Multifractal analysis by using high-resolution direct numerical simulation of turbulence

Takashi Ishihara, Hirotaka Higuchi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

Multifractal analysis based on the energy dissipation ε and the enstrophy Ω in isotropic turbulence is made by using high-resolution direct numerical simulation of turbulence with the number of grid points up to 2048 3. The analysis shows that the singularity exponents α and α that characterize the intermittencies associated with ε and Ω, respectively, agree well with each other in the inertial subrange. This result is consistent with logεr and logΩr correlating well with each other for the scale r in the inertial subrange, where the subscript denotes the local average over a cubic domain of size r.

Original languageEnglish
Title of host publicationIUTAM Symposium on Computational Physics and New Perspectives in Turbulence - Proceedings of the IUTAM Symposium on Computational Physics and New Perspectives in Turbulence
Pages61-66
Number of pages6
DOIs
Publication statusPublished - Dec 1 2008
Externally publishedYes
EventIUTAM Symposium on Computational Physics and New Perspectives in Turbulence - Nagoya, Japan
Duration: Sep 11 2006Sep 14 2006

Publication series

NameSolid Mechanics and its Applications
Volume4
ISSN (Print)1875-3507

Other

OtherIUTAM Symposium on Computational Physics and New Perspectives in Turbulence
CountryJapan
CityNagoya
Period9/11/069/14/06

Fingerprint

isotropic turbulence
Direct numerical simulation
direct numerical simulation
vorticity
Turbulence
energy dissipation
turbulence
grids
exponents
high resolution
Energy dissipation

Keywords

  • Highresolution DNS
  • Intermittency
  • Isotropic turbulence
  • Multifractal analysis

ASJC Scopus subject areas

  • Aerospace Engineering
  • Automotive Engineering
  • Civil and Structural Engineering
  • Mechanical Engineering
  • Acoustics and Ultrasonics

Cite this

Ishihara, T., & Higuchi, H. (2008). Multifractal analysis by using high-resolution direct numerical simulation of turbulence. In IUTAM Symposium on Computational Physics and New Perspectives in Turbulence - Proceedings of the IUTAM Symposium on Computational Physics and New Perspectives in Turbulence (pp. 61-66). (Solid Mechanics and its Applications; Vol. 4). https://doi.org/10.1007/978-1-4020-6472-2_9

Multifractal analysis by using high-resolution direct numerical simulation of turbulence. / Ishihara, Takashi; Higuchi, Hirotaka.

IUTAM Symposium on Computational Physics and New Perspectives in Turbulence - Proceedings of the IUTAM Symposium on Computational Physics and New Perspectives in Turbulence. 2008. p. 61-66 (Solid Mechanics and its Applications; Vol. 4).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Ishihara, T & Higuchi, H 2008, Multifractal analysis by using high-resolution direct numerical simulation of turbulence. in IUTAM Symposium on Computational Physics and New Perspectives in Turbulence - Proceedings of the IUTAM Symposium on Computational Physics and New Perspectives in Turbulence. Solid Mechanics and its Applications, vol. 4, pp. 61-66, IUTAM Symposium on Computational Physics and New Perspectives in Turbulence, Nagoya, Japan, 9/11/06. https://doi.org/10.1007/978-1-4020-6472-2_9
Ishihara T, Higuchi H. Multifractal analysis by using high-resolution direct numerical simulation of turbulence. In IUTAM Symposium on Computational Physics and New Perspectives in Turbulence - Proceedings of the IUTAM Symposium on Computational Physics and New Perspectives in Turbulence. 2008. p. 61-66. (Solid Mechanics and its Applications). https://doi.org/10.1007/978-1-4020-6472-2_9
Ishihara, Takashi ; Higuchi, Hirotaka. / Multifractal analysis by using high-resolution direct numerical simulation of turbulence. IUTAM Symposium on Computational Physics and New Perspectives in Turbulence - Proceedings of the IUTAM Symposium on Computational Physics and New Perspectives in Turbulence. 2008. pp. 61-66 (Solid Mechanics and its Applications).
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