### Abstract

The statistics of energy transfer is studied by using the data of a series of high-resolution direct numerical simulations of incompressible homogeneous turbulence in a periodic box with the Taylor micro-scale Reynolds number R _{λ} and grid points up to approximately 1130 and 4096 ^{3}, respectively. The data show that the energy transfer T across the wave number k is highly intermittent and the skewness S and flatness F of T increase with k approximately as S α (kL)^{αS} , F α (kL)^{αF} in the inertial subrange, where α_{S} ∼ 2/3, α_{F} ∼ 1 and L the characteristic length scale of energy containing eddies. The comparison between the statistics of T, the energy dissipation rate ε and its average ε_{r} over a domain of scale r shows that T is less intermittent than ε, while there is a certain similarity between the probability distribution functions of T and ε_{r}.

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

Pages (from-to) | 3202-3212 |

Number of pages | 11 |

Journal | Journal of the Physical Society of Japan |

Volume | 74 |

Issue number | 12 |

DOIs | |

Publication status | Published - Dec 1 2005 |

Externally published | Yes |

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### Keywords

- Direct numerical simulation
- High-Reynolds-number turbulence
- Homogeneous isotropic turbulence

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Journal of the Physical Society of Japan*,

*74*(12), 3202-3212. https://doi.org/10.1143/JPSJ.74.3202

**Statistics of energy transfer in high-resolution direct numerical simulation of turbulence in a periodic box.** / Aoyama, Tomohiro; Ishihara, Takashi; Kaneda, Yukio; Yokokawa, Mitsuo; Itakura, Ken'ichi; Uno, Atsuya.

Research output: Contribution to journal › Article

*Journal of the Physical Society of Japan*, vol. 74, no. 12, pp. 3202-3212. https://doi.org/10.1143/JPSJ.74.3202

}

TY - JOUR

T1 - Statistics of energy transfer in high-resolution direct numerical simulation of turbulence in a periodic box

AU - Aoyama, Tomohiro

AU - Ishihara, Takashi

AU - Kaneda, Yukio

AU - Yokokawa, Mitsuo

AU - Itakura, Ken'ichi

AU - Uno, Atsuya

PY - 2005/12/1

Y1 - 2005/12/1

N2 - The statistics of energy transfer is studied by using the data of a series of high-resolution direct numerical simulations of incompressible homogeneous turbulence in a periodic box with the Taylor micro-scale Reynolds number R λ and grid points up to approximately 1130 and 4096 3, respectively. The data show that the energy transfer T across the wave number k is highly intermittent and the skewness S and flatness F of T increase with k approximately as S α (kL)αS , F α (kL)αF in the inertial subrange, where αS ∼ 2/3, αF ∼ 1 and L the characteristic length scale of energy containing eddies. The comparison between the statistics of T, the energy dissipation rate ε and its average εr over a domain of scale r shows that T is less intermittent than ε, while there is a certain similarity between the probability distribution functions of T and εr.

AB - The statistics of energy transfer is studied by using the data of a series of high-resolution direct numerical simulations of incompressible homogeneous turbulence in a periodic box with the Taylor micro-scale Reynolds number R λ and grid points up to approximately 1130 and 4096 3, respectively. The data show that the energy transfer T across the wave number k is highly intermittent and the skewness S and flatness F of T increase with k approximately as S α (kL)αS , F α (kL)αF in the inertial subrange, where αS ∼ 2/3, αF ∼ 1 and L the characteristic length scale of energy containing eddies. The comparison between the statistics of T, the energy dissipation rate ε and its average εr over a domain of scale r shows that T is less intermittent than ε, while there is a certain similarity between the probability distribution functions of T and εr.

KW - Direct numerical simulation

KW - High-Reynolds-number turbulence

KW - Homogeneous isotropic turbulence

UR - http://www.scopus.com/inward/record.url?scp=29144503713&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=29144503713&partnerID=8YFLogxK

U2 - 10.1143/JPSJ.74.3202

DO - 10.1143/JPSJ.74.3202

M3 - Article

AN - SCOPUS:29144503713

VL - 74

SP - 3202

EP - 3212

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 12

ER -