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Scalings of scalar structure functions in a velocity field with coherent vortical structures
1Department of Applied Mathematics and Theoretical Physics, Silver Street, University of Cambridge, Cambridge CB3 9EW, United Kingdom.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|January 22, 2002
Abstract:
In planar turbulence modeled as an isotropic and homogeneous collection of two-dimensional noninteracting compact vortices, the structure functions S(p)(r) of a statistically stationary passive scalar field have the following scaling behavior in the limit where the Péclet number Pe-->infinity: S(p)(r) approximately const+ln(r/L Pe(-1/3)) for L Pe(-1/3)<