English

Data-driven derivation of the turbulent energy cascade generator

Fluid Dynamics 2007-05-23 v1 Condensed Matter

Abstract

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.

Keywords

Cite

@article{arxiv.physics/0312113,
  title  = {Data-driven derivation of the turbulent energy cascade generator},
  author = {J. Cleve and T. Dziekan and J. Schmiegel and O. E. Barndorff-Nielsen and B. R. Pearson and K. R. Sreenivasan and M. Greiner},
  journal= {arXiv preprint arXiv:physics/0312113},
  year   = {2007}
}

Comments

15 pages, 6 figures

R2 v1 2026-07-22T18:58:00.930Z