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Volume 6 Issue 1

Jan.  1989

Article Contents

Non-Acceleration Theorem in a Primitive Equation System: I. Acceleration of Zonal Mean Flow


doi: 10.1007/BF02656914

  • Non-acceleration theorem in a primitive equation system is developed to investigate the influences of waves on the mean flow variation against external forcing. Numerical results show that mechanical forcing overwhelms thermal forcing in maintaining the mean flow in which the internal mechanical forcing associated with horizontal eddy flux of momentum plays the most important roles. Both internal forcing and external forcing are shown to be active and at the first place for the mean flow variations, whereas the forcing-induced mean meridional circulation is passive and secondary. It is also shown that the effects on mean flow of external mechanical forcing are concentrated in the lower troposphere, whereas those due to wave-mean flow interaction are more important in the upper troposphere. These act together and result in the vertically easterly shear in low latitudes and westerly shear in mid-latitudes. This verti-cal shear of mean flow is to some extent weakened by thermal forcing.
  • [1] He Jianzhong, 1993: Topography and the Non-linear Rossby Wave in the Zonal Shear Basic Flow, ADVANCES IN ATMOSPHERIC SCIENCES, 10, 233-242.  doi: 10.1007/BF02919146
    [2] CHEN Bomin, JI Liren, YANG Peicai, ZHANG Daomin, 2003: Systematic Errors of Zonal-Mean Flow in Dynamical Monthly Prediction and Its Improvement, ADVANCES IN ATMOSPHERIC SCIENCES, 20, 17-27.  doi: 10.1007/BF03342046
    [3] 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
    [4] 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
    [5] Zeng Qingcun, Lu Peisheng, Li Rongfeng, Yuan Chongguang, 1986: EVOLUTION OF LARGE SCALE DISTURBANCES AND THEIR INTERACTION WITH MEAN FLOW IN A ROTATING BAROTROPIC ATMOSPHERE —PART I, ADVANCES IN ATMOSPHERIC SCIENCES, 3, 39-58.  doi: 10.1007/BF02682551
    [6] Liao Dongxian, 1990: A Regional Spectral Nested Multilevel Primitive Equation Model, ADVANCES IN ATMOSPHERIC SCIENCES, 7, 27-35.  doi: 10.1007/BF02919165
    [7] Zhu Baozhen, Chen Jiabin, Zhang Daomin, Li Zechun, Ge Aifen, 1984: AN OPERATIONAL 5-LAYER PRIMITIVE EQUATION MODEL FOR NORTHERN HEMISPHERE PREDICTION, ADVANCES IN ATMOSPHERIC SCIENCES, 1, 214-233.  doi: 10.1007/BF02678134
    [8] Shen Xinyong, Ni Yunqi, Ding Yihui, 2002: On Problem of Nonlinear Symmetric Instability in Zonal Shear Flow, ADVANCES IN ATMOSPHERIC SCIENCES, 19, 350-364.  doi: 10.1007/s00376-002-0027-7
    [9] Zhao Ping, 1991: The Effects of Zonal Flow on Nonlinear Rossby Waves, ADVANCES IN ATMOSPHERIC SCIENCES, 8, 299-306.  doi: 10.1007/BF02919612
    [10] WANG Mingxing, LIU Qiang, YANG Xin, 2004: A Review of Research on Human Activity Induced Climate Change I. Greenhouse Gases and Aerosols, ADVANCES IN ATMOSPHERIC SCIENCES, 21, 314-321.  doi: 10.1007/BF02915561
    [11] Wu Beiying, John Gille, 1999: Retrieval of Tropospheric CO Profiles Using Correlation Radiometer: I. Retrieval Experiments for a Clear Atmosphere, ADVANCES IN ATMOSPHERIC SCIENCES, 16, 343-354.  doi: 10.1007/s00376-999-0013-4
    [12] A. Bandyopadhyay, 1992: Split-Explicit Integration of Primitive Equation Barotropic Model for the Prediction of Movement of Monsoon Depression, ADVANCES IN ATMOSPHERIC SCIENCES, 9, 83-92.  doi: 10.1007/BF02656933
    [13] M. Y. Totagi, D. R. Talwalkar, S. Rajamani, S. S. Singh, 1992: Analysis-Prediction Experiments over Indian Region Using Primitive Equation Barotropic Model, ADVANCES IN ATMOSPHERIC SCIENCES, 9, 477-482.  doi: 10.1007/BF02677080
    [14] Zeng Qingcun, Zhang Minghua, 2000: Wave-Mean Flow Interaction: the Role of Continuous-Spectrum Disturbances, ADVANCES IN ATMOSPHERIC SCIENCES, 17, 1-17.  doi: 10.1007/s00376-000-0039-0
    [15] Zhu Xun, 1987: ON GRAVITY WAVE-MEAN FLOW INTERACTIONS IN A THREE DIMENSIONAL STRATIFIED ATMOSPHERE, ADVANCES IN ATMOSPHERIC SCIENCES, 4, 287-299.  doi: 10.1007/BF02663599
    [16] Zhong Qing, Chen Jiatian, Sun Zuoling, 2002: Elimination of Computational Systematic Errors and Improvements of Weather and Climate System Models in Relation to Baroclinic Primitive Equations, ADVANCES IN ATMOSPHERIC SCIENCES, 19, 1103-1112.  doi: 10.1007/s00376-002-0068-y
    [17] Chen Jiabin, Wang Jun, 1996: Studies on Non-interpolating Semi-Lagrangian Scheme and Numerical Solution to KdV Equation, ADVANCES IN ATMOSPHERIC SCIENCES, 13, 265-268.  doi: 10.1007/BF02656869
    [18] Fang Zhifang, John M. Wallace, David W. J. Thompson, 2001: The Relationship between the Meridional Profile of Zonal mean Geostrophic Wind and Station Wave at 500 hPa, ADVANCES IN ATMOSPHERIC SCIENCES, 18, 692-700.
    [19] Zhang Tao, Guo Yufu, Wu Guoxiong, 2002: Analysis of the Zonal Mean Atmospheric Climate State in IAP/ LASG GOALS Model Simulations, ADVANCES IN ATMOSPHERIC SCIENCES, 19, 1091-1102.  doi: 10.1007/s00376-002-0067-z
    [20] LI Xiaofeng, LI Jianping, Xiangdong ZHANG, 2013: A Two-way Stratosphere-Troposphere Coupling of Submonthly Zonal-Mean Circulations in the Arctic, ADVANCES IN ATMOSPHERIC SCIENCES, 30, 1771-1785.  doi: 10.1007/s00376-013-2210-4

