f平面-大气阻塞中的Rossby孤立波
f Plane-Atmosphere Blocking the Rossby Solitary Wave
DOI: 10.12677/AAM.2017.63045, PDF, HTML, XML, 下载: 1,806  浏览: 2,270  国家自然科学基金支持
作者: 陈悦, 宋健:内蒙古工业大学,内蒙古 呼和浩特
关键词: 大气阻塞Rossby孤立波非线性 Schrödinger方程Atmospheric Obstruction Rossby Solitary Wave Nonlinear Schrödinger Equation
摘要: 本文采用多重尺度法研究了基本气流具有弱切变的非线性正压Rossby波,得到了偶极子阻塞形成的一个理论及其影响。在f平面下求得它的波包满足非线性Schrödinger方程。指出:当Rossby波的波数满足 (k为纬向波数,m为经向波数)时,大气中周期Rossby波可以产生调制不稳定,形成包络Rossby孤立波。
Abstract: In this paper, the multiple-scale method is adopted to study the basic flow which has a weak nonlinear barotropic Rossby wave, and a theory and its influence on the formation of dipole blocking are obtained. Under the f plane, its obtained wave packet satisfies the nonlinear Schrödinger equation. It pointed out: when the wave number of Rossby wave meets (k for zonal wave number, m for meridional wave number), the period Rossby wave in the atmosphere can produce modulation instability and form enveloping Rossby solitary wave.
文章引用:陈悦, 宋健. f平面-大气阻塞中的Rossby孤立波[J]. 应用数学进展, 2017, 6(3): 388-397. https://doi.org/10.12677/AAM.2017.63045

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