### Abstract

The spectra of the squares of velocity quadratics including the energy dissipation rate ε per unit mass, the enstrophy ω^{2} and the pressure p were measured using the data obtained from direct numerical simulations (DNSs) of incompressible turbulence in a periodic box with number of grid points up to 2048^{3}. These simulations were performed using the Earth Simulator computing system. The spectra for ε, ω^{2} and p exhibited a wave number range in which the spectra scaled with the wave number k as ∝^{-a}. Exponent a for p was about 1.81, which is in good agreement with the value obtained by assuming the joint probability distribution of the velocity field to be Gaussian, while a values for ε and ω^{2} were about 2/3, and very different from the Gaussian approximation values.

Original language | English |
---|---|

Pages (from-to) | 983-986 |

Number of pages | 4 |

Journal | Journal of the Physical Society of Japan |

Volume | 72 |

Issue number | 5 |

DOIs | |

Publication status | Published - May 1 2003 |

Externally published | Yes |

### Fingerprint

### Keywords

- Energy dissipation rate
- Enstrophy
- High-resolution DNS
- Pressure
- Spectrum

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Journal of the Physical Society of Japan*,

*72*(5), 983-986. https://doi.org/10.1143/JPSJ.72.983

**Spectra of energy dissipation, enstrophy and pressure by high-resolution direct numerical simulations of turbulence in a periodic box.** / Ishihara, Takashi; Kaneda, Yukio; Yokokawa, Mitsuo; Itakura, Ken'ichi; Uno, Atsuya.

Research output: Contribution to journal › Article

*Journal of the Physical Society of Japan*, vol. 72, no. 5, pp. 983-986. https://doi.org/10.1143/JPSJ.72.983

}

TY - JOUR

T1 - Spectra of energy dissipation, enstrophy and pressure by high-resolution direct numerical simulations of turbulence in a periodic box

AU - Ishihara, Takashi

AU - Kaneda, Yukio

AU - Yokokawa, Mitsuo

AU - Itakura, Ken'ichi

AU - Uno, Atsuya

PY - 2003/5/1

Y1 - 2003/5/1

N2 - The spectra of the squares of velocity quadratics including the energy dissipation rate ε per unit mass, the enstrophy ω2 and the pressure p were measured using the data obtained from direct numerical simulations (DNSs) of incompressible turbulence in a periodic box with number of grid points up to 20483. These simulations were performed using the Earth Simulator computing system. The spectra for ε, ω2 and p exhibited a wave number range in which the spectra scaled with the wave number k as ∝-a. Exponent a for p was about 1.81, which is in good agreement with the value obtained by assuming the joint probability distribution of the velocity field to be Gaussian, while a values for ε and ω2 were about 2/3, and very different from the Gaussian approximation values.

AB - The spectra of the squares of velocity quadratics including the energy dissipation rate ε per unit mass, the enstrophy ω2 and the pressure p were measured using the data obtained from direct numerical simulations (DNSs) of incompressible turbulence in a periodic box with number of grid points up to 20483. These simulations were performed using the Earth Simulator computing system. The spectra for ε, ω2 and p exhibited a wave number range in which the spectra scaled with the wave number k as ∝-a. Exponent a for p was about 1.81, which is in good agreement with the value obtained by assuming the joint probability distribution of the velocity field to be Gaussian, while a values for ε and ω2 were about 2/3, and very different from the Gaussian approximation values.

KW - Energy dissipation rate

KW - Enstrophy

KW - High-resolution DNS

KW - Pressure

KW - Spectrum

UR - http://www.scopus.com/inward/record.url?scp=0038201034&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0038201034&partnerID=8YFLogxK

U2 - 10.1143/JPSJ.72.983

DO - 10.1143/JPSJ.72.983

M3 - Article

AN - SCOPUS:0038201034

VL - 72

SP - 983

EP - 986

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 5

ER -