Reynolds number scaling of velocity increments in isotropic turbulence

Kartik P. Iyer, Katepalli R. Sreenivasan, P. K. Yeung

Research output: Contribution to journalArticle

Abstract

Using the largest database of isotropic turbulence available to date, generated by the direct numerical simulation (DNS) of the Navier-Stokes equations on an 81923 periodic box, we show that the longitudinal and transverse velocity increments scale identically in the inertial range. By examining the DNS data at several Reynolds numbers, we infer that the contradictory results of the past on the inertial-range universality are artifacts of low Reynolds number and residual anisotropy. We further show that both longitudinal and transverse velocity increments scale on locally averaged dissipation rate, just as postulated by Kolmogorov's refined similarity hypothesis, and that, in isotropic turbulence, a single independent scaling adequately describes fluid turbulence in the inertial range.

Original languageEnglish (US)
Article number021101
JournalPhysical Review E
Volume95
Issue number2
DOIs
StatePublished - Feb 10 2017

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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