Prog. Theor. Phys. Vol. 65 No. 1 (1981) pp. 120-139
Effects of Large-Scale Fluctuations in Fully Developed Turbulence
Department of Physics, Chuo University, Tokyo 112
*Department of Physics, University of Tokyo, Tokyo 113
(Received June 20, 1980)
Applying a path integral method to turbulence, we have shown that fluctuations at long wavelengths can be treated in such a satisfactory way that the difficulty with those fluctuations met in analytical theories (for example the DIA) is overcome. Those fluctuations are separated into two parts: the quasiuniform part which is represented by a hypothetical, uniform and random flow V and the gradient part in space and time, It is shown that the average over V can be postponed to the last step of calculation. The calculated time-independent quantities such as the energy spectrum are not affected by V, so that the results agree with Kolmogorov's ones. On the other hand, the time-dependent quantities such a the eddy propagator are mainly determined by the average value of V2.
DOI : 10.1143/PTP.65.120
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Citing Article(s) :
Journal of the Physical Society of Japan 61 (1992) pp. 3994-4008
Renormalization Group Treatment of Three-Dimensional Turbulence