High-resolution direct numerical simulation of turbulence

Y. Kaneda, Takashi Ishihara

Research output: Contribution to journalReview article

70 Citations (Scopus)

Abstract

We performed high-resolution direct numerical simulations (DNS) of incompressible turbulence in a periodic box by using a Fourier spectral method with the number of grid points up to 40963. The simulations consist of two series: one with kmaxη ∼ 1 (series 1), and the other with kmaxη ∼ 2 (series 2), where kmax is the highest wavenumber in each simulation, and η is the Kolmogorov length scale. In the 40963 DNS, the Taylor scale Reynolds number Rλ ∼ 1200 and the ratio of L/η of the integral length scale L to η is approximately 2200, in series 1. The DNS data analysis reveals simple scaling of various spectra, and also sheds some light on (i) the energy spectrum at high Rλ, (ii) the asymptotic Rλ-dependence of the normalized energy dissipation rate, (iii) the anomalous scaling of the spectra of energy dissipation and enstrophy, and so on. After some preliminary remarks on the methods and limitations of the DNS, this paper presents a review of the DNS data analysis. Discussions are also made on some questions invoked by the DNS.

Original languageEnglish
Pages (from-to)1-17
Number of pages17
JournalJournal of Turbulence
Volume7
DOIs
Publication statusPublished - Apr 11 2006
Externally publishedYes

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Direct numerical simulation
direct numerical simulation
Turbulence
turbulence
high resolution
Energy dissipation
energy dissipation
scaling
spectral methods
vorticity
boxes
Reynolds number
energy spectra
simulation
grids

ASJC Scopus subject areas

  • Computational Mechanics
  • Condensed Matter Physics
  • Mechanics of Materials
  • Physics and Astronomy(all)

Cite this

High-resolution direct numerical simulation of turbulence. / Kaneda, Y.; Ishihara, Takashi.

In: Journal of Turbulence, Vol. 7, 11.04.2006, p. 1-17.

Research output: Contribution to journalReview article

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