Simple multifractal cascade model for fully developed turbulence

Details Simple multifractal cascade model for fully developed turbulence Simple multifractal cascade model for fully developed turbulence

Sep 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987phrvl..59.1424m&link_type=abstract

Physical Review Letters (ISSN 0031-9007), vol. 59, Sept. 28, 1987, p. 1424-1427. DARPA-supported research.

Physics

414

Cascade Flow, Fractals, Turbulence Models, Turbulent Flow, Energy Dissipation, Flow Distribution, Kolmogoroff Theory, Power Spectra, Vortices

Scientific paper

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 a ratio of about 7/3). This set displays all the measured multifractal properties of one-dimensional sections of the dissipation field.

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