Simple multifractal cascade model for fully developed turbulence
Abstract
A simple model is presented for the energycascading 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 onedimensional version is a simple generalized twoscale Cantor set with equal scales but unequal weights (with ratio~(7/3). This set displays all the measured multifractal properties of onedimensional sections of the dissipation field.
 Publication:

Physical Review Letters
 Pub Date:
 September 1987
 DOI:
 10.1103/PhysRevLett.59.1424
 Bibcode:
 1987PhRvL..59.1424M
 Keywords:

 Cascade Flow;
 Fractals;
 Turbulence Models;
 Turbulent Flow;
 Energy Dissipation;
 Flow Distribution;
 Kolmogoroff Theory;
 Power Spectra;
 Vortices;
 Fluid Mechanics and Heat Transfer;
 47.25.c