Self-similarity of vorticity dynamics in decaying CHM turbulence
Abstract
In decaying 2D Navier-Stokes turbulence, Batchelor's similarity hypothesis fails due to the existence of coherent vortices. However, it is shown that decaying 2D turbulence governed by the Charney-Hasegawa-Mima (CHM) equation is well described by Batchelor's similarity hypothesis for length scales much greater than the Rossby deformation radius, suggesting that vortices in this regime are not really coherent. A theory for the self-similarity of energy and enstrophy spectral fluxes is also presented. It is argued that the possibility of complete self-similarity depends on the choice of dissipation operators.
- Publication:
-
EGS - AGU - EUG Joint Assembly
- Pub Date:
- April 2003
- Bibcode:
- 2003EAEJA.....4642S