Spectra of energy dissipation, enstrophy and pressure by high-resolution direct numerical simulations of turbulence in a periodic box

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

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35 Citations (Scopus)


The spectra of the squares of velocity quadratics including the energy dissipation rate ε per unit mass, the enstrophy ω2 and the pressure p were measured using the data obtained from direct numerical simulations (DNSs) of incompressible turbulence in a periodic box with number of grid points up to 20483. These simulations were performed using the Earth Simulator computing system. The spectra for ε, ω2 and p exhibited a wave number range in which the spectra scaled with the wave number k as ∝-a. Exponent a for p was about 1.81, which is in good agreement with the value obtained by assuming the joint probability distribution of the velocity field to be Gaussian, while a values for ε and ω2 were about 2/3, and very different from the Gaussian approximation values.

Original languageEnglish
Pages (from-to)983-986
Number of pages4
Journaljournal of the physical society of japan
Issue number5
Publication statusPublished - May 1 2003
Externally publishedYes



  • Energy dissipation rate
  • Enstrophy
  • High-resolution DNS
  • Pressure
  • Spectrum

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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