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平均流变化对波反馈的A-B混合方程理论
引用本文:高守亭.平均流变化对波反馈的A-B混合方程理论[J].大气科学,2007,31(6):1151-1159.
作者姓名:高守亭
作者单位:中国科学院大气物理研究所,北京,100029
基金项目:国家自然科学基金资助项目40575025、40333034,中国科学院百人计划项目KCL14014
摘    要:从两层模式的基本方程出发,推导了描述平均流对波振幅反馈的A-B混合方程,并通过适当变换把混合方程转化为洛仑兹系统,用于研究平均流对边缘波扰动振幅增长的反馈机制,以及在中性廓线附近边缘波的稳定性问题。这是对研究波流相互作用的E-P通量理论的一个重要扩充。同时,作者还指出了A-B混合方程理论在研究大气中的波流相互作用及对流方面有相当应用前景。

关 键 词:波-平均流相互作用  A-B混合方程  洛仑兹系统  稳定性分析
文章编号:1006-9895(2007)06-1151-09
修稿时间:2007-05-30

A-B Hybrid Equation Theory on the Feedback of the Basic Flow Modification on the Wave and Its Application
GAO Shou-Ting.A-B Hybrid Equation Theory on the Feedback of the Basic Flow Modification on the Wave and Its Application[J].Chinese Journal of Atmospheric Sciences,2007,31(6):1151-1159.
Authors:GAO Shou-Ting
Institution:Institute of Atmospheric Physics, ChineseAcademy of Sciences, Beijing 100029
Abstract:Based on the two-layer model equations, the A -B hybrid equations are derived to describe the feedback of the basic flow modification on the wave amplitude. After being transformed into Lorenz system, the A -B equations are used to study the mechanism of the feedback of the basic flow on marginal wave, as well as their stability near the balance points in the phase space. It is a quite important complement to the E-P flux theory in wave-mean flow interactions. In addition, the potential applications of the A -B hybrid equation theory to the wave-mean flow interactions and convective systems are pointed out in this paper.
Keywords:wave- mean flow interaction  A- B hybrid equations  Lorenz system  stability analysis
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