Examination of Kolmogorov's 4/5 law by high-resolution direct numerical simulation data of turbulence

Yukio Kaneda, Junya Yoshino, Takashi Ishihara

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

Kolmogorov's 4/5 law is examined quantitatively by using the data of direct numerical simulations of incompressible turbulence in a periodic box with the number of grid points and the Taylor micro-scale Reynolds number 2048 3 and Rλ ≈ 732, respectively. The examination is based on a generalization of the Kármán-Howarth-Kolmogorov (KHK) equation for isotropic turbulence to anitropic turbulence. An emphasis is put on the influence of the finite Reynolds number, length-scale and the weak but finite anisotropy. The analysis of the DNS data gives a quantitative idea on the role of the viscous and forcing terms in the KHK equation. It also suggests that the anisotropy has substantial influence on the 4/5 law for a wide scale-range.

Original languageEnglish
Article number064401
Journaljournal of the physical society of japan
Volume77
Issue number6
DOIs
Publication statusPublished - Jun 1 2008
Externally publishedYes

Keywords

  • 4/5 law
  • Anisotropy
  • High-resolusion DNS
  • Reynolds number
  • Scale-dependence

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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