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Manuscript History

Manuscript received: 10 January 1989
Manuscript revised: 10 January 1989
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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Non-Acceleration Theorem in a Primitive Equation System: I. Acceleration of Zonal Mean Flow

  • 1. Laboratory of Numerical Modelling for Atmospheric Sciences and Geophysical Fluid Dynamics (LASG), Institute of Atmospheric Physics, Academia Sinica, Beijing,Laboratory of Numerical Modelling for Atmospheric Sciences and Geophysical Fluid Dynamics (LASG), Institute of Atmospheric Physics, Academia Sinica, Beijing

Abstract: Non-acceleration theorem in a primitive equation system is developed to investigate the influences of waves on the mean flow variation against external forcing. Numerical results show that mechanical forcing overwhelms thermal forcing in maintaining the mean flow in which the internal mechanical forcing associated with horizontal eddy flux of momentum plays the most important roles. Both internal forcing and external forcing are shown to be active and at the first place for the mean flow variations, whereas the forcing-induced mean meridional circulation is passive and secondary. It is also shown that the effects on mean flow of external mechanical forcing are concentrated in the lower troposphere, whereas those due to wave-mean flow interaction are more important in the upper troposphere. These act together and result in the vertically easterly shear in low latitudes and westerly shear in mid-latitudes. This verti-cal shear of mean flow is to some extent weakened by thermal forcing.

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