Sign-singular measure and its association with turbulent scalings

Samuel I. Vainshtein, Yunson Du, K. R. Sreenivasan

Research output: Contribution to journalArticle

Abstract

Turbulent quantities such as vorticity, which oscillate in sign on very fine scales, have recently been characterized by sign-singular measures [E. Ott, Y. Du, K. R. Sreenivasan, A. Juneja, and A. K. Suri, Phys. Rev. Lett. 69, 2654 (1992)] and quantified by the so-called cancellation exponent. Here, the connection between the cancellation exponent and other known exponents for velocity structure functions and multifractal spectrum of the energy dissipation field is discussed. Comparison with high-Reynolds-number experimental data in one dimension and direct measurements of vorticity in a plane in moderate-Reynolds-number flows reveals excellent internal consistency. Estimates for second-order cancellation exponent are presented.

Original languageEnglish (US)
JournalPhysical Review E
Volume49
Issue number4
DOIs
StatePublished - 1994

Fingerprint

Singular Measures
Cancellation
Exponent
exponents
Scaling
cancellation
scaling
Vorticity
vorticity
Reynolds number
Internal Consistency
Multifractal Spectrum
high Reynolds number
Energy Dissipation
Structure-function
One Dimension
energy dissipation
Experimental Data
estimates
Estimate

ASJC Scopus subject areas

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

Cite this

Sign-singular measure and its association with turbulent scalings. / Vainshtein, Samuel I.; Du, Yunson; Sreenivasan, K. R.

In: Physical Review E, Vol. 49, No. 4, 1994.

Research output: Contribution to journalArticle

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