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大气运动不稳定的变分原理(Ⅱ)
引用本文:曾庆存. 大气运动不稳定的变分原理(Ⅱ)[J]. 力学进展, 1991, 21(1): 70-82. DOI: 10.6052/1000-0992-1991-1-J1991-009
作者姓名:曾庆存
作者单位:中国科学院大气物理研究所大气科学和地球流体力学数值模拟开放研究实验室
摘    要:<正> 7 分层流模式 假设有J薄层均匀流体,其上边界面、密度和速度分别由Z_k;ρ_k和V_k表示,k=1,2,…,J(图3)。我们有如下的基本方程组 (曾庆存,1979): 

关 键 词:大气运动 不稳定 变分原理

VARIATIONAL PRINCIPLE OF INSTABILITY OF ATMOSPHERIC MOTIONS
Zeng Qing-cunLaboratory of Numerical Modelling for Atmospheric Sciences and GFD Institute of Atmospheric Physics,Academia Sinica,Beijing,China. VARIATIONAL PRINCIPLE OF INSTABILITY OF ATMOSPHERIC MOTIONS[J]. Advances in Mechanics, 1991, 21(1): 70-82. DOI: 10.6052/1000-0992-1991-1-J1991-009
Authors:Zeng Qing-cunLaboratory of Numerical Modelling for Atmospheric Sciences  GFD Institute of Atmospheric Physics  Academia Sinica  Beijing  China
Abstract:Problems of instability of rotating atmospheric motions are investigated by using nonlinear governing equations and the variational principle. The method suggested in this paper is Universal for obtaining criteria of instability in ail models with all possible basic flows. For example, the model can be barotropic or baroclinic, layered or continuous, quasi-geostrophic or primitive equations! the basic flow can be zonal or nonzonal, steady or unsteady.Although the basic flows show a great deal of variety, th...
Keywords:atmospheric motions  vanalional principle  instability
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