缓变地形下β效应的Rossby代数孤立波  

Algebraic solitary Rossby waves excited slowly changing topography and beta effect

作　　者：宋健[1,2] 刘全生[1] 杨联贵[1] 

机构地区：[1]内蒙古大学数学科学学院,呼和浩特010021 [2]内蒙古工业大学理学院,呼和浩特010051

出　　处：《地球物理学进展》2013年第4期1684-1688,共5页Progress in Geophysics

基　　金：国家自然科学基金青年科学基金(批准号:11202092);中国科学院海洋环流与波动重点实验室开放研究基金(批准号:KLOCAW1108);内蒙古自然科学基金(批准号:2011MS0112;2012MS0107);内蒙古自治区研究生教育创新计划研究生科研创新资助项目(批准号:1402020201-01007;1402020201-01006)联合资助

摘　　要：正压流体中,从准地转位涡方程出发采用摄动方法和时空伸长变换推导了在缓变地形下β效应的Rossby代数孤立波方程,得到Rossby波振幅满足带有缓变地形非齐次Benjamin-Davis-Ono(BDO)方程的结论.通过分析孤立Rossby波振幅的演变,指出了β效应、地形效应是诱导Rossby孤立波产生的重要因素,说明了在缓变地形强迫效应和非线性作用相平衡的假定下,Rossby孤立波振幅的演变满足非齐次BDO方程,给出在切变基本气流下缓变地形和正压流体中Rossby波的相互作用.In barotropic fluids, based on the quasi-geostrophic potential vorticity equation, an inhomogeneous BDO equation including slowly changing topography and beta effect is derived by employing the reductive perturbation expansion method and stretching transforms of time and space. With inspection of the evolution of the amplitude of Rossby waves, it is found that beta effect, topography effect, slowly changing topography are the important factor, the algebraic solitary Rossby waves is induced thought the basic stream function has a shear flow. Assuming that there be a balance between nonlinear and topographic effects, an inhomogeneous BDO equation is derived, the results show that the topography and Rossby waves interact in the barotropic flows.

关 键 词：非齐次BDO方程 缓变地形 β效应 

分 类 号：P433[天文地球—大气科学及气象学]