Interaction between a Slowly Moving Planetary-Scale Dipole Envelope Rossby Soliton and a Wavenumber-Two Topography in a Forced Higher Order Nonlinear Schr dinger Equation

Luo Dehai; Li Jianping

doi:10.1007/s00376-001-0017-1

Impact Factor: 5.8

Volume 18 Issue 2

Mar. 2001

Article Contents

Article > ADVANCES IN ATMOSPHERIC SCIENCES > 2001 > 18(2): 239-256

Interaction between a Slowly Moving Planetary-Scale Dipole Envelope Rossby Soliton and a Wavenumber-Two Topography in a Forced Higher Order Nonlinear Schr dinger Equation

1.
Department of Atmospheric and Oceanic Sciences, Ocean University of Qingdao, Key Laboratory of Marine Science and Numerical Modeling, State Oceanic Administration, Qingdao 266003,LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029

doi: 10.1007/s00376-001-0017-1

Abstract
References
Related papers
PDF

Abstract:
A parametrically excited higher-order nonlinear Schr dinger (NLS) equation is derived to describe the interaction of a ,slowly moving planetary-scale envelope Rossby soliton for zonal wavenumber-two with a wavenumber-two topography under the LG-type dipole near-resonant condition. The numerical solution of this equation is made. It is found that in a weak background westerly wind satisfying the LG-type dipole near-resonance condition, when an incipient envelope Rossby soliton is located in the topographic trough and propagates slowly, it can be amplified through the near-resonant forcing of wavenumber-two topography and can exhibit an oscillation.However, this soliton can break up after a long time and excite a train of small amplitude waves that propagate westward. In addition, it is observed that in the soliton-topography interaction the topographically near-resonantly forced planetary-scale soliton has a slowly westward propagation, but a slowly eastward propagation after a certain time. The instantaneous total streamfunction fields of the topographically forced planetary-scale soliton are found to bear remarkable resemblance to the initiation, maintenance and decay of observed omega-type blocking high and dipole blocking. The soliton perturbation theory is used to examine the role of a wavenumber-two topography in near-resonantly forcing omega-type blocking high and dipole blocking. It can be shown that in the amplifying process of forced planetary-scale soliton, due to the inclusion of the higher order terms its group velocity gradually tends to be equal to its phase velocity so that the block envelope and carrier wave can be phase-locked at a certain time.This shows that the initiation of blocking is a transfer of amplified envelope soliton system from dispersion to nondispersion. However, there exists a reverse process during the decay of blocking. It appears that in the higher latitude regions, the planetary-scale envelope soliton-topography interaction could be regarded as a possible mechanism of the establishment of blocking.
- Planetary-scale envelope Rossby soliton,
- Soliton-topography interaction,
- Blocking high
References

