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The Generalized Energy Equation and Instability in the Two-layer Barotropic Vortex


doi: 10.1007/s00376-007-0147-1

  • The linear two-layer barotropic primitive equations in cylindrical coordinates are used to derive a generalized energy equation, which is subsequently applied to explain the instability of the spiral wave in the model. In the two-layer model, there are not only the generalized barotropic instability and the super high-speed instability, but also some other new instabilities, which fall into the range of the Kelvin-Helmholtz instability and the generalized baroclinic instability, when the upper and lower basic flows are different. They are perhaps the mechanisms of the generation of spiral cloud bands in tropical cyclones as well.
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    [2] Su Jeong LEE, Myoung-Hwan AHN, Yeonjin LEE, 2016: Application of an Artificial Neural Network for a Direct Estimation of Atmospheric Instability from a Next-Generation Imager, ADVANCES IN ATMOSPHERIC SCIENCES, 33, 221-232.  doi: 10.1007/s00376-015-5084-9
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    [10] HUANG Hong, JIANG Yongqiang, CHEN Zhongyi, LUO Jian, WANG Xuezhong, 2014: Effect of Tropical Cyclone Intensity and Instability on the Evolution of Spiral Bands, ADVANCES IN ATMOSPHERIC SCIENCES, 31, 1090-1100.  doi: 10.1007/s00376-014-3108-5
    [11] ZHONG Wei, LU Han-Cheng, Da-Lin ZHANG, 2010: Mesoscale Barotropic Instability of Vortex Rossby Waves in Tropical Cyclones, ADVANCES IN ATMOSPHERIC SCIENCES, 27, 243-252.  doi: 10.1007/s00376-009-8183-7
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Manuscript History

Manuscript received: 10 January 2007
Manuscript revised: 10 January 2007
通讯作者: 陈斌, bchen63@163.com
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    沈阳化工大学材料科学与工程学院 沈阳 110142

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The Generalized Energy Equation and Instability in the Two-layer Barotropic Vortex

  • 1. The Laboratory of Atmospheric Circulation and Short-range Climatological Forecasting, Institute of Meteorology, PLA University of Science and Technology, Nanjing 211101,The Laboratory of Atmospheric Circulation and Short-range Climatological Forecasting, Institute of Meteorology, PLA University of Science and Technology, Nanjing 211101,The Laboratory of Atmospheric Circulation and Short-range Climatological Forecasting, Institute of Meteorology, PLA University of Science and Technology, Nanjing 211101,The Laboratory of Atmospheric Circulation and Short-range Climatological Forecasting, Institute of Meteorology, PLA University of Science and Technology, Nanjing 211101

Abstract: The linear two-layer barotropic primitive equations in cylindrical coordinates are used to derive a generalized energy equation, which is subsequently applied to explain the instability of the spiral wave in the model. In the two-layer model, there are not only the generalized barotropic instability and the super high-speed instability, but also some other new instabilities, which fall into the range of the Kelvin-Helmholtz instability and the generalized baroclinic instability, when the upper and lower basic flows are different. They are perhaps the mechanisms of the generation of spiral cloud bands in tropical cyclones as well.

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