Study of high-reynolds number isotropic turbulence by direct numerical simulation

Takashi Ishihara, Toshiyuki Gotoh, Yukio Kaneda

Research output: Contribution to journalReview article

307 Citations (Scopus)

Abstract

We review studies of the statistics of isotropic turbulence in an incompressible fluid at high Reynolds numbers using direct numerical simulation (DNS) from the viewpoint of fundamental physics. The Reynolds number achieved by the largest DNS, with 40963 grid points, is comparable with the largest Reynolds number in laboratory experiments. The high-quality DNS data in the inertial subrange and the dissipative range enable the examination of detailed statistics at small scales, such as the normalized energy-dissipation rate, energy and energy-flux spectra, the intermittency of the velocity gradients and increments, scaling exponents, and flow-field structure. We emphasize basic questions of turbulence, universality in the sense of Kolmogorov's theory, and the dependence of the statistics on the Reynolds number and scale.

Original languageEnglish
Pages (from-to)165-180
Number of pages16
JournalAnnual Review of Fluid Mechanics
Volume41
DOIs
Publication statusPublished - Jan 1 2009
Externally publishedYes

Fingerprint

isotropic turbulence
high Reynolds number
direct numerical simulation
Reynolds number
statistics
Kolmogorov theory
incompressible fluids
intermittency
flow distribution
examination
energy dissipation
turbulence
grids
exponents
scaling
gradients
physics
energy

Keywords

  • Inertial subrange
  • Intermittency
  • Kolmogorov's theory
  • Statistics
  • Universality
  • Visualization

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Study of high-reynolds number isotropic turbulence by direct numerical simulation. / Ishihara, Takashi; Gotoh, Toshiyuki; Kaneda, Yukio.

In: Annual Review of Fluid Mechanics, Vol. 41, 01.01.2009, p. 165-180.

Research output: Contribution to journalReview article

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