Simple Multifractal Cascade Model for Fully Developed Turbulence

C. Meneveau* and K.R. Sreenivasan
Mason Laboratory | Yale University | New Haven, CT 06520
*Present Address: Department of Mechanical Engineering
The Johns Hopkins University | Baltimor,e MD 21218


ABSTRACT: A simple model is presented for the enrgy-cascading process in the inertial range that fits remarkably well the entire spectrum of scaling exponents for the dissipation field in fully developed turbulence. The scheme is a special case of weighted curdling and its one-dimensional version is a simple generalized two-scale Cantor set with equal scales but unequal weights (with ratio~7/3). This set displays all the measured multifractal properties of one dimensional sections of the dissipation field.

Phys. Rev. Lett. 59, pp. 1424–1427 (1987)

DOI: 10.1103/PhysRevLett.59.1424 | Full PDF
Copyright © 1987 by Annual Reviews.All rights reserved.

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Charles Meneveau, Department of Mechanical Engineering, Johns Hopkins University, 3400 N. Charles Street, Baltimore MD 21218, USA, Phone: 1-410-516-7802, Fax: 1-(410) 516-7254, email: [email protected]

  
Last update: 04/18/2011