Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-07-23
Physics
High Energy Physics
High Energy Physics - Theory
E-mail : umeki@tansei.cc.u-tokyo.ac.jp Text 6 pages + Figure 4 pages UT-F-93-1
Scientific paper
10.1143/JPSJ.62.3788
The probability distribution functions of the circulation of velocity in three-dimensional decaying isotropic turbulence are examined by the database of the numerical simulation based on the pseudospectral method. It is shown that the standard deviation increases nearly as $A^{2/3}$ where $A$ is the area of the loop. The PDFs change from exponential to gaussian as the size becomes large. The former agrees well with the prediction by Migdal (1993), although the latter does not match. A modification is proposed to explain the gaussian distribution with the $A^{2/3}$ dependence.
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