On the Probability Distribution of Velocity Circulation in Three-Dimensional Turbulence

Abstract

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.

E-mail : [email protected] Text 6 pages + Figure 4 pages UT-F-93-1

Cited by in corpus (11)

• Circulation in high Reynolds number isotropic turbulence is a bifractal
• The area rule for circulation in three-dimensional turbulence
• Intermittency of velocity circulation in quantum turbulence
• Vortex Gas Modeling of Turbulent Circulation Statistics
• Is the Kelvin Theorem Valid for High-Reynolds-Number Turbulence?
• Clustering Analysis of Periodic Point Vortices with the $L$ Function
• Statistics of Extreme Turbulent Circulation Events from Multifractality Breaking
• Eddy-Viscous Modeling and the Topology of Extreme Circulation Events in Three-Dimensional Turbulence
• Circulation in turbulent flow through a contraction
• Towards Field Theory of Turbulence
• Point Process Analysis of Vortices in a Periodic Box