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Volume 5 Issue 4

Oct.  1988

Article Contents

THE WIND IN THE BAROCLINIC BOUNDARY LAYER WITH THREE SUBLAYERS INCORPORATING THE WEAK NON-LINEAR EFFECT


doi: 10.1007/BF02656793

  • In considering the weak non-linear effect, and using the small parameter expansion method, the analyt-ical expressions of the wind distribution within PBL (planetary boundary layer) and the vertical velocity at the top of the PBL are obtained when the PBL is divided into three layers and different eddy transfer coefficients K are adopted for the three layers. The conditions of barotropy and neutrality for the PBL are extended to that of baroclinity and non-neutral stratification. An example of a steady circular vortex is used to display the characteristics of the horizontal wind within the PBL and the vertical velocity at the top of the PBL. Some new results have been obtained, indicating that the magnitude of the speed in the lower height calculated by the present model is larger than that by the model in which k is a constant within the whole boundary layer, for example, in the classical Ekman boundary layer model and the model by Wu (1984). The angle between the wind at the top of the PBL and the wind near the surface calculated by the present model is less than that calculated by the single K model. These results are in agreement with the observations.
  • [1] Lin Wantao, Ji Zhongzhen, Wang Bin, 2002: A Comparative Analysis of Computational Stability for Linear and Non-Linear Evolution Equations, ADVANCES IN ATMOSPHERIC SCIENCES, 19, 699-704.  doi: 10.1007/s00376-002-0009-9
    [2] Yang Fanglin, 1991: The Stability of Large-Scale Horizontal Air Motion in the Non-linear Basic Zephyr Flow under the Effect of Rossby Parameter, ADVANCES IN ATMOSPHERIC SCIENCES, 8, 149-164.  doi: 10.1007/BF02658091
    [3] 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
    [4] Li Jun, Zhou Fengxian, Zeng Qingcun, 1994: Simultaneous Non-linear Retrieval of Atmospheric Temperature and Absorbing Constituent Profiles from Satellite Infrared Sounder Radiances, ADVANCES IN ATMOSPHERIC SCIENCES, 11, 128-138.  doi: 10.1007/BF02666541
    [5] Liu Qinyu, Qin Zenghao, 1986: DYNAMICS OF NONLINEAR BAROCLINIC EKMAN BOUNDARY LAYER, ADVANCES IN ATMOSPHERIC SCIENCES, 3, 424-431.  doi: 10.1007/BF02657932
    [6] Zhao Ming, Xu Yinzi, Wu Rongsheng, 1989: The Wind Structure in Planetary Boundary Layer, ADVANCES IN ATMOSPHERIC SCIENCES, 6, 365-376.  doi: 10.1007/BF02661542
    [7] LING Jian, LI Chongyin, ZHOU Wen, JIA Xiaolong, Chidong ZHANG, 2013: Effect of Boundary Layer Latent Heating on MJO Simulations, ADVANCES IN ATMOSPHERIC SCIENCES, 30, 101-115.  doi: 10.1007/s00376-012-2031-x
    [8] ZHAI Guoqing, ZHOU Lingli, WANG Zhi, 2007: Analysis of a Group of Weak Small-Scale Vortexes in the Planetary Boundary Layer in the Mei-yu Front, ADVANCES IN ATMOSPHERIC SCIENCES, 24, 399-408.  doi: 10.1007/s00376-007-0399-9
    [9] Tan Zhemin, Wang Yuan, 2002: Wind Structure in an Intermediate Boundary Layer Model Based on Ekman Momentum Approximation, ADVANCES IN ATMOSPHERIC SCIENCES, 19, 266-278.  doi: 10.1007/s00376-002-0021-0
    [10] Lu WANG, Wei QIANG, Haiyun XIA, Tianwen WEI, Jinlong YUAN, Pu JIANG, 2021: Robust Solution for Boundary Layer Height Detections with Coherent Doppler Wind Lidar, ADVANCES IN ATMOSPHERIC SCIENCES, 38, 1920-1928.  doi: 10.1007/s00376-021-1068-0
    [11] TANG Xiaodong, TAN Zhemin, 2006: Boundary-Layer Wind Structure in a Landfalling Tropical Cyclone, ADVANCES IN ATMOSPHERIC SCIENCES, 23, 737-749.  doi: 10.1007/s00376-006-0737-3
    [12] Li Yang, 2000: Baroclinic Instability in the Generalized Phillips’ Model Part II: Three-layer Model, ADVANCES IN ATMOSPHERIC SCIENCES, 17, 413-432.  doi: 10.1007/s00376-000-0033-6
    [13] Hongxiong XU, Dajun ZHAO, 2021: Effect of the Vertical Diffusion of Moisture in the Planetary Boundary Layer on an Idealized Tropical Cyclone, ADVANCES IN ATMOSPHERIC SCIENCES, 38, 1889-1904.  doi: 10.1007/s00376-021-1016-z
    [14] Hongxiong Xu, Dajun Zhao, 2023: Effect of the vertical diffusion of moisture in the planetary boundary layer on an idealized tropical cyclone, ADVANCES IN ATMOSPHERIC SCIENCES.  doi: 
    [15] 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
    [16] Jiang Weimei, Wang Xuemei, 1996: A 2-D Non-local Closure Model for Atmospheric Boundary Layer Simulations, ADVANCES IN ATMOSPHERIC SCIENCES, 13, 169-182.  doi: 10.1007/BF02656860
    [17] Chao LIU, Li FU, Dan YANG, David R. MILLER, Junming WANG, 2020: Non-Gaussian Lagrangian Stochastic Model for Wind Field Simulation in the Surface Layer, ADVANCES IN ATMOSPHERIC SCIENCES, 37, 90-104.  doi: 10.1007/s00376-019-9052-7
    [18] Al-Jiboori M. H., Xu Yumao, Qian Yongfu, 2000: Local Similarity Relationships of Non-Dimensional Wind and Temperature Gradient in the Tower-Layer Atmosphere over Beijing City, ADVANCES IN ATMOSPHERIC SCIENCES, 17, 636-648.  doi: 10.1007/s00376-000-0025-6
    [19] HAN Bo, ZHAO Cailing, LÜ Shihua, WANG Xin, 2015: A Diagnostic Analysis on the Effect of the Residual Layer in Convective Boundary Layer Development near Mongolia Using 20th Century Reanalysis Data, ADVANCES IN ATMOSPHERIC SCIENCES, 32, 807-820.  doi: 10.1007/s00376-014-4164-6
    [20] He Jianzhong, 1993: Linear Momentum Approximation and Frontogenesis Caused by Baroclinic Ekman Momentum Flow, ADVANCES IN ATMOSPHERIC SCIENCES, 10, 103-112.  doi: 10.1007/BF02656958

