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Volume 4 Issue 2

Apr.  1987

Article Contents

ON THE PARAMETERIZATION OF THE VERTICAL VELOCITY AT THE TOP OF PLANETARY BOUNDARY LAYER


doi: 10.1007/BF02677070

  • In this paper, an equation of the vertical velocity at the top of PBL is derived by use of a PBL model which is based on an analytic and actual form of K. Results show that the vertical velocity is a function of geostrophic vorticity, geostrophic wind speed, Coriolis parameter and the roughness of the ground, thus improving Charney-Eliassen’s formula. The order of magnitude of the vertical velocity computed from our equation is in agreement with that from the latter, but more factors affecting the vertical velocity are included.
  • [1] 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
    [2] 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: 
    [3] Meiying DONG, Chunxiao JI, Feng CHEN, Yuqing WANG, 2019: Numerical Study of Boundary Layer Structure and Rainfall after Landfall of Typhoon Fitow (2013): Sensitivity to Planetary Boundary Layer Parameterization, ADVANCES IN ATMOSPHERIC SCIENCES, 36, 431-450.  doi: 10.1007/s00376-018-7281-9
    [4] 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
    [5] Rui WANG, Yiting ZHU, Fengxue QIAO, Xin-Zhong LIANG, Han ZHANG, Yang DING, 2021: High-resolution Simulation of an Extreme Heavy Rainfall Event in Shanghai Using the Weather Research and Forecasting Model: Sensitivity to Planetary Boundary Layer Parameterization, ADVANCES IN ATMOSPHERIC SCIENCES, 38, 98-115.  doi: 10.1007/s00376-020-9255-y
    [6] SUN Jianning, JIANG Weimei, CHEN Ziyun, YUAN Renmin, 2005: A Laboratory Study of the Turbulent Velocity Characteristics in the Convective Boundary Layer, ADVANCES IN ATMOSPHERIC SCIENCES, 22, 770-780.  doi: 10.1007/BF02918721
    [7] Liu Shikuo, Huang Wei, Rong Pingping, 1992: Effects of Turbulent Dispersion of Atmospheric Balance Motions of Planetary Boundary Layer, ADVANCES IN ATMOSPHERIC SCIENCES, 9, 147-156.  doi: 10.1007/BF02657505
    [8] Xu Liren, Zhao Ming, 2000: The Influences of Boundary Layer Parameterization Schemes on Mesoscale Heavy Rain System, ADVANCES IN ATMOSPHERIC SCIENCES, 17, 458-472.  doi: 10.1007/s00376-000-0036-3
    [9] Fei Jianfang, Zhang Ming, Lu Hancheng, Yang Guoxiang, 1992: A Fine-Mesh Numerical Model with Detailed Boundary Layer Parameterization, ADVANCES IN ATMOSPHERIC SCIENCES, 9, 465-476.  doi: 10.1007/BF02677079
    [10] LI Pingyang, JIANG Weimei, SUN Jianning, YUAN Renmin, 2003: A Laboratory Modeling of the Velocity Field in the Convective Boundary Layer with the Particle Image Velocimetry Technique, ADVANCES IN ATMOSPHERIC SCIENCES, 20, 631-637.  doi: 10.1007/BF02915506
    [11] MA Yaoming, Massimo MENENTI, Reinder FEDDES, 2010: Parameterization of Heat Fluxes at Heterogeneous Surfaces by Integrating Satellite Measurements with Surface Layer and Atmospheric Boundary Layer Observations, ADVANCES IN ATMOSPHERIC SCIENCES, 27, 328-336.  doi: 10.1007/s00376-009-9024-4
    [12] Jun ZOU, Jianning SUN, Aijun DING, Minghuai WANG, Weidong GUO, Congbin FU, 2017: Observation-based Estimation of Aerosol-induced Reduction of Planetary Boundary Layer Height, ADVANCES IN ATMOSPHERIC SCIENCES, 34, 1057-1068.  doi: 10.1007/s00376-016-6259-8
    [13] Yidan SI, Shenshen LI, Liangfu CHEN, Chao YU, Zifeng WANG, Yang WANG, Hongmei WANG, 2018: Validation and Spatiotemporal Distribution of GEOS-5-Based Planetary Boundary Layer Height and Relative Humidity in China, ADVANCES IN ATMOSPHERIC SCIENCES, 35, 479-492.  doi: 10.1007/s00376-017-6275-3
    [14] 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
    [15] Hu Yinqiao, Su Congxian, Ge Zhengmo, 1988: A TWO-DIMENSIONAL AND STEADY-STATE NUMERICAL MODEL OF THE PLANETARY BOUNDARY LAYER, ADVANCES IN ATMOSPHERIC SCIENCES, 5, 523-534.  doi: 10.1007/BF02656796
    [16] 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
    [17] Shuang WU, Guiqian TANG, Yinghong WANG, Rong MAI, Dan YAO, Yanyu KANG, Qinglu WANG, Yuesi WANG, 2021: Vertical Evolution of Boundary Layer Volatile Organic Compounds in Summer over the North China Plain and the Differences with Winter, ADVANCES IN ATMOSPHERIC SCIENCES, 38, 1165-1176.  doi: 10.1007/s00376-020-0254-9
    [18] Yu SHI, Qingcun ZENG, Fei HU, Weichen DING, Zhe ZHANG, Kang ZHANG, Lei LIU, 2023: Different Turbulent Regimes and Vertical Turbulence Structures of the Urban Nocturnal Stable Boundary Layer, ADVANCES IN ATMOSPHERIC SCIENCES, 40, 1089-1103.  doi: 10.1007/s00376-022-2198-8
    [19] Li Xingsheng, Yang Shuowen, 1986: A MODEL STUDY OF THE NOCTURNAL BOUNDARY LAYER, ADVANCES IN ATMOSPHERIC SCIENCES, 3, 59-71.  doi: 10.1007/BF02680045
    [20] Lin Naishi, Zhou Zugang, Zhou Liufei, 1998: An Analytical Study on the Urban Boundary Layer, ADVANCES IN ATMOSPHERIC SCIENCES, 15, 258-266.  doi: 10.1007/s00376-998-0044-2

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Manuscript History

Manuscript received: 10 April 1987
Manuscript revised: 10 April 1987
通讯作者: 陈斌, bchen63@163.com
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ON THE PARAMETERIZATION OF THE VERTICAL VELOCITY AT THE TOP OF PLANETARY BOUNDARY LAYER

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

Abstract: In this paper, an equation of the vertical velocity at the top of PBL is derived by use of a PBL model which is based on an analytic and actual form of K. Results show that the vertical velocity is a function of geostrophic vorticity, geostrophic wind speed, Coriolis parameter and the roughness of the ground, thus improving Charney-Eliassen’s formula. The order of magnitude of the vertical velocity computed from our equation is in agreement with that from the latter, but more factors affecting the vertical velocity are included.

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