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层结流体中具有β效应与地形效应的强迫Rossby孤立波
引用本文:宋健,杨联贵.层结流体中具有β效应与地形效应的强迫Rossby孤立波[J].物理学报,2010,59(5):3309-3314.
作者姓名:宋健  杨联贵
作者单位:(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
基金项目:内蒙古教育厅基金(批准号:NJZY08005,NJ09066),内蒙古自然科学基金(批准号:2009ZD01)和内蒙古工业大学科学研究项目(批准号:X200933)资助的课题.
摘    要:层结流体中,从绝热位涡的扰动方程出发采用摄动方法和时空伸长变换推导了具有β效应和地形效应的强迫Rossby孤立波方程,得到孤立Rossby波振幅的演变满足带有地形强迫的非齐次mKdV方程的结论. 通过分析孤立Rossby波振幅的演变,即使基本气流没有切变,仍可能激发出Rossby孤立波.指出了科氏力效应、地形效应以及Vaisala-Brunt频率都是诱导Rossby孤立波产生的重要因素,说明了在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的mKdV方程.讨论 关键词: 非齐次mKdV方程 β效应')" href="#">β效应 地形 Vaisala-Brunt 频率

关 键 词:非齐次mKdV方程  β效应  地形  Vaisala-Brunt  频率
收稿时间:2009-07-21

Force solitary Rossby waves with beta effect and topography effect in stratified flows
Song Jian,Yang Lian-Gui.Force solitary Rossby waves with beta effect and topography effect in stratified flows[J].Acta Physica Sinica,2010,59(5):3309-3314.
Authors:Song Jian  Yang Lian-Gui
Abstract:For the stratified fluids, based on the quasi-geostrophic potential vorticity equation, an inhomogeneous modified Korteweg-de Vried (mKdV) equation including topographic forcing is derived by employing the perturbation method and stretching transforms of time and space. With inspection of the evolution of the amplitude of Rossby waves, it is found that Coridis effect, topography effect and Vaisala-Brunt frequency are the important factors, that induce the solitary Rossby wave, and it is induced even though the basic stream function has not a shear. Assuming that there is a balance between nonlinear and topographic effects, an inhomogeneous mKdV equation is derived, the results show that the topography and Rossby waves interact in the stratified flows. The inhomogeneous mKdV equation describing the evolution of the amplitude of solitary Rossby waves as a function of the change of Rossby parameter β(y) with latitude y, topographic forcing and the Vaisala-Brunt frequency is obtained.
Keywords:inhomogeneous mKdV equation  β effect  topographic  Vaisala-Brunt frequency
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