Physics – Fluid Dynamics
Scientific paper
2012-01-03
Physics
Fluid Dynamics
Scientific paper
The vertical structure of freely evolving, continuously stratified, quasi-geostrophic flow is investigated. We predict the final state organization, and in particular its vertical structure, using statistical mechanics and these predictions are tested against numerical simulations. The key role played by conservation laws in each layer, including the fine-grained enstrophy, is discussed. In general, the conservation laws, and in particular that enstrophy is conserved layer-wise, prevent complete barotropization, i.e., the tendency to reach the gravest vertical mode. The peculiar role of the $\beta$-effect, i.e. of the existence of planetary vorticity gradients, is discussed. In particular, it is shown that increasing $\beta$ increases the tendency toward barotropization through turbulent stirring. The effectiveness of barotropisation may be partly parameterized using the Rhines scale $2\pi E_{0}^{1/4}/\beta^{1/2}$. As this parameter decreases (beta increases) then barotropization can progress further, because the beta term provides enstrophy to each layer.
Griffies Stephen Matthew
Vallis Geoffrey K.
Venaille Antoine
No associations
LandOfFree
The catalytic role of beta effect in barotropization processes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The catalytic role of beta effect in barotropization processes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The catalytic role of beta effect in barotropization processes will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-183942