### 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 |
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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