Study of two elements constituting turbulence by a multifractal theory for probability density functions-Through the analyses of 40963 DNS

T. Arimitsu, N. Arimitsu, K. Takechi, Y. Kaneda, Takashi Ishihara

Research output: Contribution to journalConference article


The probability density functions (PDFs) of energy dissipation rates created from the whole of the DNS region of the size 40963 (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 5123 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.

Original languageEnglish
Article number012083
JournalJournal of Physics: Conference Series
Issue number1
Publication statusPublished - Jan 1 2013
Externally publishedYes
Event1st International Conference on Mathematical Modelling in Physical Sciences, IC-MSQUARE 2012 - Budapest, Hungary
Duration: Sep 3 2012Sep 7 2012


ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this