Physics – Fluid Dynamics
Scientific paper
Apr 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984gapfd..28..243a&link_type=abstract
Geophysical and Astrophysical Fluid Dynamics, vol. 28, Issue 3, pp.243-256
Physics
Fluid Dynamics
45
Scientific paper
It is shown that flows satisfying Blumen's (1968) quasigeostrophic, baroclinic generalisation of Arnol'd's (1965) sufficient condition for stability must be zonally-symmetric if the boundary conditions are zonally-symmetric. A similar restriction applies to the criteria established by Benzi et al. (1982) for equivalent-barotropic flow. An example is given of a topographically-forced nonzonal flow satisfying Blumen's sufficient conditions for stability; at large distances from the topographic centre this becomes purely zonal and westward. It is demonstrated that all flows satisfying the Arnol'd's-Blumen criteria are pseudo-westward" in the sense that the potential vorticity increases to the right of the geostrophic velocity.
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