Ea. Novikov, VORTICAL SCALES FOR 2-DIMENSIONAL AND 3-DIMENSIONAL TURBULENCE, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 49(2), 1994, pp. 180000975-180000977
Correlation analysis of two-dimensional (2D) turbulence is performed o
n the basis of the Navier-Stokes equations. It is found that within th
e inertial range of scales (L Re-1/2 much less than r much less than L
; L is the external scale, Re is the Reynolds number) there is a physi
cally distinguished scale l(c) = L Re-1/4-a natural scale for coherent
vortex patches. A hierarchy of vortical scales for 2D and 3D turbulen
ce is found from a co-variance analysis of more detailed spatial struc
ture of the vorticity field.