Stability of Geostrophic Vortices On a Rotating Sphere
Stability of Geostrophic Vortices On a Rotating Sphere
Carlos a Leiva
The book Stability of Geostrophic Vortices On a Rotating Sphere was written by author Carlos a Leiva Here you can read free online of Stability of Geostrophic Vortices On a Rotating Sphere book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Stability of Geostrophic Vortices On a Rotating Sphere a good or bad book?
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-173- (i) 4 Vortices with Equal Strength y, Equally Spaced on a Circle of Colatitude 9, No Boundary Condition at the Equator . Here we study three cases for the coriolis parameter c = . 7 and one case for the coriolis parameter c = . 5. P P The linear analysis establishes that zero is an eigenvalue of multiplicity two for all values of the parameters. In particular for c = . 1, we find that for 6 _ 49. 6865°. For c = . 5, the configuration studied is in the exponentially ions table region. (a) ...9 = 45°, c = . 7. The configuration is exponentially stable. The experiments were carried out with initial displace- ments eg, , ea, between +1° and + 30°. The results show that all the resulting motions are linear stable motions, even though in some cases, the amplitudes of the resulting oscillations are bounded by 3/2 of the initial disturbance. This is particularly true when the initial displacement is in the longitudinal direction. For initial displacements in the G direction, the circle vortices tend to oscillate about a new position north or south of the equilibrium circle of colatitude depending on the sign of eS-, - This phenomenon has the effect of changing the angular velocity of rotation.
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