### Abstract

A review is presented on some attempts to understand turbulence by using high-performance computing (HPC). Among them is the study of turbulence by the direct numerical simulation (DNS) of incompressible turbulence in a periodic box with the number of grid points up to 40963. The DNS data shed some light on the Reynolds number (Re)-dependence of the statistics of turbulence at high Re and on the intermittency of energy dissipation. HPC is shown to be useful also for solving a multidimensional singular partial differential equation that determines the anomalous scaling of a passive scalar field advected by a random velocity field with an infinitely small correlation time.

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 | 49-54 |

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

- Anomalous scaling
- Computational approach
- DNS of turbulence
- Intermittency of energy dissipation
- Passive scalar

### ASJC Scopus subject areas

- Materials Science(all)
- Mechanics of Materials
- Mechanical Engineering

### 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. 49-54). (Solid Mechanics and its Applications; Vol. 4). https://doi.org/10.1007/978-1-4020-6472-2_7

**Attempts at computer-aided understanding of turbulence.** / Kaneda, Yukio; Ishihara, Takashi; Morishita, Koji; Mizuno, Yoshinori.

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. 49-54, 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_7

}

TY - GEN

T1 - Attempts at computer-aided understanding of turbulence

AU - Kaneda, Yukio

AU - Ishihara, Takashi

AU - Morishita, Koji

AU - Mizuno, Yoshinori

PY - 2008/12/1

Y1 - 2008/12/1

N2 - A review is presented on some attempts to understand turbulence by using high-performance computing (HPC). Among them is the study of turbulence by the direct numerical simulation (DNS) of incompressible turbulence in a periodic box with the number of grid points up to 40963. The DNS data shed some light on the Reynolds number (Re)-dependence of the statistics of turbulence at high Re and on the intermittency of energy dissipation. HPC is shown to be useful also for solving a multidimensional singular partial differential equation that determines the anomalous scaling of a passive scalar field advected by a random velocity field with an infinitely small correlation time.

AB - A review is presented on some attempts to understand turbulence by using high-performance computing (HPC). Among them is the study of turbulence by the direct numerical simulation (DNS) of incompressible turbulence in a periodic box with the number of grid points up to 40963. The DNS data shed some light on the Reynolds number (Re)-dependence of the statistics of turbulence at high Re and on the intermittency of energy dissipation. HPC is shown to be useful also for solving a multidimensional singular partial differential equation that determines the anomalous scaling of a passive scalar field advected by a random velocity field with an infinitely small correlation time.

KW - Anomalous scaling

KW - Computational approach

KW - DNS of turbulence

KW - Intermittency of energy dissipation

KW - Passive scalar

UR - http://www.scopus.com/inward/record.url?scp=84861154018&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84861154018&partnerID=8YFLogxK

U2 - 10.1007/978-1-4020-6472-2_7

DO - 10.1007/978-1-4020-6472-2_7

M3 - Conference contribution

AN - SCOPUS:84861154018

SN - 9781402064715

T3 - Solid Mechanics and its Applications

SP - 49

EP - 54

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 -