Energy spectrum in the near dissipation range of high resolution direct numerical simulation of turbulence

Takashi Ishihara, Yukio Kaneda, Mitsuo Yokokawa, Ken'ichi Itakura, Atsuya Uno

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

The energy spectrum in the near dissipation range of turbulence is studied by analyzing the data of a series of high-resolution direct numerical simulations of incompressible homogeneous turbulence in a periodic box with the Taylor micro-scale Reynolds number Rλ and resolution ranging up to about 675 and 40963, respectively. The spectra in the Reynolds number range fit well to the form C(kη)α exp(-βkη) in the wavenumber range 0.5 ≲lt; kη ≲ 1.5, where η is the Kolmogorov dissipation length scale and C, α and β are constants independent of k. The values of α and β decrease monotonically with Rλ, and they are consistent with the conjecture that they approach to constants as Rλ → ∞, but the approach, especially that of β, is slow.

Original languageEnglish
Pages (from-to)1464-1471
Number of pages8
JournalJournal of the Physical Society of Japan
Volume74
Issue number5
DOIs
Publication statusPublished - May 1 2005
Externally publishedYes

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direct numerical simulation
Reynolds number
energy spectra
dissipation
turbulence
homogeneous turbulence
high resolution
boxes

Keywords

  • Direct numerical simulation
  • Energy spectrum
  • High-Reynolds-number turbulence
  • Homogeneous isotropic turbulence
  • Near dissipation range

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Energy spectrum in the near dissipation range of high resolution direct numerical simulation of turbulence. / Ishihara, Takashi; Kaneda, Yukio; Yokokawa, Mitsuo; Itakura, Ken'ichi; Uno, Atsuya.

In: Journal of the Physical Society of Japan, Vol. 74, No. 5, 01.05.2005, p. 1464-1471.

Research output: Contribution to journalArticle

Ishihara, Takashi ; Kaneda, Yukio ; Yokokawa, Mitsuo ; Itakura, Ken'ichi ; Uno, Atsuya. / Energy spectrum in the near dissipation range of high resolution direct numerical simulation of turbulence. In: Journal of the Physical Society of Japan. 2005 ; Vol. 74, No. 5. pp. 1464-1471.
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