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- Title
A note on the stability of inviscid zonal jet flows on a rotating sphere.
- Authors
Sasaki, Eiichi; Takehiro, Shin-ichi; Yamada, Michio
- Abstract
The linear stability of inviscid zonal jet flows on a rotating sphere is re-examined. A semi-circle theorem for inviscid zonal flows on a rotating sphere is proved. It is also shown that numerically obtained eigenvalues of the linear stability problem do not converge well with a spectral method which was adopted in previous studies, due to an emergence of critical layers near the poles. By using a shooting method where the integral path bypasses the critical layers in the complex plane, the eigenvalues are successfully obtained with ${\ensuremath{\sim} }10\hspace{0.167em} \% $ correction of the critical rotation rates compared to those obtained in Baines (J. Fluid Mech., vol. 73, 1976, pp. 193–213).
- Subjects
JETS (Fluid dynamics); HYDRODYNAMICS; EIGENVALUES; BAROTROPY; LINEAR statistical models
- Publication
Journal of Fluid Mechanics, 2012, Vol 710, p154
- ISSN
0022-1120
- Publication type
Article
- DOI
10.1017/jfm.2012.356