The Charney Baroclinic Stability Problem: Approximate Solutions and Modal Structures
The Charney Baroclinic Stability Problem: Approximate Solutions and Modal Structures
复制标题
查尼斜压稳定性问题：近似解和模态结构
DOI：
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发表时间：
1983
期刊：
影响因子：
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通讯作者：
L. E. Branscome
中科院分区：
文献类型：
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作者：
L. E. Branscome
摘要利用微扰技术，在短波极限，在分离Charney和Green模态的第一个中性曲线附近，在分离Green长模态和短模态的第二个中性曲线附近，研究了经典Charney斜压稳定性问题。该方法为生长波的垂直结构以及相速度和生长速率与平均流动参数的关系提供了简单的解析表达式。快速增长的Charney模态具有水平和垂直尺度，其关键取决于β参数。热通量和位涡通量的结构也用近似解表示，并考察了它们与波数的关系。
Abstract The classic Charney baroclinic stability problem is examined through perturbation techniques in the short-wave limit, near the first neutral curve separating Charney and Green modes, and near the second neutral curve separating long and short Green modes. This method provides simple analytical expressions for the vertical structure of the growing waves and the dependence of phase speeds and growth rates on mean flow parameters. The rapidly growing Charney modes have horizontal and vertical scales which crucially depend on the β-parameter. Structures of heat and potential vorticity fluxes are also represented by approximate solutions and their dependence on wavenumber is examined.