Multiscaling and Structure Functions in Turbulence: An Alternative Approach

Mogens H. Jensen

doi:10.1103/physrevlett.83.76

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arXiv · chao-dyn/9901021

Multiscaling and Structure Functions in Turbulence: An Alternative Approach

Mogens H. Jensen

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Abstract

We propose an alternative formulation of structure functions for the velocity field in fully developed turbulence. Instead of averaging moments of the velocity differences as a function of the distance, we suggest to average moments of the distances as a function of the velocity difference. This is like an ``inverted'' structure function, with a different statistics. On the basis of shell model calculations we obtain a new multiscaling spectrum.

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Mogens H. Jensen. 1999-08-06. Multiscaling and Structure Functions in Turbulence: An Alternative Approach. https://doi.org/10.1103/physrevlett.83.76

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