Scaling of structure functions

G. Stolovitzky, K. R. Sreenivasan

Research output: Contribution to journalArticle

Abstract

In a recent paper, Benzi et al. [Università di Roma, Report No. ROM 2F/92/54 (unpublished)] proposed that an extensive scaling region can be observedeven at moderate Reynolds numbers when the structure functions of arbitrary order are plotted against the third-order structure function, and that the scaling region in such plots encompasses both inertial and dissipative ranges. This notion of extended self-similarity is analyzed here, and it is found that the concept is valid when it entails low-order structure functions, but that the scaling in the inertial and dissipation regions differs clearly for high orders. The same is true also for moments of the absolute value of velocity increments.

Original languageEnglish (US)
JournalPhysical Review E
Volume48
Issue number1
DOIs
StatePublished - 1993

Fingerprint

Structure-function
Scaling
scaling
Self-similarity
Absolute value
Increment
Reynolds number
Dissipation
dissipation
plots
Valid
Higher Order
Moment
moments
Arbitrary
Range of data

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

Scaling of structure functions. / Stolovitzky, G.; Sreenivasan, K. R.

In: Physical Review E, Vol. 48, No. 1, 1993.

Research output: Contribution to journalArticle

Stolovitzky, G. ; Sreenivasan, K. R. / Scaling of structure functions. In: Physical Review E. 1993 ; Vol. 48, No. 1.
@article{1a7d923c37be45d6b83f2e6294ae57c2,
title = "Scaling of structure functions",
abstract = "In a recent paper, Benzi et al. [Universit{\`a} di Roma, Report No. ROM 2F/92/54 (unpublished)] proposed that an extensive scaling region can be observedeven at moderate Reynolds numbers when the structure functions of arbitrary order are plotted against the third-order structure function, and that the scaling region in such plots encompasses both inertial and dissipative ranges. This notion of extended self-similarity is analyzed here, and it is found that the concept is valid when it entails low-order structure functions, but that the scaling in the inertial and dissipation regions differs clearly for high orders. The same is true also for moments of the absolute value of velocity increments.",
author = "G. Stolovitzky and Sreenivasan, {K. R.}",
year = "1993",
doi = "10.1103/PhysRevE.48.R33",
language = "English (US)",
volume = "48",
journal = "Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics",
issn = "1063-651X",
publisher = "American Physical Society",
number = "1",

}

TY - JOUR

T1 - Scaling of structure functions

AU - Stolovitzky, G.

AU - Sreenivasan, K. R.

PY - 1993

Y1 - 1993

N2 - In a recent paper, Benzi et al. [Università di Roma, Report No. ROM 2F/92/54 (unpublished)] proposed that an extensive scaling region can be observedeven at moderate Reynolds numbers when the structure functions of arbitrary order are plotted against the third-order structure function, and that the scaling region in such plots encompasses both inertial and dissipative ranges. This notion of extended self-similarity is analyzed here, and it is found that the concept is valid when it entails low-order structure functions, but that the scaling in the inertial and dissipation regions differs clearly for high orders. The same is true also for moments of the absolute value of velocity increments.

AB - In a recent paper, Benzi et al. [Università di Roma, Report No. ROM 2F/92/54 (unpublished)] proposed that an extensive scaling region can be observedeven at moderate Reynolds numbers when the structure functions of arbitrary order are plotted against the third-order structure function, and that the scaling region in such plots encompasses both inertial and dissipative ranges. This notion of extended self-similarity is analyzed here, and it is found that the concept is valid when it entails low-order structure functions, but that the scaling in the inertial and dissipation regions differs clearly for high orders. The same is true also for moments of the absolute value of velocity increments.

UR - http://www.scopus.com/inward/record.url?scp=35949005670&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=35949005670&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.48.R33

DO - 10.1103/PhysRevE.48.R33

M3 - Article

VL - 48

JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

SN - 1063-651X

IS - 1

ER -