Measurement of F(a) from Scaling of Histograms and Application to Dynamical Systems and 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 | Baltimore, MD 21218

ABSTRACT: A procedure for obtaining f(a) directly from the scaling of histograms of multifractal measures is presented, and is applied to several measures arising in dynamical systems and fully developed turbulence. The method works well when the scaling range is large, and useful statistical information on iso-sets such as lacunarity can be obtained. However, if the available scaling range is small, corrections of second order become importance and bias the f(a) curve obtained directly.

Phys. Letts. A, Vol 137, pp. 103-112

DOI: 10.1016/0375-9601(89)90093-5 | Full PDF
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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