AAM  >> Vol. 6 No. 3 (May 2017)

    f平面-大气阻塞中的Rossby孤立波
    f Plane-Atmosphere Blocking the Rossby Solitary Wave

  • 全文下载: PDF(446KB) HTML   XML   PP.388-397   DOI: 10.12677/AAM.2017.63045  
  • 下载量: 626  浏览量: 810   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。

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

参考文献

[1] Yeh, T.C. (1949) On Energy Dispersion in the Atmosphere. Journal of the Atmosphere Sciences, 6, 1-16
https://doi.org/10.1175/1520-0469(1949)006<0001:OEDITA>2.0.CO;2
[2] Egger, J.J. (1978) Dynamics of Blocking Highs. Journal of the Atmospheric Sciences, 35, 1788-1801.
https://doi.org/10.1175/1520-0469(1978)035<1788:DOBH>2.0.CO;2
[3] Chaney, J.G. and Devore, J.G. (1979) Multiple Flow Equilibria in the Atmosphere and Blocking. Journal of the Atmosphere Sciences, 36, 1205-1216.
[4] Tung, K.K. and Lindzen, R.S. (1979) A Theory of Stationary Long Waves. Part I: A Simple Theory of Blocking. Monthly Weather Review, 107, 714-734.
https://doi.org/10.1175/1520-0493(1979)107<0714:ATOSLW>2.0.CO;2
[5] Mcwilliams, T.C. (1980) An Application of Equivalent Modons to Atmospheric Blocking. Dynamics Atmosphere Sciences, 5, 43-66.
[6] Malanotte-Rizzoli, P. (1984) Nonlinear Stationary Rossby Waves on Nonuniform Zonal Winds and Atmospheric Blocking. Part I: The Analytical Theory. Journal of the Atmosphere Sciences, 41, 2620-2628.
[7] Malanotte-Rizzoli, P. (1985) Coherent Structures in a Baroclinic Atmosphere. Part II: A Truncated Model Approach. Journal of the Atmosphere Sciences, 42, 2463-2477.
[8] 罗德海, 纪立人. 大气中阻塞形成的一个理论[J]. 中国科学: 化学, 1989(1), 103-112.
[9] 罗德海. 旋转正压大气中的非线性Schrödinger方程和大气阻塞[J]. 气象学报, 1990, 48(3): 265-274.
[10] Frederisken, T.S. (1982) A Unified Three-Dimensional Instability Theory of the Onset of Blocking and Cyclogenesis. Journal of the Atmosphere Sciences, 39, 1009-1025.
[11] Schiling, H.D. (1982) A Numerical Investigation of the Dynamics of Blocking Waves in a Simple Two-Level Model. Journal of the Atmosphere Sciences, 39, 998-1017.
[12] Kou, H.L. (1949) Dynamic Instability of Two-Dimensional Nondivergent Flow in a Barotropic Atmosphere. Journal of the Atmosphere Sciences, 6, 105-122.