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Volume 8 Issue 1

Jan.  1991

Article Contents

New Approach to Study the Evolution of Rossby Wave Packet


doi: 10.1007/BF02657366

  • The average variational principle was employed in this paper to study the evolution of large-scale and slowly va-rying Rossby wave packet with basic flow both in barotropic and baroclinic atmospheres. The evolution of the struc-ture of Rossby wave packet with both time and space was studied. The results obtained in this paper are similar to the results of by WKBJ method. In addition, the dispersive process of the wave packet was analysed by taking Gaussian type wave packet as an initial disturbance. The valid time scale for application of wave packet theory in the atmos-phere was obtained.
  • [1] Lu Peisheng, 1992: The Structure and Propagation of Stationary Planetary Wave Packet in the Barotropic Atmosphere, ADVANCES IN ATMOSPHERIC SCIENCES, 9, 157-166.  doi: 10.1007/BF02657506
    [2] Yuejian ZHU, 2005: Ensemble Forecast: A New Approach to Uncertainty and Predictability, ADVANCES IN ATMOSPHERIC SCIENCES, 22, 781-788.  doi: 10.1007/BF02918678
    [3] LI Hongqi, GUO Weidong, SUN Guodong, ZHANG Yaocun, FU Congbin, 2011: A New Approach for Parameter Optimization in Land Surface Model, ADVANCES IN ATMOSPHERIC SCIENCES, 28, 1056-1066.  doi: 10.1007/s00376-010-0050-z
    [4] Luo Dehai, Ji Liren, 1988: ALGEBRAIC ROSSBY SOLITARY WAVE AND BLOCKING IN THE ATMOSPHERE, ADVANCES IN ATMOSPHERIC SCIENCES, 5, 445-454.  doi: 10.1007/BF02656790
    [5] 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
    [6] Wang Shaobin, Song Wenzhi, Su Weihan, Zeng Jianghai, Wang Zhiping, Zhang Yuming, 1995: Nitrous Oxide Evolution from Agricultural Soil: A Regression Approach, ADVANCES IN ATMOSPHERIC SCIENCES, 12, 114-120.  doi: 10.1007/BF02661294
    [7] Luo Dehai, 1990: Topographically Forced Rossby Wave Instability and the Development of Blocking in the Atmosphere, ADVANCES IN ATMOSPHERIC SCIENCES, 7, 433-440.  doi: 10.1007/BF03008873
    [8] 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
    [9] Gao Shouting, 1988: NONLINEAR ROSSBY WAVE INDUCED BY LARGE-SCALE TOPOGRAPHY, ADVANCES IN ATMOSPHERIC SCIENCES, 5, 301-310.  doi: 10.1007/BF02656754
    [10] Lu Keli, Zhu Yongchun, 1994: Seasonal Variation of Stationary and Low-Frequency Rossby Wave Rays, ADVANCES IN ATMOSPHERIC SCIENCES, 11, 427-435.  doi: 10.1007/BF02658163
    [11] Liao Qinghai, Li Chongyin, 1995: CISK-rossby wave and the 30-60 Day Oscillation in the Tropics, ADVANCES IN ATMOSPHERIC SCIENCES, 12, 1-12.  doi: 10.1007/BF02661282
    [12] Samuel S. P. SHEN, Benedikt KRAMPS, Shirley X. SUN, Barbara BAILEY, 2012: An Approach to Quantify the Heat Wave Strength and Price a Heat Derivative for Risk Hedging, ADVANCES IN ATMOSPHERIC SCIENCES, 29, 1-9.  doi: 10.1007/s00376-011-1020-9
    [13] Xu Xiangde, 1991: The Effect of Spatial Structure Character of Heat Source on the Ray Path and the Evolution of Wave Energy of Meridional Wave Train, ADVANCES IN ATMOSPHERIC SCIENCES, 8, 87-98.  doi: 10.1007/BF02657367
    [14] Qiujie REN, Mu MU, Guodong SUN, Qiang WANG, 2023: A New Sensitivity Analysis Approach Using Conditional Nonlinear Optimal Perturbations and Its Preliminary Application, ADVANCES IN ATMOSPHERIC SCIENCES, 40, 285-304.  doi: 10.1007/s00376-022-1445-3
    [15] Zhang Ren, Yu Zhihao, 2000: Low-Frequency CISK-Rossby Wave and Stratospheric QBO in the Tropical Atmosphere, ADVANCES IN ATMOSPHERIC SCIENCES, 17, 311-321.  doi: 10.1007/s00376-000-0012-y
    [16] Yaokun LI, Jiping CHAO, Yanyan KANG, 2021: Variations in Wave Energy and Amplitudes along the Energy Dispersion Paths of Nonstationary Barotropic Rossby Waves, ADVANCES IN ATMOSPHERIC SCIENCES, 38, 49-64.  doi: 10.1007/s00376-020-0084-9
    [17] Yaokun LI, Jiping CHAO, Yanyan KANG, 2022: Variations in Amplitudes and Wave Energy along the Energy Dispersion Paths for Rossby Waves in the Quasigeostrophic Barotropic Model, ADVANCES IN ATMOSPHERIC SCIENCES, 39, 876-888.  doi: 10.1007/s00376-021-1244-2
    [18] Yashu WU, Jianhua LU, 2023: A Quantitative Method of Detecting Transient Rossby Wave Phase Speed: No Evidence of Slowing Down with Global Warming, ADVANCES IN ATMOSPHERIC SCIENCES, 40, 251-261.  doi: 10.1007/s00376-022-2164-5
    [19] 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
    [20] Chuandong ZHU, Rongcai REN, Guoxiong WU, 2018: Varying Rossby Wave Trains from the Developing to Decaying Period of the Upper Atmospheric Heat Source over the Tibetan Plateau in Boreal Summer, ADVANCES IN ATMOSPHERIC SCIENCES, 35, 1114-1128.  doi: 10.1007/s00376-017-7231-y

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Manuscript History

Manuscript received: 10 January 1991
Manuscript revised: 10 January 1991
通讯作者: 陈斌, bchen63@163.com
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New Approach to Study the Evolution of Rossby Wave Packet

  • 1. LASG, Institute of Atmospheric Physics, Academia Sinica, Beijing 100080

Abstract: The average variational principle was employed in this paper to study the evolution of large-scale and slowly va-rying Rossby wave packet with basic flow both in barotropic and baroclinic atmospheres. The evolution of the struc-ture of Rossby wave packet with both time and space was studied. The results obtained in this paper are similar to the results of by WKBJ method. In addition, the dispersive process of the wave packet was analysed by taking Gaussian type wave packet as an initial disturbance. The valid time scale for application of wave packet theory in the atmos-phere was obtained.

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