A note on the stability of inviscid zonal jet flows on a rotating sphere
A note on the stability of inviscid zonal jet flows on a rotating sphere
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关于旋转球体上无粘性纬向射流稳定性的注解
DOI：
10.1017/jfm.2012.356
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
S.Takehiro and M.Yamada
中科院分区：
文献类型：
--
作者：
E.Sasaki;S.Takehiro and M.Yamada
本文重新研究了旋转球上无粘纬向射流的线性稳定性。证明了旋转球上无粘带状流的一个半圆定理。它还表明，数值获得的线性稳定性问题的特征值不收敛以及与谱方法，这是通过在以前的研究中，由于出现的临界层附近的极点。通过使用其中积分路径绕过复平面中的临界层的射击方法，与Baines（J. Fluid Mech.，第73卷，1976年，第73页。193-213）。
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 correction of the critical rotation rates compared to those obtained in Baines (J. Fluid Mech., vol. 73, 1976, pp. 193–213).