基于变分法的客观分析算法及应用

An objective analysis algorithm based on the variational method

  • 摘要: 在气象业务中,常需要将不规则离散站点数据转换成规则分布的格点场,并要求格点场既准确又平滑。由于准确性和平滑性存在矛盾,利用现有客观分析方法很难达到上述要求。采用变分法,将准确性和平滑性设计成关于格点场的目标函数,通过求解目标函数的最小值对应的格点场可获得最优的客观分析结果。对降水量的客观分析实例表明,基于变分法的客观分析算法能够满足既准确又平滑的分析要求。

     

    Abstract: In meteorological operations, station data are often needed to be transformed to the regular grid with requirements of the gridded field being both accurate and smooth. Due to the contradiction between accuracy and smoothness, the existing objective analysis methods are very difficult to achieve the above requirements. In this paper, based on the variational method, by introducing accuracy and smoothness into a cost function of the gridded field, the optimal objective analysis results can be obtained by solving the minimum value of the cost function. The objective analysis of precipitation examples show that both accurate and smooth requirements can be met by using the variational objective analysis methods.

     

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