Stability of axisymmetric motions in a rotating inviscid atmosphere

Details Stability of axisymmetric motions in a rotating inviscid atmosphere Stability of axisymmetric motions in a rotating inviscid atmosphere

Sep 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984mecc...19..188l&link_type=abstract

Meccanica (ISSN 0025-6455), vol. 19, Sept. 1984, p. 188-195. Research supported by the Consiglio Nazionale delle Ricerche.

Computer Science

2

Atmospheric Circulation, Axisymmetric Flow, Flow Stability, Planetary Atmospheres, Planetary Waves, Rotating Fluids, Vorticity Equations, Inviscid Flow, Navier-Stokes Equation, Nonlinear Equations, Oscillating Flow, Spectral Methods, Zonal Flow (Meteorology)

Scientific paper

The set of ordinary differential equations representing the truncation of the spectral-vorticity equation in spherical geometry for two-dimensional, nondivergent motions in a homogeneous inviscid rotating atmosphere is studied. The set of spectral components included represents an arbitrary axisymmetric field of motion (zonal flow) interacting with a couple of nonzonal, wavelike perturbations. The stability of the equilibrium configuration described by purely zonal flow is analyzed by an explicit representation of the linear and nonlinear parameters which characterize the unstable oscillations induced by perturbations of the equilibrium.

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