Data-driven derivation of the turbulent energy cascade generator

Within the framework of random multiplicative energy cascade models of fully developed turbulence, expressions for two-point correlators and cumulants are derived, taking into account a proper conversion from an ultrametric to an Euclidean two-point distance. The comparison with two-point statistics...

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Bibliographic Details
Published in:arXiv.org 2003-12
Main Authors: Cleve, J, Dziekan, T, Schmiegel, J, Barndorff-Nielsen, O E, Pearson, B R, Sreenivasan, K R, Greiner, M
Format: Article
Language:English
Subjects:
Atmospheric boundary layer
Atmospheric models
Correlators
Deduction
Energy dissipation
Exponents
Turbulence
Wind tunnels
Online Access:Get full text
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Summary:Within the framework of random multiplicative energy cascade models of fully developed turbulence, expressions for two-point correlators and cumulants are derived, taking into account a proper conversion from an ultrametric to an Euclidean two-point distance. The comparison with two-point statistics of the surrogate energy dissipation, extracted from various wind tunnel and atmospheric boundary layer records, allows an accurate deduction of multiscaling exponents and cumulants. These exponents serve as the input for parametric estimates of the probabilistic cascade generator.
ISSN:2331-8422