## 抄録

The probability density functions (PDFs) of energy dissipation rates created from the whole of the DNS region of the size 4096^{3} (named whl-PDFs) for various sizes of coarse graining areas are analyzed by multifractal PDF theory (MPDFT). Furthermore, other PDFs named max-PDF and min-PDF for various sizes of coarse graining areas, created respectively from the partial DNS regions of the size 512^{3} with maximum and minimum enstrophy, are also analyzed by making use of the whl-PDF. It is shown that there is a whl-PDF with an appropriate size of coarse graining area, whose slope of the tail part can adjust the slope of the tail-part of a max-PDF. On the other hand, there is a whl-PDF whose center part can adjust quite accurately the center part of a min-PDF. Note that the partial DNS region with maximum (minimum) enstrophy is the region of maximally dense (rare) vortexes, and therefore contributes mainly to the tail (center) part of the whl-PDF. It is found that these adjustments are systematic with respect to the sizes of coarse graining areas.

本文言語 | English |
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論文番号 | 012083 |

ジャーナル | Journal of Physics: Conference Series |

巻 | 410 |

号 | 1 |

DOI | |

出版ステータス | Published - 2013 |

外部発表 | はい |

イベント | 1st International Conference on Mathematical Modelling in Physical Sciences, IC-MSQUARE 2012 - Budapest 継続期間: 9月 3 2012 → 9月 7 2012 |

## ASJC Scopus subject areas

- 物理学および天文学（全般）

## フィンガープリント

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