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Prog. Theor. Phys. Vol. 96 No. 6 (1996) pp. 1061-1071

[ Full Text PDF : FREE ACCESS (592K) ]

Reconsideration of a Scaling Theory in Two-Dimensional Decaying Turbulence

Takahiro Iwayama†) and Hisao Okamoto\ddag)

†)Department of Earth and Planetary Sciences, Kyushu University, Fukuoka 812-81
\ddag)Department of Information Science, Kochi University, Kochi 780

(Received September 22, 1995)

Abstract:

A scaling theory proposed by Carnevale et al. (1991) that is valid in the second stage of two-dimensional (2-D) decaying turbulence is reconsidered. It is shown that a quantity considered as the total kinetic energy and treated as a temporal invariant in the theory is not the total kinetic energy but an integral of -ωφ/2 over regions of coherent vortices. Here, ω and φ are the vorticity and the stream function, respectively. By both comparison of the quantity with the Hamiltonian of point vortices and execution of direct numerical simulation of the vorticity equation, the quantity is revealed to be the Hamiltonian of collective system of coherent vortices and a temporal invariant. In addition, scaling of enstrophy is considered from the same discussion as the reinterpretation of the temporal invariant, and discrepancy between theoretical prediction and experimental results in the enstrophy scaling exponent is solved.


URL : http://ptp.ipap.jp/link?PTP/96/1061/
DOI : 10.1143/PTP.96.1061

[ Full Text PDF : FREE ACCESS (592K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 98 No. 6 (1997) pp. 1219-1224 :
    Phenomenological Determination of Scaling Exponents in Two-Dimensional Decaying Turbulence
    Takahiro Iwayama, Hirokazu Fujisaka and Hisao Okamoto

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