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不稳定横波型扰动谱点分布的半圆定理
引用本文:张铭,张立凤.不稳定横波型扰动谱点分布的半圆定理[J].大气科学,2002,26(1):102-110.
作者姓名:张铭  张立凤
作者单位:解放军理工大学气象学院,南京,211101
基金项目:国家重点基础研究发展规划项目G1998040907和国家自然科学基金资助项目49875008共同资助
摘    要:作者在理论上对不稳定横波型扰动的谱点分布作了分析,得到了该不稳定扰动谱点分布的半圆定理,即谱点分布在复平面上以原点为圆心、以R0为半径的下半圆域上;并发现扰动的波长越短、模式层顶越高、静力稳定度参数的绝对值越大、基流的垂直切变越大、纬度越高则该半径就越大.

关 键 词:不稳定    横波型扰动    半圆定理

A Semicircle Theorem on the Spectral Distribution in Transverse Instability Perturbation
Zhang Ming and Zhang Lifeng.A Semicircle Theorem on the Spectral Distribution in Transverse Instability Perturbation[J].Chinese Journal of Atmospheric Sciences,2002,26(1):102-110.
Authors:Zhang Ming and Zhang Lifeng
Abstract:The spectral distribution of the transverse instability perturbation is theoretically studied. A semicircle theorem on the spectral distribution in transverse instability perturbation is derived. The theorem reveals that this distribution is in the lower semicircle of complex plane with the centerend ra-dius R0. The results show that the shorter the wavelength, the higher the mode top and the latitude, the larger the vertical shear of basic flow and the absolute value of static stability parameter, the larger the radius.
Keywords:instability  transverse distribution  semicircle theorem
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