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Volume 23 Issue 4

Jul.  2006

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Article >  ADVANCES IN ATMOSPHERIC SCIENCES  > 2006 >  23(4): 504-512

Shearing Wind Helicity and Thermal Wind Helicity

  • 1.

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


doi: 10.1007/s00376-006-0504-5

  • Helicity is defined as H = V · !, where V and ! are the velocity and vorticity vectors, respectively. Many works have pointed out that the larger the helicity is, the longer the life cycle of the weather system is. However, the direct relationship of the helicity to the evolution of the weather system is not quite clear. In this paper, the concept of helicity is generalized as shearing wind helicity (SWH). Dynamically, it is found that the average SWH is directly related to the increase of the average cyclonic rotation of the weather system. Physically, it is also pointed out that the SWH, as a matter of fact, is the sum of the torsion terms and the divergence term in the vorticity equation. Thermal wind helicity (TWH), as a derivative of SWH, is also discussed here because it links the temperature field and the vertical wind field. These two quantities may be effective for diagnosing a weather system. This paper applies these two quantities in cylindrical coordinates to study the development of Hurricane Andrew to validate their practical use. Through analyzing the hurricane, it is found that TWH can well describe the characteristics of the hurricane such as the strong convection and release of latent heat. SWH is not only a good quantity for diagnosing the weather system, but also an effective one for diagnosing the development of the hurricane.
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    [2] Fei Shiqiang, Tan Zhemin, 2001: On the Helicity Dynamics of Severe Convective Storms, ADVANCES IN ATMOSPHERIC SCIENCES, 18, 67-86.  doi: 10.1007/s00376-001-0005-5
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    [5] Jianjun LIU, Feimin ZHANG, Zhaoxia PU, 2017: Numerical Simulation of the Rapid Intensification of Hurricane Katrina (2005): Sensitivity to Boundary Layer Parameterization Schemes, ADVANCES IN ATMOSPHERIC SCIENCES, 34, 482-496.  doi: 10.1007/s00376-016-6209-5
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    [11] Tong ZHU, Da-Lin ZHANG, 2006: The Impact of the Storm-Induced SST Cooling on Hurricane Intensity, ADVANCES IN ATMOSPHERIC SCIENCES, 23, 14-22.  doi: 10.1007/s00376-006-0002-9
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    • Manuscript History

    Manuscript received: 10 July 2006
    Manuscript revised: 10 July 2006
    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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    Shearing Wind Helicity and Thermal Wind Helicity

    • 1. The Key Laboratory of Mesoscale Severe Weather, Nanjing University, Nanjing 210093,The Key Laboratory of Mesoscale Severe Weather, Nanjing University, Nanjing 210093,The Key Laboratory of Mesoscale Severe Weather, Nanjing University, Nanjing 210093
    • Manuscript received: 2006-07-10
    • Manuscript revised: 2006-07-10

    Abstract: Helicity is defined as H = V · !, where V and ! are the velocity and vorticity vectors, respectively. Many works have pointed out that the larger the helicity is, the longer the life cycle of the weather system is. However, the direct relationship of the helicity to the evolution of the weather system is not quite clear. In this paper, the concept of helicity is generalized as shearing wind helicity (SWH). Dynamically, it is found that the average SWH is directly related to the increase of the average cyclonic rotation of the weather system. Physically, it is also pointed out that the SWH, as a matter of fact, is the sum of the torsion terms and the divergence term in the vorticity equation. Thermal wind helicity (TWH), as a derivative of SWH, is also discussed here because it links the temperature field and the vertical wind field. These two quantities may be effective for diagnosing a weather system. This paper applies these two quantities in cylindrical coordinates to study the development of Hurricane Andrew to validate their practical use. Through analyzing the hurricane, it is found that TWH can well describe the characteristics of the hurricane such as the strong convection and release of latent heat. SWH is not only a good quantity for diagnosing the weather system, but also an effective one for diagnosing the development of the hurricane.

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