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Manuscript History

Manuscript received: 10 October 1988
Manuscript revised: 10 October 1988
通讯作者: 陈斌, bchen63@163.com
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THE WIND IN THE BAROCLINIC BOUNDARY LAYER WITH THREE SUBLAYERS INCORPORATING THE WEAK NON-LINEAR EFFECT

  • 1. Department of Atmospheric Sciences, Nanjing University, Nanjing

Abstract: In considering the weak non-linear effect, and using the small parameter expansion method, the analyt-ical expressions of the wind distribution within PBL (planetary boundary layer) and the vertical velocity at the top of the PBL are obtained when the PBL is divided into three layers and different eddy transfer coefficients K are adopted for the three layers. The conditions of barotropy and neutrality for the PBL are extended to that of baroclinity and non-neutral stratification. An example of a steady circular vortex is used to display the characteristics of the horizontal wind within the PBL and the vertical velocity at the top of the PBL. Some new results have been obtained, indicating that the magnitude of the speed in the lower height calculated by the present model is larger than that by the model in which k is a constant within the whole boundary layer, for example, in the classical Ekman boundary layer model and the model by Wu (1984). The angle between the wind at the top of the PBL and the wind near the surface calculated by the present model is less than that calculated by the single K model. These results are in agreement with the observations.

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