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

Research output: Contribution to journalArticle

35 Citations (Scopus)

Abstract

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
Volume72
Issue number5
DOIs
Publication statusPublished - May 1 2003
Externally publishedYes

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direct numerical simulation
vorticity
boxes
energy dissipation
turbulence
high resolution
simulators
velocity distribution
grids
exponents
approximation
simulation

Keywords

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

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Spectra of energy dissipation, enstrophy and pressure by high-resolution direct numerical simulations of turbulence in a periodic box. / Ishihara, Takashi; Kaneda, Yukio; Yokokawa, Mitsuo; Itakura, Ken'ichi; Uno, Atsuya.

In: Journal of the Physical Society of Japan, Vol. 72, No. 5, 01.05.2003, p. 983-986.

Research output: Contribution to journalArticle

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