完整Coliolis力与缓变地形作用下的Rossby波  

Rossby Waves Under a Complete Coliolis Force and Slowing Terrain

作　　者：贾静 杨红丽[1] 杨光兴 杨联贵[1] JIA Jing;YANG Hong-li;YANG Guang-xing;YANG Lian-gui(School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021 ,China;People＇s Bank of China, Hohhot Central Sub Branch, Hohhot 010020 ,China)

机构地区：[1]内蒙古大学数学科学学院,呼和浩特010021 [2]中国人民银行呼和浩特中心支行,呼和浩特010020

出　　处：《内蒙古大学学报（自然科学版）》2017年第6期619-624,共6页Journal of Inner Mongolia University：Natural Science Edition

基　　金：国家自然科学基金(11362012)资助

摘　　要：在正压流体中,从含有完整Coliolis力的地转位涡方程出发,采用时空伸长变化与摄动法,推导了切变纬向流中缓变地形下的Rossby波的振幅满足非齐次mKDV-Burgers方程.结果表明,Coriolis力的水平分量和地形随时间的缓慢变化会对Rossby波产生一定的影响;说明β效应、地形效应和切变基本流是诱导Rossby波产生的重要因素.In a positive pressure fluid,based on the complete Coliolis force transfer vorticity equation,the amplitudes of Rossby waves in the slowed terrain of tangential zonal flows are deduced by employing the stretching transforms of time and space and the perturbation method,which satisfies the nonhomogeneous mKDV-Burgers equation.The results show that the horizontal component of a Coriolis force will have a certain influence on a Rossby wave with the change of time.At the same time,the β effect,terrain effect and shear elementary stream are important factors to induce Rossby waves.

关 键 词：ROSSBY波 MKDV-BURGERS方程 地形 水平分量 

分 类 号：P433[天文地球—大气科学及气象学]