Refined similarity hypothesis using three-dimensional local averages

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

Research output: Contribution to journalArticle

Abstract

The refined similarity hypotheses of Kolmogorov, regarded as an important ingredient of intermittent turbulence, has been tested in the past using one-dimensional data and plausible surrogates of energy dissipation. We employ data from direct numerical simulations, at the microscale Reynolds number Rλ∼650, on a periodic box of 40963 grid points to test the hypotheses using three-dimensional averages. In particular, we study the small-scale properties of the stochastic variable V=Δu(r)/(rεr)1/3, where Δu(r) is the longitudinal velocity increment and εr is the dissipation rate averaged over a three-dimensional volume of linear size r. We show that V is universal in the inertial subrange. In the dissipation range, the statistics of V are shown to depend solely on a local Reynolds number.

Original languageEnglish (US)
Article number063024
JournalPhysical Review E
Volume92
Issue number6
DOIs
StatePublished - Dec 28 2015

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Reynolds number
Dissipation
dissipation
Three-dimensional
Energy Dissipation
direct numerical simulation
ingredients
microbalances
Increment
boxes
Turbulence
energy dissipation
turbulence
grids
statistics
Statistics
Grid
Range of data
Similarity
Direct numerical Simulation

ASJC Scopus subject areas

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

Cite this

Refined similarity hypothesis using three-dimensional local averages. / Iyer, Kartik P.; Sreenivasan, Katepalli R.; Yeung, P. K.

In: Physical Review E, Vol. 92, No. 6, 063024, 28.12.2015.

Research output: Contribution to journalArticle

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