### 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 |
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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 |

### Keywords

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

### ASJC Scopus subject areas

- Physics and Astronomy(all)

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## Cite this

*journal of the physical society of japan*,

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