Statistics of energy transfer in high-resolution direct numerical simulation of turbulence in a periodic box

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

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The statistics of energy transfer is studied by using 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 R λ and grid points up to approximately 1130 and 4096 3, respectively. The data show that the energy transfer T across the wave number k is highly intermittent and the skewness S and flatness F of T increase with k approximately as S α (kL)αS , F α (kL)αF in the inertial subrange, where αS ∼ 2/3, αF ∼ 1 and L the characteristic length scale of energy containing eddies. The comparison between the statistics of T, the energy dissipation rate ε and its average εr over a domain of scale r shows that T is less intermittent than ε, while there is a certain similarity between the probability distribution functions of T and εr.

Original languageEnglish
Pages (from-to)3202-3212
Number of pages11
Journaljournal of the physical society of japan
Issue number12
Publication statusPublished - Dec 1 2005
Externally publishedYes



  • Direct numerical simulation
  • High-Reynolds-number turbulence
  • Homogeneous isotropic turbulence

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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