ALGEBRAIC ROSSBY SOLITARY WAVE AND BLOCKING IN THE ATMOSPHERE

Luo Dehai; Ji Liren

doi:10.1007/BF02656790

Impact Factor: 5.8

Volume 5 Issue 4

Oct. 1988

Article Contents

Article > ADVANCES IN ATMOSPHERIC SCIENCES > 1988 > 5(4): 445-454

ALGEBRAIC ROSSBY SOLITARY WAVE AND BLOCKING IN THE ATMOSPHERE

Luo Dehai,
Ji Liren

1.
Institute of Atmospheric Physics, Aeademia Sinica, Beijing,Institute of Atmospheric Physics, Aeademia Sinica, Beijing

Luo Dehai,
Ji Liren

doi: 10.1007/BF02656790

Abstract
References
Related papers
PDF

Abstract:
In this paper, the atmosphere is divided into two regions which are governed by different equations. Furthermore, multiple-scale method is used to obtain the Benjamin-Ono equation satisfied by the nonlinear Rossby wave in weak shear zonal flow. The equation has algebraic solitary wave solution, and the sta-tionary streamfunction fields in the atmosphere are calculated by using numerical method, and the results demonstrate that the stationary solution is antisymmetric dipoles with the anticyclone north of the cyclone, and the structure is similar to the equivalent modon obtained by Mcwilliains (1980), Because the modon obtained here is an algebraic solitary wave, the modon may be called “algebraic modon”, and the stationary algebraic modon is consistent with observations of blocking pattern in the atmosphere.
References

[1]	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
[2]	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
[3]	Xu Xihua, 1989: The Solitary Wave of Barotropic Atmosphere on a Sphere, ADVANCES IN ATMOSPHERIC SCIENCES, 6, 457-466. doi: 10.1007/BF02659079
[4]	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
[5]	R. Dhar, C. Guha-Roy, D. K. Sinha, 1991: On a Class of Solitary Wave Solutions of Atmospheric Nonlinear Equations, ADVANCES IN ATMOSPHERIC SCIENCES, 8, 357-362. doi: 10.1007/BF02919618
[6]	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
[7]	Yong. L. McHall, 1991: Blocking Distributions in the Atmosphere, ADVANCES IN ATMOSPHERIC SCIENCES, 8, 327-338. doi: 10.1007/BF02919615
[8]	Yong. L. McHall, 1992: Nonlinear Planetary Wave Instability and Blocking, ADVANCES IN ATMOSPHERIC SCIENCES, 9, 173-190. doi: 10.1007/BF02657508
[9]	Ren Shuzhan, 1991: New Approach to Study the Evolution of Rossby Wave Packet, ADVANCES IN ATMOSPHERIC SCIENCES, 8, 79-86. doi: 10.1007/BF02657366
[10]	Jiang Guorong, 1996: CISK-related Rossby Waves in the Tropical Atmosphere, ADVANCES IN ATMOSPHERIC SCIENCES, 13, 115-123. doi: 10.1007/BF02657032
[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]	Gao Shouting, 1988: NONLINEAR ROSSBY WAVE INDUCED BY LARGE-SCALE TOPOGRAPHY, ADVANCES IN ATMOSPHERIC SCIENCES, 5, 301-310. doi: 10.1007/BF02656754
[13]	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
[14]	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
[15]	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
[16]	Zhang Xuehong, 1985: THE SECOND ORDER APPROXIMATION TO THE NONLINEAR WAVE IN BAROTROPIC ATMOSPHERE, ADVANCES IN ATMOSPHERIC SCIENCES, 2, 167-177. doi: 10.1007/BF03179749
[17]	Luo Dehai, Ji Liren, 1989: The Role of Topography and Diabatic Heating in the Formation of Dipole Blocking in the Atmosphere, ADVANCES IN ATMOSPHERIC SCIENCES, 6, 173-185. doi: 10.1007/BF02658014
[18]	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
[19]	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
[20]	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

PDF

Get Citation+

Export:

Article Metrics

Article Views: 1464 Times

PDF downloads: 1313 Times

Cited by: Times

Proportional views

Manuscript History

Manuscript received: 10 October 1988

Manuscript revised: 10 October 1988

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

ALGEBRAIC ROSSBY SOLITARY WAVE AND BLOCKING IN THE ATMOSPHERE

Luo Dehai,
Ji Liren

1. Institute of Atmospheric Physics, Aeademia Sinica, Beijing,Institute of Atmospheric Physics, Aeademia Sinica, Beijing

Manuscript received: 1988-10-10
Manuscript revised: 1988-10-10

Abstract: In this paper, the atmosphere is divided into two regions which are governed by different equations. Furthermore, multiple-scale method is used to obtain the Benjamin-Ono equation satisfied by the nonlinear Rossby wave in weak shear zonal flow. The equation has algebraic solitary wave solution, and the sta-tionary streamfunction fields in the atmosphere are calculated by using numerical method, and the results demonstrate that the stationary solution is antisymmetric dipoles with the anticyclone north of the cyclone, and the structure is similar to the equivalent modon obtained by Mcwilliains (1980), Because the modon obtained here is an algebraic solitary wave, the modon may be called “algebraic modon”, and the stationary algebraic modon is consistent with observations of blocking pattern in the atmosphere.