The leading-order equations governing the unsteady dynamics of large-scale atmospheric motions are derived, via a systematic asymptotic approach based on the thin-shell approximation applied to the ellipsoidal model of the Earth’s geoid. We present some solutions of this single set of equations that capture properties of specific atmospheric flows, using field data to choose models for the heat sources that drive the motion. In particular, we describe standing-waves solutions, waves propagating towards the Equator, equatorially trapped waves and we discuss the African Easterly Jet/Waves. This work aims to show the benefits of a systematic analysis based on the governing equations of fluid dynamics.

通过基于应用于地球大地水准面的椭球模型的薄壳近似的系统渐近方法，推导出了控制大尺度大气运动的非定常动力学的先导方程。我们提出了这组方程的一些解，这些方程捕捉了特定大气流动的特性，使用现场数据来选择驱动运动的热源的模型。特别是，我们描述了驻波解决方案，向赤道传播的波，赤道困波，我们讨论了非洲东风急流/波。这项工作旨在展示基于流体动力学控制方程的系统分析的好处。