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CMA-GFS 4DVar边界层过程线性化的改进

刘永柱 张林 陈炯 王超

刘永柱, 张林, 陈炯, 等. CMA-GFS 4DVar边界层过程线性化的改进. 应用气象学报, 2023, 34(1): 15-26. DOI:  10.11898/1001-7313.20230102..
引用本文: 刘永柱, 张林, 陈炯, 等. CMA-GFS 4DVar边界层过程线性化的改进. 应用气象学报, 2023, 34(1): 15-26. DOI:  10.11898/1001-7313.20230102.
Liu Yongzhu, Zhang Lin, Chen Jiong, et al. An improvement of the linearized planetary boundary layer parameterization scheme for CMA-GFS 4DVar. J Appl Meteor Sci, 2023, 34(1): 15-26. DOI:  10.11898/1001-7313.20230102.
Citation: Liu Yongzhu, Zhang Lin, Chen Jiong, et al. An improvement of the linearized planetary boundary layer parameterization scheme for CMA-GFS 4DVar. J Appl Meteor Sci, 2023, 34(1): 15-26. DOI:  10.11898/1001-7313.20230102.

CMA-GFS 4DVar边界层过程线性化的改进

DOI: 10.11898/1001-7313.20230102
资助项目: 

国家自然科学基金重大项目 4209002

国家重大研发计划 2022YFC3005000

详细信息
    通信作者:

    刘永柱,邮箱:liuyzh@cma.gov.cn

An Improvement of the Linearized Planetary Boundary Layer Parameterization Scheme for CMA-GFS 4DVar

  • 摘要: 持续发展和优化切线性模式的线性化物理过程,保持与非线性模式一致是改善四维变分同化(4DVar)分析和预报效果的有效方法之一。目前业务系统的CMA-GFS模式采用基于Charney-Phillips(C-P)跳点的边界层参数化方案,而CMA-GFS 4DVar系统中采用基于Lorenz跳点的边界层线性化方案。为改善CMA-GFS 4DVar系统的边界层分析和预报效果,基于C-P跳点的边界层参数化方案研发了新边界层线性化方案,并通过对方案中地表热量通量和水汽通量扰动、自由大气的理查逊系数扰动、边界层的热量和动量交换系数扰动等进行更加精细地规约化约束,在确保CMA-GFS切线性和伴随模式稳定运行的情况下,减少线性化过程对切线性模式预报精度的影响。切线性近似试验检验表明:相较于原方案,新边界层线性化方案可以减少边界层位温和比湿的相对误差,最大可减少10%。批量4DVar循环同化试验表明:新边界层线性化方案可以有效改善切线性模式对低层位温、风场和比湿扰动的预报精度,减少4DVar内外循环目标泛函的相对差异,并提高700 hPa位势高度的可预报时效。
  • 图  1  CMA-GFS切线性模式全球平均位温扰动相对误差垂直分布

    Fig. 1  Vertical distribution of global mean relative error of potential temperature perturbation in CMA-GFS tangent linear model

    图  2  TL_MRF试验的位温扰动纬向平均绝对误差

    Fig. 2  Zonal mean absolute errors of potential temperature perturbation for TL_MRF test

    图  3  TL_NMRF_CP试验位温扰动相对于TL_MRF试验的改善

    Fig. 3  Improvements in potential temperature perturbation of TL_NMRF_CP test relative to TL_MRF test

    图  4  CMA-GFS切线性模式全球平均比湿扰动相对误差垂直分布

    Fig. 4  Vertical distribution of global mean relative error of specific humidity perturbation in CMA-GFS tangent linear model

    图  5  TL_MRF试验的比湿扰动纬向平均绝对误差

    Fig. 5  Zonal mean absolute errors of specific humidity perturbation for TL_MRF test

    图  6  TL_NMRF_CP试验比湿扰动相对于TL_MRF试验的改善

    Fig. 6  Improvements in specific humidity perturbation of TL_NMRF_CP test relative to TL_MRF test

    图  7  CMA-GFS切线性模式全球平均纬向风扰动相对误差垂直分布

    Fig. 7  Vertical distribution of global mean relative error of zonal wind perturbation in CMA-GFS tangent linear model

    图  8  TL_MRF试验的纬向风扰动纬向平均绝对误差

    Fig. 8  Mean absolute errors of zonal wind perturbation for TL_MRF test

    图  9  TL_NMRF_CP试验纬向风扰动相对于TL_MRF试验的改善

    Fig. 9  Improvements in zonal wind perturbation of TL_NMRF_CP test relative to TL_MRF test

    图  10  CMA-GFS 4DVar目标泛函的收敛

    Fig. 10  Convergence of the cost function under CMA-GFS 4DVar

    图  11  北半球和南半球700 hPa位势高度的相关系数

    Fig. 11  Anomaly correlations of 700 hPa geopotential height for the Northern Hemisphere and the Southern Hemisphere

    表  1  CMA-GFS 4DVar试验设置

    Table  1  Setting of CMA-GFS 4DVar test

    设置 详细配置
    水平分辨率 外循环为1.0°×1.0°,内循环为1.0°×1.0°
    模式积分步长 外循环为450 s,内循环为900 s
    垂直层数 87层
    同化时间窗长度 6 h
    观测剖分间隔 30 m
    线性化物理过程 垂直扩散、地形阻塞流拖曳、对流参数化、大尺度凝结
    极小化算法 有预调节的Lanczos-CG算法
    重力波控制 数字滤波弱约束
    最大极小化迭代次数 50次
    下载: 导出CSV
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出版历程
  • 收稿日期:  2022-10-08
  • 修回日期:  2022-11-24
  • 刊出日期:  2023-01-31

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