Wavevortex dynamics in drift and βplane turbulence
Abstract
For the theory of drift plasma and βplane geophysical dynamics both largescale vortex and smallscale wave components are important: linear excitation and dissipation occur mainly at small scales, while concentration of the energy spectrum takes place (through the inverse cascade) at large vortices. Based on the time and space separation of these scales averaged evolution equations are derived. The equation for the small scales describes the propagation of highfrequency quanta on the background of a flow produced by largescale vortices; this equation provides the conservation of the spectral density of the potential enstrophy of small scales. The equation for the largescale component is the CharneyHasegawaMima equation with a source term having the form of the ponderomotive force and providing the inverse energy cascade from small to large scales. A new computational approach for the modeling of drift and βplane turbulence is proposed on the basis of the equations obtained  the quantum in the cell method.
 Publication:

Physics Letters A
 Pub Date:
 May 1992
 DOI:
 10.1016/03759601(92)90503E
 Bibcode:
 1992PhLA..165..330D