Statistical properties of the local structure of homogeneous isotropic turbulence and turbulent channel flows

Hiromichi Kobayashi, Eiji Matsumoto, Naoya Fukushima, Mamoru Tanahashi, Toshio Miyauchi

研究成果: Article

1 引用 (Scopus)

抄録

Statistical properties of the local structure are investigated using the data of direct numerical simulation of homogeneous isotropic turbulence for Reλ = 60.1 ~ 287.6 and turbulent channel flows for Reτ = 180, 400, 800, and 1270. The dimensionless second invariant is used as the representative local structure, and is defined as the second invariant of a velocity gradient tensor normalized by the magnitude of the velocity gradient tensor. In homogeneous isotropic turbulence, the probability density function (pdf) profiles of the dimensionless second invariant show good agreement for different values of Reynolds number. The volume fraction, the average, and the variance of the dimensionless second invariant converge to certain values at high Reynolds number, respectively. For the turbulent channel flows, the pdf profiles of the dimensionless second invariant for different values of Reynolds number coincide very well for the distance from the wall in wall units. The probability density and the volume fraction of the dimensionless second invariant at the center of the channel are in good agreement with those of homogeneous isotropic turbulence.

元の言語English
記事番号N11
ページ(範囲)1-16
ページ数16
ジャーナルJournal of Turbulence
12
DOI
出版物ステータスPublished - 2011

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homogeneous turbulence
isotropic turbulence
channel flow
Channel flow
Reynolds number
Turbulence
probability density functions
Probability density function
Tensors
Volume fraction
tensors
gradients
high Reynolds number
Direct numerical simulation
profiles
direct numerical simulation

ASJC Scopus subject areas

  • Mechanics of Materials
  • Computational Mechanics
  • Physics and Astronomy(all)
  • Condensed Matter Physics

これを引用

Statistical properties of the local structure of homogeneous isotropic turbulence and turbulent channel flows. / Kobayashi, Hiromichi; Matsumoto, Eiji; Fukushima, Naoya; Tanahashi, Mamoru; Miyauchi, Toshio.

:: Journal of Turbulence, 巻 12, N11, 2011, p. 1-16.

研究成果: Article

Kobayashi, Hiromichi ; Matsumoto, Eiji ; Fukushima, Naoya ; Tanahashi, Mamoru ; Miyauchi, Toshio. / Statistical properties of the local structure of homogeneous isotropic turbulence and turbulent channel flows. :: Journal of Turbulence. 2011 ; 巻 12. pp. 1-16.
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AU - Miyauchi, Toshio

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AB - Statistical properties of the local structure are investigated using the data of direct numerical simulation of homogeneous isotropic turbulence for Reλ = 60.1 ~ 287.6 and turbulent channel flows for Reτ = 180, 400, 800, and 1270. The dimensionless second invariant is used as the representative local structure, and is defined as the second invariant of a velocity gradient tensor normalized by the magnitude of the velocity gradient tensor. In homogeneous isotropic turbulence, the probability density function (pdf) profiles of the dimensionless second invariant show good agreement for different values of Reynolds number. The volume fraction, the average, and the variance of the dimensionless second invariant converge to certain values at high Reynolds number, respectively. For the turbulent channel flows, the pdf profiles of the dimensionless second invariant for different values of Reynolds number coincide very well for the distance from the wall in wall units. The probability density and the volume fraction of the dimensionless second invariant at the center of the channel are in good agreement with those of homogeneous isotropic turbulence.

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