Instability of Planetary Flows using Riemann Curvature: a Numerical Study
Blender, Richard
Original · EN
The instability of ideal non-divergent zonal flows on the sphere is determined numerically by the instability criterion of Arnol'd (1966) for the sectional curvature. Zonal flows are unstable for all perturbations besides for a small set which are in approximate resonance. The sectional curvature scales with m/ℓ for large total and zonal wave numbers ℓ and m of the perturbations. The planetary rotation is stable and the presence of rotation reduces the instability of perturbations.
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