Universal Distribution of Centers and Saddles in Two-Dimensional Turbulence

Details Universal Distribution of Centers and Saddles in Two-Dimensional Turbulence Universal Distribution of Centers and Saddles in Two-Dimensional Turbulence

2000-12-20

arxiv.org/abs/physics/0012051v1

Physics

Fluid Dynamics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.87.044501

The statistical properties of the local topology of two-dimensional turbulence are investigated using an electromagnetically forced soap film. The local topology of the incompressible 2D flow is characterized by the Jacobian determinant \Lambda(x,y) = (\omega^2 - \sigma^2)/4, where \omega (x,y) is the local vorticity and \sigma (x,y) is the local strain rate. For turbulent flows driven by different external force configurations, P(\Lambda) is found to be a universal function when rescaled using the turbulent intensity. A simple model that agrees with the measured functional form of P(\Lambda) is constructed using the assumption that the stream function, \psi(x,y), is a Gaussian random field.

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