https://doi.org/10.1140/epjb/e2004-00328-1
A parsimonious and universal description of turbulent velocity increments
Department of Mathematical Sciences, University of Aarhus,
8000 Aarhus, Denmark
Corresponding author: a oebn@imf.au.dk
Received:
24
February
2004
Revised:
13
August
2004
Published online:
21
October
2004
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
, 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.
PACS: 47.27.-i – Turbulent flows, convection, and heat transfer
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2004