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预估-校正的半隐式半拉格朗日时间积分方案及其在CMA-GFS模式中的应用

张红亮 沈学顺 苏勇

张红亮,沈学顺,苏勇. 2022. 预估-校正的半隐式半拉格朗日时间积分方案及其在CMA-GFS模式中的应用. 气象学报,80(2):280-288 doi: 10.11676/qxxb2022.021
引用本文: 张红亮,沈学顺,苏勇. 2022. 预估-校正的半隐式半拉格朗日时间积分方案及其在CMA-GFS模式中的应用. 气象学报,80(2):280-288 doi: 10.11676/qxxb2022.021
Zhang Hongliang, Shen Xueshun, Su Yong. 2022. A semi-implicit semi-Lagrangian time integration schemes with a predictor and a corrector and their applications in CMA-GFS. Acta Meteorologica Sinica, 80(2):280-288 doi: 10.11676/qxxb2022.021
Citation: Zhang Hongliang, Shen Xueshun, Su Yong. 2022. A semi-implicit semi-Lagrangian time integration schemes with a predictor and a corrector and their applications in CMA-GFS. Acta Meteorologica Sinica, 80(2):280-288 doi: 10.11676/qxxb2022.021

预估-校正的半隐式半拉格朗日时间积分方案及其在CMA-GFS模式中的应用

doi: 10.11676/qxxb2022.021
基金项目: 国家重点研发计划项目(2017YFC1501901、2018YFC1505705)
详细信息
    作者简介:

    张红亮,主要从事数值预报研究。E-mail:zhanghl@cma.gov.cn

    通讯作者:

    沈学顺,主要从事数值预报研究。E-mail: shenxs@cma.gov.cn

  • 中图分类号:  P435

A semi-implicit semi-Lagrangian time integration schemes with a predictor and a corrector and their applications in CMA-GFS

  • 摘要: CMA-GFS采用的是传统的二时间层半隐式半拉格朗日时间积分方案(SISL)。拉格朗日平流速度和非线性项需要采用时间外插进行计算,在急流轴附近等梯度大值区会造成计算不稳定,甚至积分中断现象。文中通过构造预估-校正半隐式半拉格朗日时间积分方案(SISL/P-C),以减少时间外插的影响;半隐式系数由原来的0.72减小到0.55,构造准二阶精度的时间积分方案。理想试验和实际资料试验证明新方案可以改善CMA-GFS的精确度、稳定性和质量守恒。0.25°水平分辨率下积分时间步长可以由300 s 增大到450 s,模式总体计算效率提高20%。

     

  • 图 1  Rossby-Haurhawtz波试验积分15 d后700 hPa高度场 (a. 对照试验,b. SISL/P-C试验;单位:gpm)

    Figure 1.  700 hPa height in the Rossby-Haurhawtz wave experiment after 15 d of integration (a. control,b. SISL/P-C;unit:gpm)

    图 2  Rossby-Haurhawtz波试验 (40°S—40°N,10°—110°E) 积分15 d后700 hPa高度场 (黑色:初始值, 红色:对照试验,绿色:SISL/P-C )

    Figure 2.  700 hPa height in the Rossby-Haurhawtz wave experiment (40°S—40°N,10°—110°E) after 15 d of integration (black:initial value,red:control,green:SISL/P-C)

    图 3  地形激发的罗斯贝波传播15 d 后700 hPa高度场 (a1、a2:对照试验,b1、b2. SISL/P-C;a1、b1. 1200 s,a2、b2. 600 s;单位:gpm)

    Figure 3.  700 hPa height in the mountain-induced Rossby wave experiment after 15 d of integration (a1,a2. control,b1,b2. SISL/P-C; a1,b1. 1200 s,a2,b2. 600 s;unit:gpm)

    图 4  地形激发的罗斯贝波传播15 d 后700 hPa (EQ—70°N,80°—160°E) 高度场 (实线:600 s,虚线:1200 s;黑色:对照试验,红色:SISL/P-C;单位:gpm)

    Figure 4.  700 hPa height (EQ—70°N,80° —160°E) in the mountain-induced Rossby wave experiment after 15 d of integration (solid:600 s,dashed:1200 s; black:control, red:SISL/P-C; unit:gpm)

    图 5  地形激发的罗斯贝波传播0—15 d 平均地面气压变化 (黑色:对照试验,红色:SISL/P-C;实线:600 s,虚线:1200 s;单位:hPa)

    Figure 5.  Averaged surface pressure changes over 0—15 d in the mountain-induced Rossby wave experiment (black:control,red:SISL/P-C;solid line:600 s,dashed line:1200 s;unit:hPa)

    图 6  斜压波试验模式积分9天850 hPa上的温度场 (单位:K)(a.对照试验,b. SISL/P-C;单位:K)

    Figure 6.  850 hPa temperature in the baroclinic wave experiment after 9 d of integration (a. control, b. SISL/P-C;unit:K)

    图 7  斜压波试验模式积分9天850 hPa (30—70°N,120°E —120°W) 温度场 (a. 对照试验,b. SISL/P-C;黑色:600 s,蓝色:1200 s,红色:1800 s;单位:K)

    Figure 7.  850 hPa temperature (30°—70°N,120°E—120°W) in the baroclinic wave experiment after 9 d of integration (a. control,b. SISL/ P-C;black:600 s,blue:1200 s,red:1800 s;unit:K)

    图 8  2018年7月12日12时 (世界时) 起报72 h预报的500 hPa高度场 (黑色线:SISL/P-C,红色线:对照试验;实线:300 s,虚线:450 s;单位:gpm)

    Figure 8.  500 hPa height after 72 h of integration starting from 12:00 UTC 12 July 2018 (solid:300 s,dash:450 s;black:SISL/P-C,red:control;unit:gpm)

    图 9  2018年7月平均5 d 预报500 hPa高度场距平相关系数 (a) 和偏差 (b)

    Figure 9.  Anomaly correlations (a) and biases (b) of averaged 5 d 500 hPa height field in July 2018

    图 10  SISL/P-C预报试验的综合评分卡 (a. 300 s,b. 450 s)

    Figure 10.  Comprehensive scoring cards for prediction experiment of SISL/P-C (a. 300 s,b. 450 s)

    图 11  2018年7月全球平均的海平面气压随时间的变化

    Figure 11.  Changes of global mean sea level pressure over time in July 2018

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  • 收稿日期:  2021-06-22
  • 录用日期:  2022-02-28
  • 修回日期:  2022-01-10
  • 网络出版日期:  2022-01-17

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