STABILITY AND EQUATIONS OF AMPLITUDE AND PHASE FOR DISTURBANCES ON ZONAL FLOW IN BAROTROPIC ATMOSPHERE ON SPHERICAL COORDINATES

Using the method of linear disturbances, it is proved that the sufficient and necessarycondition for neutral disturbances is that the isolines of the phase for disturbances are dis-tributed in the meridional direction, in an ideal and inviscid and nondivergent atmosphere onrotating spherical coordinates with a shear zonal parallel flow and the zonal rigid boundaryconditions. From the above conclusion, we can get that the disturbances with tilted treughmay not be neutral, and it must be amplifying or damping. Furthermore, we have derivedthe nonlinear equations of amplitude and phase for disturbances.     

球面正压大气中扰动的稳定性及其振幅、位相方程

对于球面、正压无辐散的理想、无粘性的大气,其基本气流与边界平行,且满足刚体边界条件.本文用线性小扰动方法,证明了中性扰动的充分必要条件是扰动的等位相线沿经向的分布.由此推得,具有非经向槽的扰动不可能是中性的,它必然是发展的或衰减的.文中还得到了关于扰动的振幅和位相的非线性方程。