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A Parsimonious and Universal Description of Turbulent Velocity Increments

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  • Department of Mathematical Sciences
  • T.N. Thiele Centre

This paper proposes a reformulation and extension of the concept of Extended Self-Similarity. In support of this new hypothesis, we discuss an analysis of the probability density function (pdf) of turbulent velocity increments based on the class of normal inverse Gaussian distributions. It allows for a parsimonious description of velocity increments that covers the whole range of amplitudes and all accessible scales from the finest resolution up to the integral scale. The analysis
is performed for three different data sets obtained from a wind tunnel experiment, a free-jet experiment and an atmospheric boundary layer experiment with Taylor-Reynolds numbers Rλ = 80,190,17000, respectively. The application of a time change in terms of the scale parameter δ of the normal inverse Gaussian distribution reveals some universal features that are inherent to the pdf of all three data sets.

Original languageEnglish
Place of publicationÅrhus
PublisherThiele Centre, Institut for Matematiske Fag, Aarhus Universitet
Number of pages38
Publication statusPublished - 7 Oct 2004

Bibliographical note

Published in Eur. Phys. J. B 41, 345-363

    Research areas

  • fully developed turbulence, normal inverse Gaussian distribution, time change, universality

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