Dissipation, enstrophy and pressure statistics in turbulence simulations at high Reynolds numbers

P. K. Yeung, D. A. Donzis, K. R. Sreenivasan

Research output: Contribution to journalArticle

Abstract

We use data from well-resolved direct numerical simulations at Taylor-scale Reynolds numbers from 140 to 1000 to study the statistics of energy dissipation rate and enstrophy density (i.e. the square of local vorticity). Despite substantial variability in each of these variables, their extreme events not only scale in a similar manner but also progressively tend to occur spatially together as the Reynolds number increases. Though they possess non-Gaussian tails of enormous amplitudes, ratios of some characteristic properties can be closely linked to those of isotropic Gaussian random fields. We present results also on statistics of the pressure Laplacian and conditional mean pressure given both dissipation and enstrophy. At low Reynolds number intense negative pressure fluctuations are preferentially associated with rotation-dominated regions but at high Reynolds number both high dissipation and high enstrophy have similar effects.

Original languageEnglish (US)
Pages (from-to)5-15
Number of pages11
JournalJournal of Fluid Mechanics
Volume700
DOIs
StatePublished - Jun 10 2012

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high Reynolds number
vorticity
Reynolds number
Turbulence
dissipation
turbulence
Statistics
statistics
simulation
Direct numerical simulation
low Reynolds number
Vorticity
direct numerical simulation
Energy dissipation
energy dissipation

Keywords

  • homogeneous turbulence
  • intermittency
  • turbulence simulation

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Condensed Matter Physics

Cite this

Dissipation, enstrophy and pressure statistics in turbulence simulations at high Reynolds numbers. / Yeung, P. K.; Donzis, D. A.; Sreenivasan, K. R.

In: Journal of Fluid Mechanics, Vol. 700, 10.06.2012, p. 5-15.

Research output: Contribution to journalArticle

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