摘要
本文完整地考虑了惯性Coriolis力作用,得出地球大气的惯性重力内波的控制方程.对熟知的波动解应用算符法和两种时空尺度的WKB方法,导出波群的一些基本性质:1.波群中最重要理理量:A(波幅)、(?)(波矢)、ω(频率、E(=A^2)(波能)等全部以群速度(?)在空间中传播;2.(?)、ω、E以及能量函数,在时空中缓变的唯一因数是“层结”参数N^2(Brunt-V(?)is(?)l(?)频率的平方),在时空上的不均匀分布;3.若齐次线性方程的频散关系为L(-iω,ik,il,im)=0,其左端为波矢(?)分量k、l、m的齐n次多项式,则群速(?)必垂直于波的相速(?).本文讨论的波群为n=2,所以(?)垂直于(?)的这个关系也成立.
This paper applies the operator method and the multi-spacetime WKB method to the slowly changing wave group of the internal inertia-gravity wave of the atmosphere. Several basic properties have been obtained.
1. The important quantities of the wave group, such as A, K , ω, E(=A2),…, are all propagating with the group velocity C8 in space;
2. K,ω,E(= A2) and energy function are slow in change and depend
on only one factor-the variation of the parameter of stratification N(Brunt Vdisalafrequency);
3. Any wave has a relation of dispersion : L( - i ω.ik,il,im) = 0. If the
left side of the relation is the component of the wave vector K and forms
a homogeneous polynomial of n-degree, Cg is perpendicular to C .
出处
《杭州大学学报（自然科学版）》
CSCD
1991年第4期473-482,共10页
Journal of Hangzhou University Natural Science Edition
关键词
大气
惯性重力内波
CORIOLIS力
Coriolis force
the group velocity
the homogeneous polynomial of n-degree of the wave vector K's components
