Effects of Wavenumber Truncation on High-Resolution Direct Numerical Simulation of Turbulence

Yosuke Yamazaki, Takashi Ishihara, Yukio Kaneda

Research output: Contribution to journalArticlepeer-review

30 Citations (Scopus)


The effects of wavenumber truncation on the direct numerical simulation (DNS) of incompressible turbulence at high Reynolds numbers using the Fourier spectral method were studied by comparing DNS fields with different truncation wavenumbers, Kmax. The comparison suggests that the error due to truncation increases faster at higher wavenumbers, k, and the increase obeys a simple scaling law in the inertial subrange k ≪ Kmax. Some statistics, such as the energy and dissipation spectra, may remain insensitive to the error, even in the later period, provided that Kmax η ∼ 1 (η is the Kolmogorov length scale), although DNS fields with different Kmax are then essentially uncorrelated to each other.

Original languageEnglish
Pages (from-to)777-781
Number of pages5
Journaljournal of the physical society of japan
Issue number3
Publication statusPublished - Mar 1 2002
Externally publishedYes


  • Direct numerical simulation of turbulence
  • Error growth
  • Wavenumber truncation

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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