Finite-size scaling of two-point statistics and the turbulent energy cascade generators

Jochen Cleve, Thomas Dziekan, Jürgen Schmiegel, Ole E. Barndorff-Nielsen, Bruce R. Pearson, Katepalli R. Sreenivasan, Martin Greiner

Research output: Contribution to journalArticle

Abstract

Within the framework of random multiplicative energy cascade models of fully developed turbulence, finite-size-scaling expressions for two-point correlators and cumulants are derived, taking into account the observationally unavoidable 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, even at moderate Reynolds numbers for which simple power-law fits are not feasible. The extracted exponents serve as input for parametric estimates of the probabilistic cascade generator. Various cascade generators are evaluated.

Original languageEnglish (US)
Article number026309
JournalPhysical Review E
Volume71
Issue number2
DOIs
StatePublished - Feb 2005

Fingerprint

Finite-size Scaling
Cascade
cascades
generators
statistics
Cumulants
Generator
Statistics
scaling
Energy
Exponent
exponents
atmospheric boundary layer
Multiscaling
deduction
Wind Tunnel
Correlator
wind tunnels
Energy Dissipation
Deduction

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Cleve, J., Dziekan, T., Schmiegel, J., Barndorff-Nielsen, O. E., Pearson, B. R., Sreenivasan, K. R., & Greiner, M. (2005). Finite-size scaling of two-point statistics and the turbulent energy cascade generators. Physical Review E, 71(2), [026309]. https://doi.org/10.1103/PhysRevE.71.026309

Finite-size scaling of two-point statistics and the turbulent energy cascade generators. / Cleve, Jochen; Dziekan, Thomas; Schmiegel, Jürgen; Barndorff-Nielsen, Ole E.; Pearson, Bruce R.; Sreenivasan, Katepalli R.; Greiner, Martin.

In: Physical Review E, Vol. 71, No. 2, 026309, 02.2005.

Research output: Contribution to journalArticle

Cleve, J, Dziekan, T, Schmiegel, J, Barndorff-Nielsen, OE, Pearson, BR, Sreenivasan, KR & Greiner, M 2005, 'Finite-size scaling of two-point statistics and the turbulent energy cascade generators', Physical Review E, vol. 71, no. 2, 026309. https://doi.org/10.1103/PhysRevE.71.026309
Cleve, Jochen ; Dziekan, Thomas ; Schmiegel, Jürgen ; Barndorff-Nielsen, Ole E. ; Pearson, Bruce R. ; Sreenivasan, Katepalli R. ; Greiner, Martin. / Finite-size scaling of two-point statistics and the turbulent energy cascade generators. In: Physical Review E. 2005 ; Vol. 71, No. 2.
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