Estimation of turbulence-development by a multifractal theory

Toshihico Arimitsu, Naoko Arimitsu, Kohei Takechi, Yukio Kaneda, Takashi Ishihara

Research output: Contribution to conferencePaper


It is shown for the first time how the degree of development in turbulence, i.e., if it is fully developed or if not how much developed, can be estimated by the multifractal theory called multifractal probability density function theory (MPDFT) [1]. Precise and self-consistent analyses of 40963 DNS turbulence [2] by means of MPDFT reveal that the turbulence with Rλ = 675 is in the fully developed turbulent state, but that the one with Rλ = 1132 is not fully developed yet. The degree of turbulence-development of the latter is estimated.

Original languageEnglish
Publication statusPublished - Jan 1 2020
Event14th European Turbulence Conference, ETC 2013 - Lyon, France
Duration: Sep 1 2013Sep 4 2013


Conference14th European Turbulence Conference, ETC 2013


ASJC Scopus subject areas

  • Acoustics and Ultrasonics
  • Astronomy and Astrophysics
  • Atmospheric Science
  • Geophysics

Cite this

Arimitsu, T., Arimitsu, N., Takechi, K., Kaneda, Y., & Ishihara, T. (2020). Estimation of turbulence-development by a multifractal theory. Paper presented at 14th European Turbulence Conference, ETC 2013, Lyon, France.