Simple multifractal cascade model for fully developed turbulence

C. Meneveau; K. R. Sreenivasan

doi:10.1103/PhysRevLett.59.1424

Simple multifractal cascade model for fully developed turbulence

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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.

Original language	English (US)
Pages (from-to)	1424-1427
Number of pages	4
Journal	Physical Review Letters
Volume	59
Issue number	13
DOIs	https://doi.org/10.1103/PhysRevLett.59.1424
State	Published - 1987

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1103/PhysRevLett.59.1424

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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.",

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Simple multifractal cascade model for fully developed turbulence

Abstract

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