High-resolution direct numerical simulation of turbulence

Y. Kaneda, T. Ishihara

Research output: Contribution to journalReview articlepeer-review

88 Citations (Scopus)


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
Publication statusPublished - 2006
Externally publishedYes

ASJC Scopus subject areas

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


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