2017应用数学和力学Open access

正压大气模式下大地形和β变化的Rossby波

宋健,刘全生,杨联贵, Jian Song, Quansheng Liu, YANG Lian-gui

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Abstract

Based on the potential vorticity equation, the large topography and the change of Rossby wave parameter β with the latitude were considered and parameter δ was introduced. With the normal mode method, the Rossby wave phase velocity formula was obtained in the high latitude regions with the large topography, the Froude number and parameter δ. The research points out that the large topography and the Froude number under the change of β influence the stability of Rossby waves, and these factors usually play a stabilizing part in the Rossby waves.

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What this paper is about

Based on the potential vorticity equation, the large topography and the change of Rossby wave parameter β with the latitude were considered and parameter δ was introduced. With the normal mode method, the Rossby wave phase velocity formula was obtained in the high latitude regions with the large topography, the Froude number and parameter δ. The research points out that the large topography and the Froude number under the change of β influence the stability of Rossby waves, and these factors usually play a stabilizing part in the Rossby waves.

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Available abstract

Based on the potential vorticity equation, the large topography and the change of Rossby wave parameter β with the latitude were considered and parameter δ was introduced. With the normal mode method, the Rossby wave phase velocity formula was obtained in the high latitude regions with the large topography, the Froude number and parameter δ. The research points out that the large topography and the Froude number under the change of β influence the stability of Rossby waves, and these factors usually play a stabilizing part in the Rossby waves.

Key concepts: Rossby wave, Froude number, Rossby radius of deformation, Rossby number, Latitude, Potential vorticity, Geology, Physics

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