Energy spectrum in high-resolution direct numerical simulations of turbulence

Takashi Ishihara, Koji Morishita, Mitsuo Yokokawa, Atsuya Uno, Yukio Kaneda

Research output: Contribution to journalArticle

25 Citations (Scopus)

Abstract

A study is made about the energy spectrum E(k) of turbulence on the basis of high-resolution direct numerical simulations (DNSs) of forced incompressible turbulence in a periodic box using a Fourier spectral method with the number of grid points and the Taylor scale Reynolds number Rλ up to 122883 and approximately 2300, respectively. The DNS data show that there is a wave-number range (approximately 5×10-3<kη<2×10-2) in which E(k) fits approximately well to Kolmogorov's k-5/3 scaling, where η is the Kolmogorov length scale. However, a close inspection shows that the exponent is a little smaller than-5/3, and E(k) in the range fits to E(k)/[(ϵ)2/3k-5/3]=c(kL)m, where (ϵ) is the mean energy dissipation rate per unit mass; L is the integral length scale; and m≈-0.12. The coefficient c is independent of k, but has a Rλ dependence, such as c=CRλζ, where C≈0.9 and ζ≈0.14.

Original languageEnglish
Article number082403
JournalPhysical Review Fluids
Volume1
Issue number8
DOIs
Publication statusPublished - Dec 1 2016
Externally publishedYes

Fingerprint

Direct numerical simulation
Energy Spectrum
Length Scale
Turbulence
High Resolution
Fourier Method
Energy Dissipation
Spectral Methods
Range of data
Reynolds number
Inspection
Energy dissipation
Exponent
Scaling
Grid
Unit
Coefficient
Direct numerical Simulation

ASJC Scopus subject areas

  • Computational Mechanics
  • Modelling and Simulation
  • Fluid Flow and Transfer Processes

Cite this

Energy spectrum in high-resolution direct numerical simulations of turbulence. / Ishihara, Takashi; Morishita, Koji; Yokokawa, Mitsuo; Uno, Atsuya; Kaneda, Yukio.

In: Physical Review Fluids, Vol. 1, No. 8, 082403, 01.12.2016.

Research output: Contribution to journalArticle

Ishihara, Takashi ; Morishita, Koji ; Yokokawa, Mitsuo ; Uno, Atsuya ; Kaneda, Yukio. / Energy spectrum in high-resolution direct numerical simulations of turbulence. In: Physical Review Fluids. 2016 ; Vol. 1, No. 8.
@article{f4cfb657a8944baa94662c08321bcb36,
title = "Energy spectrum in high-resolution direct numerical simulations of turbulence",
abstract = "A study is made about the energy spectrum E(k) of turbulence on the basis of high-resolution direct numerical simulations (DNSs) of forced incompressible turbulence in a periodic box using a Fourier spectral method with the number of grid points and the Taylor scale Reynolds number Rλ up to 122883 and approximately 2300, respectively. The DNS data show that there is a wave-number range (approximately 5×10-3",
author = "Takashi Ishihara and Koji Morishita and Mitsuo Yokokawa and Atsuya Uno and Yukio Kaneda",
year = "2016",
month = "12",
day = "1",
doi = "10.1103/PhysRevFluids.1.082403",
language = "English",
volume = "1",
journal = "Physical Review Fluids",
issn = "2469-990X",
publisher = "American Physical Society",
number = "8",

}

TY - JOUR

T1 - Energy spectrum in high-resolution direct numerical simulations of turbulence

AU - Ishihara, Takashi

AU - Morishita, Koji

AU - Yokokawa, Mitsuo

AU - Uno, Atsuya

AU - Kaneda, Yukio

PY - 2016/12/1

Y1 - 2016/12/1

N2 - A study is made about the energy spectrum E(k) of turbulence on the basis of high-resolution direct numerical simulations (DNSs) of forced incompressible turbulence in a periodic box using a Fourier spectral method with the number of grid points and the Taylor scale Reynolds number Rλ up to 122883 and approximately 2300, respectively. The DNS data show that there is a wave-number range (approximately 5×10-3

AB - A study is made about the energy spectrum E(k) of turbulence on the basis of high-resolution direct numerical simulations (DNSs) of forced incompressible turbulence in a periodic box using a Fourier spectral method with the number of grid points and the Taylor scale Reynolds number Rλ up to 122883 and approximately 2300, respectively. The DNS data show that there is a wave-number range (approximately 5×10-3

UR - http://www.scopus.com/inward/record.url?scp=85018426162&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85018426162&partnerID=8YFLogxK

U2 - 10.1103/PhysRevFluids.1.082403

DO - 10.1103/PhysRevFluids.1.082403

M3 - Article

AN - SCOPUS:85018426162

VL - 1

JO - Physical Review Fluids

JF - Physical Review Fluids

SN - 2469-990X

IS - 8

M1 - 082403

ER -