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

N1 - Copyright:
Copyright 2005 Elsevier B.V., All rights reserved.

PY - 2005/12

Y1 - 2005/12

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

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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 -