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Estimation of turbulence-development by a multifractal theory

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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 4096^3 DNS turbulence [2] by means of MPDFT reveal that the turbulence with R_lambda=675 is in the fully developed turbulent state, but that the one with R_lambda=1132 is not fully developed yet. The degree of turbulence-development of the latter is estimated.

Author(s):

Toshihico Arimitsu    
University of Tsukuba
Japan

Naoko Arimitsu    
Yokohama National University
Japan

Kohei Takechi    
University of Tsukuba
Japan

Yukio Kaneda    
Aichi Institute of Technology
Japan

Takashi Ishihara    
Nagoya University
Japan