Nonlocal vorticity cascade in two dimensions
Abstract
The whole set of simultaneous correlation functions describing steady vorticity cascade is obtained from the Euler equation by a straightforward procedure. Nonlocality of the cascade provides for a large logarithmic parameter that enables one to obtain a universal set of the correlation functions of the vorticity ω in the inertial interval: <ωn(r1)ωn(r2)>~ln2n/3(L/||r1 -r2||), with L being the scale of the external pump.
- Publication:
-
Physical Review E
- Pub Date:
- March 1994
- DOI:
- 10.1103/PhysRevE.49.R1800
- Bibcode:
- 1994PhRvE..49.1800F
- Keywords:
-
- 47.10.+g;
- 47.27.Gs;
- Isotropic turbulence;
- homogeneous turbulence