地球流体中的完全惯性振荡和惯性波动  

Complete inertial oscillation and waves in globosity fluid

作　　者：蔡国盛[1] 句兆贵 

机构地区：[1]西北空管局气象中心,陕西西安710082

出　　处：《成都信息工程学院学报》2003年第2期161-170,共10页Journal of Chengdu University of Information Technology

摘　　要：在通常描写地球流体运动的Navier Stokes方程组中考虑了另一个Coriolis参数f′=2Ωcosφ的情况下,首先对中高纬度和低纬度的地球流体中的惯性振荡分别进行了分析和讨论,并把该惯性振荡称为完全惯性振荡,其次对中高纬度的完全惯性波也进行了讨论,结果发现:(1)中高纬度的完全惯性振荡的周期要比不考虑f′的惯性振荡(即通常所说的惯性圆)周期小,完全惯性振荡轨迹为一惯性球,球半径与初始纬向速度成正比;(2)低纬度的完全惯性振荡周期通常远大于中高纬度的完全惯性振荡周期,而且在一定的条件下,周期可以非常大,所以低纬度的完全惯性运动是长周期(或低频)的惯性振荡。(3)中高纬度的完全惯性波的传播速度比不考虑f′的惯性波快,而且是频散波。The coriolis parameter f′=2Ωcosφ is considered and the inertial oscillation called the complete inertial oscillation in the middle and low latitudes and the inertial waves in the middle latitude is analyzed. The results show that (1) In the middle latitudes the period of the complete inertial oscillation is less than that of the inertial oscillation in which the parameter f′ is omitted and the trace of the complete inertial oscillation is an inertial sphere whose radius is proportional to the initial zonal velocity. (2) There are two kinds of angular frequencies of the complete inertial oscillation in the low latitudes, the one is ω and the other is ω1. They are all decided by the initial zonal velocity. (3) The complete inertial wave in the middle latitudes spreads more quickly than the inertial wave in which the parameter f′ is omitted.

关 键 词：地球流体 完全惯性振荡 完全惯性波动 NAVIER-STOKES方程组 振荡轨迹 惯性球 振荡周期 

分 类 号：P433[天文地球—大气科学及气象学]