Energy dissipation rate and energy spectrum in high resolution direct numerical simulations of turbulence in a periodic box

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

Research output: Contribution to journalArticle

382 Citations (Scopus)

Abstract

High-resolution direct numerical simulations (DNSs) of incompressible homogeneous turbulence in a periodic box with up to 40963 grid points were performed on the Earth Simulator computing system. DNS databases, including the present results, suggest that the normalized mean energy dissipation rate per unit mass tends to a constant, independent of the fluid kinematic viscosity v as v→. The DNS results also suggest that the energy spectrum in the inertial subrange almost follows the Kolmogorov k-5/3 scaling law, where k is the wavenumber, but the exponent is steeper than -5/3 by about 0.1.

Original languageEnglish
JournalPhysics of Fluids
Volume15
Issue number2
DOIs
Publication statusPublished - Feb 1 2003
Externally publishedYes

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direct numerical simulation
boxes
energy spectra
energy dissipation
turbulence
high resolution
homogeneous turbulence
scaling laws
simulators
kinematics
grids
exponents
viscosity
fluids

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Energy dissipation rate and energy spectrum in high resolution direct numerical simulations of turbulence in a periodic box. / Kaneda, Yukio; Ishihara, Takashi; Yokokawa, Mitsuo; Itakura, Ken'ichi; Uno, Atsuya.

In: Physics of Fluids, Vol. 15, No. 2, 01.02.2003.

Research output: Contribution to journalArticle

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