地球斜压大气纬圈平均运动特征的振动(二)——各向异性准涡旋运动

本文是文3]的一个续篇,以简单的水平动能各向异性假定替换文3]中的各向同性假定。结果是纬圈平均运动特征随纬度的分布由勒尚德多项式改为车贝雪夫多项式。在较一般的水平动能各向异性分布情况下,葛根保尔多项式代替了车贝雪夫多项式。其随时间的变化仍是谐波振动。其他结论与文3]基本相同。 这反映线性理论在大气宏观中期过程的研究工作中,还有较大的潜力可供开发。 本文为以实际资料检验准涡旋运动观点作了准备。

THE OSCILLATION OF THE ZONAL MEAN CHARACTERISTICS OF THE ATMOSPHERE OVER A SPHERE EARTH (2)

This paper is an extension of the autherks words (1),(2),(3).Simple anisotropic distribution of horizontal kinetic energy is assumed,i.e.,the zonal kinetic energy is twice that of the meridional kinetic energy.The large scale atmospheric motion is considered as consisted of quasi-horizontal eddies and regular flow.The techniques of quasi-eddy,quasi-steady,quasi-geostrophic and quasi-adiabatic approximations are used in order to get the analytical solutions of the system of equations governing the variation of the zonal mean characteristics.The results show that the zonal mean characteristics of the atmospheric motion are a combination of different periods ranged fron a few days to a few weeks depending on the components of the Tschebyscheff polynomials of tke sine of the latitude.When more general anisotropy of horizontal kinetic energy is assumed,Gegenbauer polynomials appear instead of Chebyshev polynomials.When the distribution of horizontal hintic energy is isotropic,the polynomials retrograde to Legendre polynomials.