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Volume 22 Issue 1

Jan.  2005

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Article >  ADVANCES IN ATMOSPHERIC SCIENCES  > 2005 >  22(1): 90-102

An Improved Method for Doppler Wind and Thermodynamic Retrievals

  • 1.

    College of Atmosphereic Sciences, Lanzhou University, Lanzhou, Gansu 730000;Cooperative Institute for Mesoscale Meteorological Studies, Norman, Oklahoma, USA 73069,College of Atmosphereic Sciences, Lanzhou University, Lanzhou, Gansu 730000,National Severe Storms Laboratory, Norman, Oklahoma, USA 73069,Cooperative Institute for Mesoscale Meteorological Studies, Norman, Oklahoma, USA 73069,Center for Analysis and Prediction of Storms, Norman, Oklahoma, USA 73069,College of Atmosphereic Sciences, Lanzhou University, Lanzhou, Gansu 730000


doi: 10.1007/BF02930872

  • A variational method is developed to retrieve winds in the first step and then thermodynamic fields in the second step from Doppler radar observations. In the first step, wind fields are retrieved at two time levels: the beginning and ending times of the data assimilation period, simultaneously from two successive volume scans by using the weak form constraints provided by the mass continuity and vorticity equations.As the retrieved wind fields are expressed by Legendre polynomial expansions at the beginning and ending times, the time tendency term in the vorticity equation can be conveniently formulated, and the retrieved winds can be compared with the radar observed radial winds in the cost function at the precise time and position of each radar beam. In the second step, the perturbation pressure and temperature fields at the middle time are then derived from the retrieved wind fields and the velocity time tendency by using the weak form constraints provided by the three momentum equations. The merits of the new method are demonstrated by numerical experiments with simulated radar observations and compared with the traditional least squares methods which consider neither the precise observation times and positions nor the velocity time tendency. The new method is also applied to real radar data for a heavy rainfall event during the 2001 Meiyu season in China.
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    [2] Wu Guoxiong, Wang Huijun, 2002: A Response to the Letter of Da-Lin Zhang, ADVANCES IN ATMOSPHERIC SCIENCES, 19, 765-766.  doi: 10.1007/s00376-002-0015-y
    [3] ZHAO Chunsheng, Yutaka ISHIZAKA, WU Guoxiong, WANG Huijun, Da-Lin ZHANG, 2004: Retraction:Modeling Marine Stratocumulus with a Detailed Microphysical Scheme, ADVANCES IN ATMOSPHERIC SCIENCES, 21, 382-382.  doi: 10.1007/BF03342548
    [4] Tang Maocang, Li Tianshi, Zhang Jian, Li Cunqiang, 1989: The Operational Forecasting of Total Precipitation in Flood Seasons (April to September) of 5 Years (1983-1987), ADVANCES IN ATMOSPHERIC SCIENCES, 6, 289-300.  doi: 10.1007/BF02661535
    [5] Huang Ronghui, Zhang Renhe, 1993: Brief News of International Workshop on Climate Variabilities (IWCV) Held on July 13-17,1992 in Beijing, ADVANCES IN ATMOSPHERIC SCIENCES, 10, 133-133.  doi: 10.1007/BF02656961
    [6] WU Guoxiong, WANG Huijun, Da-Lin ZHANG, 2008: AAS has been accepted for Coverage by the Science Citation Index in 2009, ADVANCES IN ATMOSPHERIC SCIENCES, 25, 705-708.  doi: 10.1007/s00376-008-0705-1
    [7] YU Rucong, WU Guoxiong, 2008: Preface, ADVANCES IN ATMOSPHERIC SCIENCES, 25, 517-517.  doi: 10.1007/s00376-008-0517-3
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    • Manuscript History

    Manuscript received: 10 January 2005
    Manuscript revised: 10 January 2005
    通讯作者: 陈斌, bchen63@163.com
    • 1. 

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    An Improved Method for Doppler Wind and Thermodynamic Retrievals

    • 1. College of Atmosphereic Sciences, Lanzhou University, Lanzhou, Gansu 730000;Cooperative Institute for Mesoscale Meteorological Studies, Norman, Oklahoma, USA 73069,College of Atmosphereic Sciences, Lanzhou University, Lanzhou, Gansu 730000,National Severe Storms Laboratory, Norman, Oklahoma, USA 73069,Cooperative Institute for Mesoscale Meteorological Studies, Norman, Oklahoma, USA 73069,Center for Analysis and Prediction of Storms, Norman, Oklahoma, USA 73069,College of Atmosphereic Sciences, Lanzhou University, Lanzhou, Gansu 730000
    • Manuscript received: 2005-01-10
    • Manuscript revised: 2005-01-10

    Abstract: A variational method is developed to retrieve winds in the first step and then thermodynamic fields in the second step from Doppler radar observations. In the first step, wind fields are retrieved at two time levels: the beginning and ending times of the data assimilation period, simultaneously from two successive volume scans by using the weak form constraints provided by the mass continuity and vorticity equations.As the retrieved wind fields are expressed by Legendre polynomial expansions at the beginning and ending times, the time tendency term in the vorticity equation can be conveniently formulated, and the retrieved winds can be compared with the radar observed radial winds in the cost function at the precise time and position of each radar beam. In the second step, the perturbation pressure and temperature fields at the middle time are then derived from the retrieved wind fields and the velocity time tendency by using the weak form constraints provided by the three momentum equations. The merits of the new method are demonstrated by numerical experiments with simulated radar observations and compared with the traditional least squares methods which consider neither the precise observation times and positions nor the velocity time tendency. The new method is also applied to real radar data for a heavy rainfall event during the 2001 Meiyu season in China.

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