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Volume 18 Issue 3

May  2001

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Article >  ADVANCES IN ATMOSPHERIC SCIENCES  > 2001 >  18(3): 323-334

Mechanism of Balanced Flow and Frontogenesis

  • 1.

    Laboratory of Mesoscale Severe Weather, Nanjing University, Nanjing 210093,Laboratory of Mesoscale Severe Weather, Nanjing University, Nanjing 210093


doi: 10.1007/BF02919313

  • The final balanced state of an initial unbalanced flow is discussed with the same method as Vallis (1992). For the two-dimensional, inviscid, rotating and nonlinear model, the final state of the flow depends on the initial conditions. If the initial potential vortcity of the flow is non-uniform, the final state is not necessarily geostrophic. However, for the zero and uniform potential vorticity flow, the final state will satisfy the thermal wind relation when the length scale of the initial disturbance is large enough. Otherwise,discontinuity will occur in the geostrophic solution. In this case, the final balanced state will not be geostrophic any longer and an extended momentum coordinate is introduced to overcome the multi-value problem.
  • [1] Fang Juan, Wu Rongsheng, 2001: Topographic Effect on Geostrophic Adjustment and Frontogenesis, ADVANCES IN ATMOSPHERIC SCIENCES, 18, 524-538.  doi: 10.1007/s00376-001-0042-0
    [2] Majid M. Farahani, Wu Rongsheng, 1998: A Numerical Study of Geostrophic Adjustment and Frontogenesis, ADVANCES IN ATMOSPHERIC SCIENCES, 15, 179-192.  doi: 10.1007/s00376-998-0038-0
    [3] YANG Shuai, GAO Shouting, LU Chungu, 2014: A Generalized Frontogenesis Function and Its Application, ADVANCES IN ATMOSPHERIC SCIENCES, 31, 1065-1078.  doi: 10.1007/s00376-014-3228-y
    [4] Guojing LI, Dongxiao WANG, Changming DONG, Jiayi PAN, Yeqiang SHU, Zhenqiu ZHANG, 2024: Frontogenesis and Frontolysis of a Cold Filament Driven by the Cross-Filament Wind and Wave Fields Simulated by a Large Eddy Simulation, ADVANCES IN ATMOSPHERIC SCIENCES, 41, 509-528.  doi: 10.1007/s00376-023-3037-2
    [5] Fang Juan, Wu Rongsheng, 2002: Energetics of Geostrophic Adjustment in Rotating Flow, ADVANCES IN ATMOSPHERIC SCIENCES, 19, 845-854.  doi: 10.1007/s00376-002-0049-1
    [6] ZHOU Lingli, DU Huiliang, ZHAI Guoqing, WANG Donghai, 2013: Numerical Simulation of the Sudden Rainstorm Associated with the Remnants of Typhoon Meranti (2010), ADVANCES IN ATMOSPHERIC SCIENCES, 30, 1353-1372.  doi: 10.1007/s00376-012-2127-3
    [7] PENG Jiayi, FANG Juan, WU Rongsheng, 2004: Interaction of Mesoscale Convection and Frontogenesis, ADVANCES IN ATMOSPHERIC SCIENCES, 21, 814-823.  doi: 10.1007/BF02916377
    [8] Fang Juan, Wu Rongsheng, 1998: Frontogenesis, Evolution and the Time Scale of Front Formation, ADVANCES IN ATMOSPHERIC SCIENCES, 15, 233-246.  doi: 10.1007/s00376-998-0042-4
    [9] Wang Yunfeng, Wu Rongsheng, Pan Yinong, 2000: Evolution and Frontogenesis of an Imbalanced Flow —the Influence of Vapor Distribution and Orographic Forcing, ADVANCES IN ATMOSPHERIC SCIENCES, 17, 256-274.  doi: 10.1007/s00376-000-0008-7
    [10] Yang Hongwei, Wang Bin, Ji Zhongzhen, 2002: Application of the Artificial Compression Method to the Simulation of Two-Dimensional Frontogenesis, ADVANCES IN ATMOSPHERIC SCIENCES, 19, 863-869.  doi: 10.1007/s00376-002-0051-7
    [11] YANG Shuai, GAO Shouting, Chungu LU, 2015: Investigation of the Mei-yu Front Using a New Deformation Frontogenesis Function, ADVANCES IN ATMOSPHERIC SCIENCES, 32, 635-647.  doi: 10.1007/s00376-014-4147-7
    [12] Zhang Fuqing, Steven E. Koch, Christopher A. Davis, 2000: A survey of Unbalanced Flow Diagnostics and Their Application, ADVANCES IN ATMOSPHERIC SCIENCES, 17, 165-183.  doi: 10.1007/s00376-000-0001-1
    [13] Xu Yinlong, Qian Fenlan, Chen Zhi, Li Shiming, Zhou Mingyu, 2002: Observational Analyses of Baroclinic Boundary Layer Characteristics during One Frontal Winter Snowstorm, ADVANCES IN ATMOSPHERIC SCIENCES, 19, 153-168.  doi: 10.1007/s00376-002-0041-9
    [14] Zipeng YUAN, Xiaoyong ZHUGE, Yuan WANG, 2020: The Forced Secondary Circulation of the Mei-yu Front, ADVANCES IN ATMOSPHERIC SCIENCES, 37, 766-780.  doi: 10.1007/s00376-020-9177-8
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    • Manuscript History

    Manuscript received: 10 May 2001
    Manuscript revised: 10 May 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

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    Mechanism of Balanced Flow and Frontogenesis

    • 1. Laboratory of Mesoscale Severe Weather, Nanjing University, Nanjing 210093,Laboratory of Mesoscale Severe Weather, Nanjing University, Nanjing 210093
    • Manuscript received: 2001-05-10
    • Manuscript revised: 2001-05-10

    Abstract: The final balanced state of an initial unbalanced flow is discussed with the same method as Vallis (1992). For the two-dimensional, inviscid, rotating and nonlinear model, the final state of the flow depends on the initial conditions. If the initial potential vortcity of the flow is non-uniform, the final state is not necessarily geostrophic. However, for the zero and uniform potential vorticity flow, the final state will satisfy the thermal wind relation when the length scale of the initial disturbance is large enough. Otherwise,discontinuity will occur in the geostrophic solution. In this case, the final balanced state will not be geostrophic any longer and an extended momentum coordinate is introduced to overcome the multi-value problem.

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