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Volume 10 Issue 3

Jul.  1993

Article Contents
Article >  ADVANCES IN ATMOSPHERIC SCIENCES  > 1993 >  10(3): 273-286

Energetics Constraint for Linear Disturbances Development

  • 1.

    Department of Earth Atmospheric and Planetary Sciences, MIT, MA 02139, USA


doi: 10.1007/BF02658133

  • In development of baroclinic disturbances, baroclinity of basic temperature field varies with conversion of avail-able potential energy. The growth rate which depends on the baroclinity varies as well. However, in previous linear theories, the growth rate was considered constant, so development of disturbances was not constrained by energy sources in the linear theories, In terms of energy conservation and conversion in an isolated atmosphere, we may study the variations in the baroclinity and growth rate and draw the corresponding pictures of perturbation develop-ments in the varying environments. The amplification for the most unstable Eady wave is discussed as an example. It will be found that growth of baroclinic perturbations constrained by energy conservation is significantly different from the growth at the initial constant rate after mature stage.
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    [2] Xiaofan Li, Han-Ru Cho, 1997: Development and Propagation of Equatorial Waves, ADVANCES IN ATMOSPHERIC SCIENCES, 14, 323-338.  doi: 10.1007/s00376-997-0053-6
    [3] Wang Xingbao, Wu Rongsheng, 1999: Interaction of Orographic Disturbance with Front, ADVANCES IN ATMOSPHERIC SCIENCES, 16, 467-481.  doi: 10.1007/s00376-999-0024-1
    [4] LI Yuefeng, 2007: Conversion of Kinetic Energy from Synoptic Scale Disturbance to Low-Frequency Fluctuation over the Yangtze River Valley in the Summers of 1997 and 1999, ADVANCES IN ATMOSPHERIC SCIENCES, 24, 591-598.  doi: 10.1007/s00376-007-0591-y
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    [6] Xu Jianjun, 1993: Quasi-40-Day Oscillation and Its Teleconnection Struc-ture together with the Possible Dependence on Conversion of Barotropic Unstable Energy of Temporal Mean Flow, ADVANCES IN ATMOSPHERIC SCIENCES, 10, 193-200.  doi: 10.1007/BF02919141
    [7] 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
    [8] Zheng Xingyu, Zeng Qingcun, Huang Ronghui, 1991: The Propagation of Inertia-Gravity Waves and Their Influence on Mean Zonal Flow, Part One: the Propagation of Inertia-Gravity Waves, ADVANCES IN ATMOSPHERIC SCIENCES, 8, 431-446.  doi: 10.1007/BF02919266
    [9] Zhang Renhe, Chao Jiping, 1993: Unstable Tropical Air-Sea Interaction Waves and Their Physical Mechanisms, ADVANCES IN ATMOSPHERIC SCIENCES, 10, 61-70.  doi: 10.1007/BF02656954
    [10] KE Zongjian, DONG Wenjie, ZHANG Peiqun, WANG Jin, ZHAO Tianbao, 2009: An Analysis of the Difference between the Multiple Linear Regression Approach and the Multimodel Ensemble Mean, ADVANCES IN ATMOSPHERIC SCIENCES, 26, 1157-1168.  doi: 10.1007/s00376-009-8024-8
    [11] CHEN Hua*, 2015: Downstream Development of Baroclinic Waves in the Midlatitude Jet Induced by Extratropical Transition: A Case Study, ADVANCES IN ATMOSPHERIC SCIENCES, 32, 528-540.  doi: 10.1007/s00376-014-3263-8
    [12] Chao Jiping, Ji Zhengang, 1985: ON THE INFLUENCES OF LARGE-SCALE INHOMOGENEITY OF SEA TEMPERATURE UPON THE OCEANIC WAVES IN THE TROPICAL REGIONS——PART I : LINEAR THEORETICAL ANALYSIS, ADVANCES IN ATMOSPHERIC SCIENCES, 2, 295-306.  doi: 10.1007/BF02677245
    [13] Ji Zhengang, Chao Jiping, 1986: ON THE INFLUENCES OF LARGE-SCALE INHOMOGENEITY OF SEA TEMPERATURE UPON THE OCEANIC WAVES IN THE TROPICAL REGIONS PART II: LINEAR NUMERICAL EXPERIMENTS, ADVANCES IN ATMOSPHERIC SCIENCES, 3, 238-244.  doi: 10.1007/BF02682557
    [14] Zhu Keyun, 2001: On the 4D Variational Data Assimilation with Constraint Conditions, ADVANCES IN ATMOSPHERIC SCIENCES, 18, 1131-1145.  doi: 10.1007/s00376-001-0028-y
    [15] Qiu Jinhuan, 1999: Constraint Inversion Algorithm of Lidar Equation for Deriving Aerosol Optical Property, ADVANCES IN ATMOSPHERIC SCIENCES, 16, 216-228.  doi: 10.1007/BF02973083
    [16] Zheng Xingyu, Zeng Qingcun, Huang Ronghui, 1992: The Propagation of Inertia-Gravity Waves and Their Influence on Zonal Mean Flow Part Two: Wave Breaking and Critical Levels, ADVANCES IN ATMOSPHERIC SCIENCES, 9, 29-36.  doi: 10.1007/BF02656927
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    [19] 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
    [20] Liu Xuanfei, Zhu Qiangen, Guo Pinwen, 2000: Conversion Characteristics between Barotropic and Baroclinic Circulations of the SAH in Its Seasonal Evolution, ADVANCES IN ATMOSPHERIC SCIENCES, 17, 129-139.  doi: 10.1007/s00376-000-0049-y
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    • Manuscript History

    Manuscript received: 10 July 1993
    Manuscript revised: 10 July 1993
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    • 1. 

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    Energetics Constraint for Linear Disturbances Development

    • 1. Department of Earth Atmospheric and Planetary Sciences, MIT, MA 02139, USA
    • Manuscript received: 1993-07-10
    • Manuscript revised: 1993-07-10

    Abstract: In development of baroclinic disturbances, baroclinity of basic temperature field varies with conversion of avail-able potential energy. The growth rate which depends on the baroclinity varies as well. However, in previous linear theories, the growth rate was considered constant, so development of disturbances was not constrained by energy sources in the linear theories, In terms of energy conservation and conversion in an isolated atmosphere, we may study the variations in the baroclinity and growth rate and draw the corresponding pictures of perturbation develop-ments in the varying environments. The amplification for the most unstable Eady wave is discussed as an example. It will be found that growth of baroclinic perturbations constrained by energy conservation is significantly different from the growth at the initial constant rate after mature stage.

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