Simple multifractal cascade model for fully developed turbulence
- 28 September 1987
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 59 (13), 1424-1427
- https://doi.org/10.1103/physrevlett.59.1424
Abstract
A simple model is presented for the energy-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.Keywords
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