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Volume 8 Issue 3

Jul.  1991

Article Contents

The Effects of Zonal Flow on Nonlinear Rossby Waves


doi: 10.1007/BF02919612

  • In this paper, we using phase plane method have derived the stability criteria of linear and nonlinear Rossby waves under the conditions of semi-geostrophic approximation and have gotten the solutions and geostrophic vorticity of corresponding solitary Rossby waves. It is pointed out that the wave stability is connected with the distri-bution of zonal flow and when the zonal flow is different the solitary wave trough or ridge is formed.
  • [1] Luo Dehai, 1999: Nonlinear Three-Wave Interaction among Barotropic Rossby Waves in a Large-scale Forced Barotropic Flow, ADVANCES IN ATMOSPHERIC SCIENCES, 16, 451-466.  doi: 10.1007/s00376-999-0023-2
    [2] Tianju WANG, Zhong ZHONG, Ju WANG, 2018: Vortex Rossby Waves in Asymmetric Basic Flow of Typhoons, ADVANCES IN ATMOSPHERIC SCIENCES, 35, 531-539.  doi: 10.1007/s00376-017-7126-y
    [3] Shen Xinyong, Ni Yunqi, Ding Yihui, 2002: On Problem of Nonlinear Symmetric Instability in Zonal Shear Flow, ADVANCES IN ATMOSPHERIC SCIENCES, 19, 350-364.  doi: 10.1007/s00376-002-0027-7
    [4] He Jianzhong, 1993: Topography and the Non-linear Rossby Wave in the Zonal Shear Basic Flow, ADVANCES IN ATMOSPHERIC SCIENCES, 10, 233-242.  doi: 10.1007/BF02919146
    [5] Zheng Xingyu, Zeng Qingcun, Huang Ronghui, 1991: The Propagation of Inertia-Gravity Waves and Their Influence on Mean Zonal Flow, Part One: the Propagation of Inertia-Gravity Waves, ADVANCES IN ATMOSPHERIC SCIENCES, 8, 431-446.  doi: 10.1007/BF02919266
    [6] Zheng Xingyu, Zeng Qingcun, Huang Ronghui, 1992: The Propagation of Inertia-Gravity Waves and Their Influence on Zonal Mean Flow Part Two: Wave Breaking and Critical Levels, ADVANCES IN ATMOSPHERIC SCIENCES, 9, 29-36.  doi: 10.1007/BF02656927
    [7] Li Liming, Huang Feng, Chi Dongyan, Liu Shikuo, Wang Zhanggui, 2002: Thermal Effects of the Tibetan Plateau on Rossby Waves from the Diabatic Quasi-Geostrophic Equations of Motion, ADVANCES IN ATMOSPHERIC SCIENCES, 19, 901-913.  doi: 10.1007/s00376-002-0054-4
    [8] Chen Zhongming, Liu Fuming, Li Xiaoping, Tao Jie, 1994: Oscillatory Rossby Solitary Waves in the Atmosphere, ADVANCES IN ATMOSPHERIC SCIENCES, 11, 65-73.  doi: 10.1007/BF02656995
    [9] Zhang Xuehong, Zeng Qingcun, Bao Ning, 1986: NONLINEAR BAROCLINIC HAURWITZ WAVES, ADVANCES IN ATMOSPHERIC SCIENCES, 3, 330-340.  doi: 10.1007/BF02678653
    [10] Liu Shida, Liu Shikuo, 1985: NONLINEAR WAVES IN BAROTROPIC MODEL, ADVANCES IN ATMOSPHERIC SCIENCES, 2, 147-157.  doi: 10.1007/BF03179747
    [11] Jiang Guorong, 1996: CISK-related Rossby Waves in the Tropical Atmosphere, ADVANCES IN ATMOSPHERIC SCIENCES, 13, 115-123.  doi: 10.1007/BF02657032
    [12] Zhao Qiang, Fu Zuntao, Liu Shikuo, 2001: Equatorial Envelope Rossby Solitons in a Shear Flow, ADVANCES IN ATMOSPHERIC SCIENCES, 18, 418-428.  doi: 10.1007/BF02919321
    [13] Liu Shida, Liu Shikuo, 1990: Advances in Studies on Nonlinear Atmospheric Waves, ADVANCES IN ATMOSPHERIC SCIENCES, 7, 227-244.  doi: 10.1007/BF02919161
    [14] ZHONG Wei, LU Han-Cheng, Da-Lin ZHANG, 2010: Mesoscale Barotropic Instability of Vortex Rossby Waves in Tropical Cyclones, ADVANCES IN ATMOSPHERIC SCIENCES, 27, 243-252.  doi: 10.1007/s00376-009-8183-7
    [15] Yi Zengxin, T. Warn, 1987: A NUMERICAL METHOD FOR SOLVING THE EVOLUTION EQUATION OF SOLITARY ROSSBY WAVES ON A WEAK SHEAR, ADVANCES IN ATMOSPHERIC SCIENCES, 4, 43-54.  doi: 10.1007/BF02656660
    [16] Y. L. McHall, 1993: Large Scale Perturbations in Extratropical Atmosphere-Part I: On Rossby Waves, ADVANCES IN ATMOSPHERIC SCIENCES, 10, 169-180.  doi: 10.1007/BF02919139
    [17] Qin XU, Wei GU, GAO Shouting, 2005: Nonlinear Oscillations of Semigeostrophic Eady Waves in the Presence of Diffusivity, ADVANCES IN ATMOSPHERIC SCIENCES, 22, 49-57.  doi: 10.1007/BF02930869
    [18] Mu Mu, Wu Yonghui, Tang Mozhi, Liu Haiyan, 1999: Nonlinear Stability Analysis of the Zonal Flows at Middle and High Latitudes, ADVANCES IN ATMOSPHERIC SCIENCES, 16, 569-580.  doi: 10.1007/s00376-999-0032-1
    [19] Gao Shouting, 1988: NONLINEAR ROSSBY WAVE INDUCED BY LARGE-SCALE TOPOGRAPHY, ADVANCES IN ATMOSPHERIC SCIENCES, 5, 301-310.  doi: 10.1007/BF02656754
    [20] Jae-Jin KIM, Do-Yong KIM, 2009: Effects of a Building's Density on Flow in Urban Areas, ADVANCES IN ATMOSPHERIC SCIENCES, 26, 45-56.  doi: 10.1007/s00376-009-0045-9

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Manuscript History

Manuscript received: 10 July 1991
Manuscript revised: 10 July 1991
通讯作者: 陈斌, bchen63@163.com
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The Effects of Zonal Flow on Nonlinear Rossby Waves

  • 1. Chengdu Meteorological Institute, Chengdu 610041, China

Abstract: In this paper, we using phase plane method have derived the stability criteria of linear and nonlinear Rossby waves under the conditions of semi-geostrophic approximation and have gotten the solutions and geostrophic vorticity of corresponding solitary Rossby waves. It is pointed out that the wave stability is connected with the distri-bution of zonal flow and when the zonal flow is different the solitary wave trough or ridge is formed.

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