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Prog. Theor. Phys. Vol. 79 No. 3 (1988) pp. 569-580

[ Full Text PDF : FREE ACCESS (678K) ]

Determination of a Dynamical Scaling Function in a Cascade Model of Turbulence

Tohru Nakano

Department of Physics, Chuo University, Tokyo 112

(Received August 6, 1987)

Abstract:

A dynamical scaling function in a cascade model of turbulence is numerically determined. It indicates that there are two time domains in the scaling function. In the first domain fluctuations supplied to the low wavenumber region are transferred to the higher wavenumber region without any significant effect from the molecular viscosity. The scaling is not the Kolmogorov type, but the intermittent one. After reaching a certain maximum wavenumber, the turbulence enters the second domain, where the fluctuations decay due to the viscosity and obey the Kolmogorov scaling. It is, then, derived that the lower order structure functions obey the Kolmogorov scaling, while the higher order ones show the intermittent scaling. Finally, the present model is discussed in relation to the structures in a turbulent flow.


URL : http://ptp.ipap.jp/link?PTP/79/569/
DOI : 10.1143/PTP.79.569

[ Full Text PDF : FREE ACCESS (678K) ] Citation:

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Citing Article(s) :

  1. Journal of the Physical Society of Japan 68 (1999) pp. 86-96 :
    Probability Density Function of Longitudinal Velocity Increment in Homogeneous Turbulence
    Naoya Takahashi, Tsutomu Kambe, Tohru Nakano, Toshiyuki Gotoh and Kiyoshi Yamamoto

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