### 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 |
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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 | |

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 |
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Volume | 4 |

ISSN (Print) | 1875-3507 |

### Other

Other | IUTAM Symposium on Computational Physics and New Perspectives in Turbulence |
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Country | Japan |

City | Nagoya |

Period | 9/11/06 → 9/14/06 |

### Fingerprint

### 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

*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.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*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

}

TY - GEN

T1 - Multifractal analysis by using high-resolution direct numerical simulation of turbulence

AU - Ishihara, Takashi

AU - Higuchi, Hirotaka

PY - 2008/12/1

Y1 - 2008/12/1

N2 - 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.

AB - 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.

KW - Highresolution DNS

KW - Intermittency

KW - Isotropic turbulence

KW - Multifractal analysis

UR - http://www.scopus.com/inward/record.url?scp=84861110545&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84861110545&partnerID=8YFLogxK

U2 - 10.1007/978-1-4020-6472-2_9

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

M3 - Conference contribution

AN - SCOPUS:84861110545

SN - 9781402064715

T3 - Solid Mechanics and its Applications

SP - 61

EP - 66

BT - IUTAM Symposium on Computational Physics and New Perspectives in Turbulence - Proceedings of the IUTAM Symposium on Computational Physics and New Perspectives in Turbulence

ER -