Quasi-closure and scaling of turbulence

Authors
Citation
J. Qian, Quasi-closure and scaling of turbulence, INT J MOD B, 15(8), 2001, pp. 1085-1116
Citations number
36
Language
INGLESE
art.tipo
Review
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science
Journal title
INTERNATIONAL JOURNAL OF MODERN PHYSICS B
ISSN journal
0217-9792 → ACNP
Volume
15
Issue
8
Year of publication
2001
Pages
1085 - 1116
Database
ISI
SICI code
0217-9792(20010330)15:8<1085:QASOT>2.0.ZU;2-2
Abstract
A statistically stationary isotropic turbulence is of quasi-closure, i.e. i ts high-order statistical moments can be derived from its low-order moments . A workable quasi-closure scheme is developed for the structure functions of incompressible homogeneous isotropic turbulence based upon a non-Gaussia n statistical model. The second order structure function is obtained by sol ving the spectral dynamic equation or by using an empirical formula such as the Batchelor fit, and then the high-order structure functions is calculat ed by the quasi-closure scheme. We study the absolute and relative scaling of the structure functions of isotropic turbulence in connection with Kolmo gorovs' 1941 theory (K41) and his 1962 theory (K62). In contrast to K62 and various intermittency models, our results suggest a different picture of s caling of isotropic turbulence: the anomalous scaling of structure function s observed in experiments and numerical simulations is a finite Reynolds nu mber effect, and the K41 normal scaling is valid in the real Kolmogorov ine rtial range corresponding to an infinite Reynolds number.