Vertical normal mode transforms: theory and application
Vertical normal mode transforms: theory and application
复制标题
垂直简正模态变换：理论与应用
DOI：
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发表时间：
1985
期刊：
影响因子：
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通讯作者：
W. Schubert
中科院分区：
文献类型：
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作者：
S. Fulton;W. Schubert
摘要将原始(静力)气象方程解的垂直结构分离形式化为垂直简正模变换。该变换基于与能量学密切相关的变分形式，利用Rayleigh-Ritz方法实现了对任意静稳定性剖面的变换。对于多项式基函数，精度的阶数是指数的。当计算观测场的垂直变换时，能量可能会混叠到错误的垂直模式上；这种混叠可以通过仔细选择采样级别来大大减少。给出了观测到的风场和质量场的热带强迫的谱分布。
Abstract The separation of the vertical structure of the, solutions of the primitive (hydrostatic) meteorological equations is formalized as a vertical normal-mode transform. The transform is implemented for arbitrary static stability profiles by the Rayleigh-Ritz method, which is based on a variational formulation closely connected with energetics. With polynomial basis functions the order of accuracy is exponential. When vertical transforms of observed fields are computed, energy may be aliased onto the wrong vertical modes; this aliasing may be reduced substantially by a careful choice of sampling levels. The spectral distributions of observed tropical forcings of the wind and mass fields are presented.