### Abstract

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.

Original language | English |
---|---|

Article number | N11 |

Pages (from-to) | 1-16 |

Number of pages | 16 |

Journal | Journal of Turbulence |

Volume | 12 |

DOIs | |

Publication status | Published - 2011 |

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### Keywords

- Direct numerical simulation
- Homogeneous isotropic turbulence
- Statistical property
- Turbulence structure
- Turbulent channel flow

### ASJC Scopus subject areas

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

### Cite this

*Journal of Turbulence*,

*12*, 1-16. [N11]. https://doi.org/10.1080/14685248.2010.542752

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

Research output: Contribution to journal › Article

*Journal of Turbulence*, vol. 12, N11, pp. 1-16. https://doi.org/10.1080/14685248.2010.542752

}

TY - JOUR

T1 - Statistical properties of the local structure of homogeneous isotropic turbulence and turbulent channel flows

AU - Kobayashi, Hiromichi

AU - Matsumoto, Eiji

AU - Fukushima, Naoya

AU - Tanahashi, Mamoru

AU - Miyauchi, Toshio

PY - 2011

Y1 - 2011

N2 - 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.

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.

KW - Direct numerical simulation

KW - Homogeneous isotropic turbulence

KW - Statistical property

KW - Turbulence structure

KW - Turbulent channel flow

UR - http://www.scopus.com/inward/record.url?scp=83055163420&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=83055163420&partnerID=8YFLogxK

U2 - 10.1080/14685248.2010.542752

DO - 10.1080/14685248.2010.542752

M3 - Article

AN - SCOPUS:83055163420

VL - 12

SP - 1

EP - 16

JO - Journal of Turbulence

JF - Journal of Turbulence

SN - 1468-5248

M1 - N11

ER -