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球面正压粘性大气的运动特征
引用本文:许习华.球面正压粘性大气的运动特征[J].应用气象学报,1992,3(3):299-305.
作者姓名:许习华
作者单位:1.国家海洋环境预报研究中心 北京100081
摘    要:通过对球面正压粘性大气非线性扰动的研究表明:由于波动之间的弱非线性相互作用,球面小扰动的波包演变是由一种较为简单的方程形式控制,当此粘性力消失时,该方程为非线性Schr?dinger方程。研究结果还表明:非线性Schr?dinger孤立波的形成,有两个因子非常重要,一是运动的球面性,另一个则是基本风场的经向切变。前者反映了球面运动的特殊性。本文还从另一个角度证明了粘性力的作用对波动起着加强能量的耗散作用,不利于这种几率波(Schr?dinger 孤立波)的形成。

关 键 词:大气  球面正压  非线性  运动

The Characters of Viscous Barotropic Atmosphere on Sphere
Institution:(National Research Center for Marine Environment Forecasts, Beijing, 100081)
Abstract:The characters of nonlinear disturbance of viscous barotropic atmosphere on sphere is discussed. It shows that the envelop of disturbance is controlled by a simple equation because of the reactions of weak nonlinear interaction between waves. The simple equation changes into nonlinear Schr?dinger equation when viscous effect is died away. The result also shows that two factors, one is the effect of curvature of the sphere and the other is the shear of the basic wind field, are very important for the formation of the equation. The paper is also pointed out that the viscous effect may act as dispersion to enhance the energy of the envelop and it may be unfavourable for the formation of this statistical solitary wave (Schr?dinger wave)
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