Simple multifractal cascade model for fully developed turbulence

C. Meneveau, K. R. Sreenivasan

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)1424-1427
Number of pages4
JournalPhysical Review Letters
Volume59
Issue number13
DOIs
StatePublished - 1987

Fingerprint

cascades
dissipation
turbulence
exponents
scaling
energy

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Simple multifractal cascade model for fully developed turbulence. / Meneveau, C.; Sreenivasan, K. R.

In: Physical Review Letters, Vol. 59, No. 13, 1987, p. 1424-1427.

Research output: Contribution to journalArticle

@article{d8cb53ccc1bd491e95646063d8f67372,
title = "Simple multifractal cascade model for fully developed turbulence",
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.",
author = "C. Meneveau and Sreenivasan, {K. R.}",
year = "1987",
doi = "10.1103/PhysRevLett.59.1424",
language = "English (US)",
volume = "59",
pages = "1424--1427",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "13",

}

TY - JOUR

T1 - Simple multifractal cascade model for fully developed turbulence

AU - Meneveau, C.

AU - Sreenivasan, K. R.

PY - 1987

Y1 - 1987

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=24544470940&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=24544470940&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.59.1424

DO - 10.1103/PhysRevLett.59.1424

M3 - Article

AN - SCOPUS:24544470940

VL - 59

SP - 1424

EP - 1427

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 13

ER -