Examination of Kolmogorov's 4/5 law by high-resolution direct numerical simulation data of turbulence

Yukio Kaneda; Junya Yoshino; Takashi Ishihara

doi:10.1143/JPSJ.77.064401

Examination of Kolmogorov's 4/5 law by high-resolution direct numerical simulation data of turbulence

Yukio Kaneda, Junya Yoshino, Takashi Ishihara

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

Kolmogorov's 4/5 law is examined quantitatively by using the data of direct numerical simulations of incompressible turbulence in a periodic box with the number of grid points and the Taylor micro-scale Reynolds number 2048 ³ and R_λ ≈ 732, respectively. The examination is based on a generalization of the Kármán-Howarth-Kolmogorov (KHK) equation for isotropic turbulence to anitropic turbulence. An emphasis is put on the influence of the finite Reynolds number, length-scale and the weak but finite anisotropy. The analysis of the DNS data gives a quantitative idea on the role of the viscous and forcing terms in the KHK equation. It also suggests that the anisotropy has substantial influence on the 4/5 law for a wide scale-range.

Original language	English
Article number	064401
Journal	journal of the physical society of japan
Volume	77
Issue number	6
DOIs	https://doi.org/10.1143/JPSJ.77.064401
Publication status	Published - Jun 2008
Externally published	Yes

Keywords

4/5 law
Anisotropy
High-resolusion DNS
Reynolds number
Scale-dependence

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1143/JPSJ.77.064401

Cite this

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title = "Examination of Kolmogorov's 4/5 law by high-resolution direct numerical simulation data of turbulence",

abstract = "Kolmogorov's 4/5 law is examined quantitatively by using the data of direct numerical simulations of incompressible turbulence in a periodic box with the number of grid points and the Taylor micro-scale Reynolds number 2048 3 and Rλ ≈ 732, respectively. The examination is based on a generalization of the K{\'a}rm{\'a}n-Howarth-Kolmogorov (KHK) equation for isotropic turbulence to anitropic turbulence. An emphasis is put on the influence of the finite Reynolds number, length-scale and the weak but finite anisotropy. The analysis of the DNS data gives a quantitative idea on the role of the viscous and forcing terms in the KHK equation. It also suggests that the anisotropy has substantial influence on the 4/5 law for a wide scale-range.",

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journal = "Journal of the Physical Society of Japan",

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T1 - Examination of Kolmogorov's 4/5 law by high-resolution direct numerical simulation data of turbulence

AU - Kaneda, Yukio

AU - Yoshino, Junya

AU - Ishihara, Takashi

PY - 2008/6

Y1 - 2008/6

N2 - Kolmogorov's 4/5 law is examined quantitatively by using the data of direct numerical simulations of incompressible turbulence in a periodic box with the number of grid points and the Taylor micro-scale Reynolds number 2048 3 and Rλ ≈ 732, respectively. The examination is based on a generalization of the Kármán-Howarth-Kolmogorov (KHK) equation for isotropic turbulence to anitropic turbulence. An emphasis is put on the influence of the finite Reynolds number, length-scale and the weak but finite anisotropy. The analysis of the DNS data gives a quantitative idea on the role of the viscous and forcing terms in the KHK equation. It also suggests that the anisotropy has substantial influence on the 4/5 law for a wide scale-range.

AB - Kolmogorov's 4/5 law is examined quantitatively by using the data of direct numerical simulations of incompressible turbulence in a periodic box with the number of grid points and the Taylor micro-scale Reynolds number 2048 3 and Rλ ≈ 732, respectively. The examination is based on a generalization of the Kármán-Howarth-Kolmogorov (KHK) equation for isotropic turbulence to anitropic turbulence. An emphasis is put on the influence of the finite Reynolds number, length-scale and the weak but finite anisotropy. The analysis of the DNS data gives a quantitative idea on the role of the viscous and forcing terms in the KHK equation. It also suggests that the anisotropy has substantial influence on the 4/5 law for a wide scale-range.

KW - 4/5 law

KW - Anisotropy

KW - High-resolusion DNS

KW - Reynolds number

KW - Scale-dependence

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Examination of Kolmogorov's 4/5 law by high-resolution direct numerical simulation data of turbulence

Abstract

Keywords

ASJC Scopus subject areas

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