[1]	LUO Xia, FEI Jianfang, HUANG Xiaogang, CHENG Xiaoping, YU Kun, 2015: Remote Impact of Blocking Highs on the Sudden Track Reversal of Tropical Cyclones, ADVANCES IN ATMOSPHERIC SCIENCES, 32, 1517-1532. doi: 10.1007/s00376-015-4284-7
[2]	Lu Riyu, Huang Ronghui, 1996: Numerical Simulation of the Effect of the SST Anomalies in the Tropical Western Pacific on the Blocking Highs over the Northeastern Asia, ADVANCES IN ATMOSPHERIC SCIENCES, 13, 411-424. doi: 10.1007/BF03342034
[3]	Yihui DING, Yunyun LIU, Zeng-Zhen HU, 2021: The Record-breaking Mei-yu in 2020 and Associated Atmospheric Circulation and Tropical SST Anomalies, ADVANCES IN ATMOSPHERIC SCIENCES, 38, 1980-1993. doi: 10.1007/s00376-021-0361-2
[4]	LUO Dehai, LIU Jinting, LI Jianping, 2010: Interaction between Planetary-Scale Diffluent Flow and Synoptic-Scale Waves During the Life Cycle of Blocking, ADVANCES IN ATMOSPHERIC SCIENCES, 27, 807-831. doi: 10.1007/s00376-009-9074-7
[5]	Zhu Zhengxin, 1985: EQUILIBRIUM STATES OF PLANETARY WAVES FORCED BY TOPOGRAPHY AND PERTURBATION HEATING AND BLOCKING SITUATION, ADVANCES IN ATMOSPHERIC SCIENCES, 2, 359-367. doi: 10.1007/BF02677252
[6]	Yong. L. McHall, 1992: Nonlinear Planetary Wave Instability and Blocking, ADVANCES IN ATMOSPHERIC SCIENCES, 9, 173-190. doi: 10.1007/BF02657508
[7]	Zhang Ren, 1996: Characteristics of Soliton with Dynamic Constraints on its Existence / Propagation in Tropical Easterly Wave, ADVANCES IN ATMOSPHERIC SCIENCES, 13, 325-339. doi: 10.1007/BF02656850
[8]	Gao Shouting, 1988: NONLINEAR ROSSBY WAVE INDUCED BY LARGE-SCALE TOPOGRAPHY, ADVANCES IN ATMOSPHERIC SCIENCES, 5, 301-310. doi: 10.1007/BF02656754
[9]	Li Maicun, 1987: ON THE LOW-FREQUENCY, PLANETARY-SCALE MOTION IN THE TROPICAL ATMOSPHERE AND OCEANS, ADVANCES IN ATMOSPHERIC SCIENCES, 4, 249-263. doi: 10.1007/BF02663596
[10]	Li Guoqing, Robin Kung, Richard L. Pfeffer, 1993: Some Effects of Rotation Rate on Planetary-Scale Wave Flows, ADVANCES IN ATMOSPHERIC SCIENCES, 10, 296-306. doi: 10.1007/BF02658135
[11]	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
[12]	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
[13]	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
[14]	He Jinhai, Zhou Xueming, Ye Rongsheng, 1995: Numerical Study of Ural Blocking High’s Effect Upon Asian Summer Monsoon Circulation and East China Flood and Drought, ADVANCES IN ATMOSPHERIC SCIENCES, 12, 361-370. doi: 10.1007/BF02656985
[15]	Dehai LUO, Binhe LUO, Wenqi ZHANG, 2023: A Perspective on the Evolution of Atmospheric Blocking Theories: From Eddy-Mean flow Interaction to Nonlinear Multiscale Interaction, ADVANCES IN ATMOSPHERIC SCIENCES, 40, 553-569. doi: 10.1007/s00376-022-2194-z
[16]	Guanshun ZHANG, Jiangyu MAO, Wei HUA, Xiaofei WU, Ruizao SUN, Ziyu YAN, Yimin LIU, Guoxiong WU, 2023: Synergistic Effect of the Planetary-scale Disturbance, Typhoon and Meso-β-scale Convective Vortex on the Extremely Intense Rainstorm on 20 July 2021 in Zhengzhou, ADVANCES IN ATMOSPHERIC SCIENCES, 40, 428-446. doi: 10.1007/s00376-022-2189-9
[17]	Luo Dehai, Li Jianping, 2000: Barotropic Interaction between Planetary- and Synoptic-Scale Waves during the Life Cycles of Blockings, ADVANCES IN ATMOSPHERIC SCIENCES, 17, 649-670. doi: 10.1007/s00376-000-0026-5
[18]	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
[19]	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
[20]	Debashis NATH, Wen CHEN, 2016: Impact of Planetary Wave Reflection on Tropospheric Blocking over the Urals-Siberia Region in January 2008, ADVANCES IN ATMOSPHERIC SCIENCES, 33, 309-318. doi: 10.1007/s00376-015-5052-4

PDF

Get Citation+

Export:

Article Metrics

Article Views: 1441 Times

PDF downloads: 1278 Times

Cited by: Times

Proportional views

Manuscript History

Manuscript received: 10 March 2001

Manuscript revised: 10 March 2001

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

Interaction between a Slowly Moving Planetary-Scale Dipole Envelope Rossby Soliton and a Wavenumber-Two Topography in a Forced Higher Order Nonlinear Schr dinger Equation

1. Department of Atmospheric and Oceanic Sciences, Ocean University of Qingdao, Key Laboratory of Marine Science and Numerical Modeling, State Oceanic Administration, Qingdao 266003,LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029

Manuscript received: 2001-03-10
Manuscript revised: 2001-03-10

Abstract: A parametrically excited higher-order nonlinear Schr dinger (NLS) equation is derived to describe the interaction of a ,slowly moving planetary-scale envelope Rossby soliton for zonal wavenumber-two with a wavenumber-two topography under the LG-type dipole near-resonant condition. The numerical solution of this equation is made. It is found that in a weak background westerly wind satisfying the LG-type dipole near-resonance condition, when an incipient envelope Rossby soliton is located in the topographic trough and propagates slowly, it can be amplified through the near-resonant forcing of wavenumber-two topography and can exhibit an oscillation.However, this soliton can break up after a long time and excite a train of small amplitude waves that propagate westward. In addition, it is observed that in the soliton-topography interaction the topographically near-resonantly forced planetary-scale soliton has a slowly westward propagation, but a slowly eastward propagation after a certain time. The instantaneous total streamfunction fields of the topographically forced planetary-scale soliton are found to bear remarkable resemblance to the initiation, maintenance and decay of observed omega-type blocking high and dipole blocking. The soliton perturbation theory is used to examine the role of a wavenumber-two topography in near-resonantly forcing omega-type blocking high and dipole blocking. It can be shown that in the amplifying process of forced planetary-scale soliton, due to the inclusion of the higher order terms its group velocity gradually tends to be equal to its phase velocity so that the block envelope and carrier wave can be phase-locked at a certain time.This shows that the initiation of blocking is a transfer of amplified envelope soliton system from dispersion to nondispersion. However, there exists a reverse process during the decay of blocking. It appears that in the higher latitude regions, the planetary-scale envelope soliton-topography interaction could be regarded as a possible mechanism of the establishment of blocking.

Keywords: