H-Index - 771

eISSN - 1091-6490

pISSN - 0027-8424

DOI - 10.1073/pnas.0600482103

Subject(s) - statistical physics , turbulence , skewness , scaling , exponent , inertial frame of reference , mathematics , physics , structure function , homogeneous , field (mathematics) , statistics , classical mechanics , pure mathematics , mechanics , geometry , linguistics , philosophy , particle physics

We sample a velocity field that has an inertial spectrum and a skewness that matches experimental data. In particular, we compute a self-consistent correction to the Kolmogorov exponent and find that for our model it is zero. We find that the higher-order structure functions diverge for orders larger than a certain threshold, as theorized in some recent work. The significance of the results for the statistical theory of homogeneous turbulence is reviewed.

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