## 留言板

 引用本文: 林一骅. 2022. 再论地转流的正压不稳定[J]. 大气科学, 47(X): 1−8
LIN Yihua. 2022. Barotropic Instability of Geostrophic Flow: The Problem Revisited [J]. Chinese Journal of Atmospheric Sciences (in Chinese), 47(X): 1−8 doi: 10.3878/j.issn.1006-9895.2203.22004
 Citation: LIN Yihua. 2022. Barotropic Instability of Geostrophic Flow: The Problem Revisited [J]. Chinese Journal of Atmospheric Sciences (in Chinese), 47(X): 1−8

## Barotropic Instability of Geostrophic Flow: The Problem Revisited

Funds: National Natural Science Foundation of China (Grants 42275057 and 42230403)，State Key Program of the Joint Fund of the National Natural Science Foundation of China and the Civil Aviation Administration of China (Grant U2033207)
• 摘要: 本文研究了考虑地转约束的情况下，正压不稳定的必要条件，并基于能量学和位涡动力学理论，对正压不稳定的必要条件的物理含义进行了诠释。对于满足地转平衡的基本流，瑞利—郭晓岚定理[（Rayleigh，1880）、Kuo（19491973）]修正为：若地转流可能出现不稳定，其位涡梯度需在某个纬度取极值。Fjørtoft定理（Fjørtoft, 1950）相应地成为：若地转流可能出现不稳定，需满足Qy（位涡的经向梯度）与UUs（地转流速度与Qy为零处的地转流速度之差）同号。即由原结论中的绝对涡度修正为位涡，这是地转约束也是位涡约束的结果。研究指出满足能量关系是正压不稳定可能出现的能量学要求，瑞利—郭晓岚定理是正压不稳定可能出现的位涡动力学条件，而Fjørtoft定理则是能量学与位涡动力学两种要求的协调，能量关系、瑞利—郭晓岚定理和Fjørtoft定理三者均须满足，正压不稳定才有可能发生。
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##### 出版历程
• 收稿日期:  2022-01-05
• 录用日期:  2022-06-01
• 网络出版日期:  2022-06-14

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