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沙瓦特指数的一种迭代算法

王学忠 胡邦辉 吕梅 邹力 倪东鸿

王学忠, 胡邦辉, 吕梅, 等. 沙瓦特指数的一种迭代算法. 应用气象学报, 2009, 20(4): 486-491..
引用本文: 王学忠, 胡邦辉, 吕梅, 等. 沙瓦特指数的一种迭代算法. 应用气象学报, 2009, 20(4): 486-491.
Wang Xuezhong, Hu Banghui, Lv Mei, et al. Computation of showalter index by an iterative method. J Appl Meteor Sci, 2009, 20(4): 486-491.
Citation: Wang Xuezhong, Hu Banghui, Lv Mei, et al. Computation of showalter index by an iterative method. J Appl Meteor Sci, 2009, 20(4): 486-491.

沙瓦特指数的一种迭代算法

资助项目: 

江苏省气象灾害重点实验室项目 KLE050304

中国气象局气象新技术推广项目 CMATG2006M02

Computation of Showalter Index by an Iterative Method

  • 摘要: 为了提高沙瓦特指数的计算精度, 在沙瓦特指数计算方案中引入二分法:先用于计算抬升凝结高度上的要素, 进而计算假相当位温, 再依据假相当位温守恒性质用于计算500 hPa气块温度。与其他方案对比表明, 该迭代算法计算的沙瓦特指数精度较高; 与查表法所得的气块温度对比表明, 该迭代算法得到的气块温度的最大绝对误差为1.36 ℃, 平均误差 (-0.68 ℃) 与平均绝对误差 (0.69 ℃) 数值接近; 迭代算法与查表法之间以系统性偏差为主; 此外, 该迭代算法计算量小, 收敛速度快, 具有推广应用价值。
  • 图  1  二分法与查表法计算的500 hPa气块温度对比 (a) 查表法, (b) 二分法, (c) 二分法与查表法的差值

    (阴影区:负值)

    Fig. 1  500 hPa parcel temperatures computed by table interpelating methods (a) and bisection (b), and their differences (c)

    (shaded region:negative value)

    表  1  多站点计算的沙瓦特指数及其与查表或点绘求得的沙瓦特指数对比 (单位:℃)

    Table  1  Comparison between Showalter indexes computed by bisection method and those by table/chart interpolating at multi-stations (unit:℃)

    表  2  以查表法为参照二分法及其均值订正后计算的500 hPa气块温度的统计对比 (单位:℃)

    Table  2  Statistical error features of 500 hPa parcel temperatures computed by bisection and its mean value correction referring to those of table interpolating (unit:℃)

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出版历程
  • 收稿日期:  2008-05-08
  • 修回日期:  2009-02-13
  • 刊出日期:  2009-08-31

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