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Volume 19 Issue 6

Nov.  2002

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Article >  ADVANCES IN ATMOSPHERIC SCIENCES  > 2002 >  19(6): 1103-1112

Elimination of Computational Systematic Errors and Improvements of Weather and Climate System Models in Relation to Baroclinic Primitive Equations

  • 1.

    LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beifing 100029,LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beifing 100029,LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beifing 100029


doi: 10.1007/s00376-002-0068-y

  • The design of a total energy conserving semi-implicit scheme for the multiple-level baroclinic primitive equation has remained an unsolved problem for a long time. In this work, however, we follow an energy perfect conserving semi-implicit scheme of a European Centre for Medium-Range Weather Forecasts (ECMWF) type sigma-coordinate primitive equation which has recently successfully formulated. Some real-data contrast tests between the model of the new conserving scheme and that of the ECMWF-type of global spectral semi-implicit scheme show that the RMS error of the averaged forecast Height at 850 hPa can be clearly improved after the first integral week. The reduction also reaches 50 percent by the 30th day.Further contrast tests demonstrate that the RMS error of the monthly mean height in the middle and lower troposphere also be largely reduced, and some well-known systematical defects can be greatly improved.More detailed analysis reveals that part of the positive contributions comes from improvements of the extra-long wave components. This indicates that a remarkable improvement of the model climate drift level can be achieved by the actual realizing of a conserving time-difference scheme, which thereby eliminates a corresponding computational systematic error source / sink found in the currently-used traditional type of weather and climate system models in relation to the baroclinic primitive equations.
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    • Manuscript History

    Manuscript received: 10 November 2002
    Manuscript revised: 10 November 2002
    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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    Elimination of Computational Systematic Errors and Improvements of Weather and Climate System Models in Relation to Baroclinic Primitive Equations

    • 1. LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beifing 100029,LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beifing 100029,LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beifing 100029
    • Manuscript received: 2002-11-10
    • Manuscript revised: 2002-11-10

    Abstract: The design of a total energy conserving semi-implicit scheme for the multiple-level baroclinic primitive equation has remained an unsolved problem for a long time. In this work, however, we follow an energy perfect conserving semi-implicit scheme of a European Centre for Medium-Range Weather Forecasts (ECMWF) type sigma-coordinate primitive equation which has recently successfully formulated. Some real-data contrast tests between the model of the new conserving scheme and that of the ECMWF-type of global spectral semi-implicit scheme show that the RMS error of the averaged forecast Height at 850 hPa can be clearly improved after the first integral week. The reduction also reaches 50 percent by the 30th day.Further contrast tests demonstrate that the RMS error of the monthly mean height in the middle and lower troposphere also be largely reduced, and some well-known systematical defects can be greatly improved.More detailed analysis reveals that part of the positive contributions comes from improvements of the extra-long wave components. This indicates that a remarkable improvement of the model climate drift level can be achieved by the actual realizing of a conserving time-difference scheme, which thereby eliminates a corresponding computational systematic error source / sink found in the currently-used traditional type of weather and climate system models in relation to the baroclinic primitive equations.

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