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

Tomohiro Aoyama, Takashi Ishihara, Yukio Kaneda, Mitsuo Yokokawa, Ken'ichi Itakura, Atsuya Uno

Research output: Contribution to journalArticle

33 Citations (Scopus)

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 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.

Original languageEnglish
Pages (from-to)3202-3212
Number of pages11
JournalJournal of the Physical Society of Japan
Volume74
Issue number12
DOIs
Publication statusPublished - Dec 1 2005
Externally publishedYes

Fingerprint

direct numerical simulation
boxes
turbulence
energy transfer
statistics
high resolution
homogeneous turbulence
skewness
probability distribution functions
flatness
Reynolds number
energy dissipation
grids
vortices
energy

Keywords

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

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

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.

In: Journal of the Physical Society of Japan, Vol. 74, No. 12, 01.12.2005, p. 3202-3212.

Research output: Contribution to journalArticle

Aoyama, Tomohiro ; Ishihara, Takashi ; Kaneda, Yukio ; Yokokawa, Mitsuo ; Itakura, Ken'ichi ; Uno, Atsuya. / Statistics of energy transfer in high-resolution direct numerical simulation of turbulence in a periodic box. In: Journal of the Physical Society of Japan. 2005 ; Vol. 74, No. 12. pp. 3202-3212.
@article{c84d7813db9a483e81717e8175252c15,
title = "Statistics of energy transfer in high-resolution direct numerical simulation of turbulence in a periodic box",
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 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.",
keywords = "Direct numerical simulation, High-Reynolds-number turbulence, Homogeneous isotropic turbulence",
author = "Tomohiro Aoyama and Takashi Ishihara and Yukio Kaneda and Mitsuo Yokokawa and Ken'ichi Itakura and Atsuya Uno",
year = "2005",
month = "12",
day = "1",
doi = "10.1143/JPSJ.74.3202",
language = "English",
volume = "74",
pages = "3202--3212",
journal = "Journal of the Physical Society of Japan",
issn = "0031-9015",
publisher = "Physical Society of Japan",
number = "12",

}

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 -