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

Takashi Ishihara; Hirotaka Higuchi

doi:10.1007/978-1-4020-6472-2_9

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

Takashi Ishihara, Hirotaka Higuchi

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English
Title of host publication	IUTAM Symposium on Computational Physics and New Perspectives in Turbulence - Proceedings of the IUTAM Symposium on Computational Physics and New Perspectives in Turbulence
Pages	61-66
Number of pages	6
DOIs	https://doi.org/10.1007/978-1-4020-6472-2_9
Publication status	Published - Dec 1 2008
Externally published	Yes
Event	IUTAM Symposium on Computational Physics and New Perspectives in Turbulence - Nagoya, Japan Duration: Sep 11 2006 → Sep 14 2006

Publication series

Name	Solid Mechanics and its Applications
Volume	4
ISSN (Print)	1875-3507

Other

Other	IUTAM Symposium on Computational Physics and New Perspectives in Turbulence
Country/Territory	Japan
City	Nagoya
Period	9/11/06 → 9/14/06

Keywords

Highresolution DNS
Intermittency
Isotropic turbulence
Multifractal analysis

ASJC Scopus subject areas

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

Access to Document

10.1007/978-1-4020-6472-2_9

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 proceeding › Conference 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

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

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Keywords

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