### 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 |

### 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

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## 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