一种新的有限区域曲面拟合方法
A NEW METHOD OF CURVED SURFACE FITTING IN A LIMITED AREA
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摘要: 本文提出一种在有限区域内对物理量进行曲面拟合的新方法(NMOCSF),该法根据滤波原理进行多重拟合,每次拟合时,拟合函数的最大、最小值点位置与原函数的一致.对比试验表明,NMOCSF的拟合精度比有限元法高,能够分辨出尺度为220km左右的天气系统,且拟合函数在计算区域内连续、光滑、方法稳定.因此在诊断分析中的实际使用价值高于有限元法.Abstract: In this paper, a new method of curred surface fitting (NMOCSF) for physical variable in a limited area is proposed. According to the principle of filtering, the physical variable is fitted multiply. In case of each fitting, the places of the maximum and the minimum of the fitting function are in accordante with that of the original function. The contrastive experiment shows that the accuracy of the NMOCSF is higher than that of the finite element method. The synoptic systems with the scale about 220km can be identified by the NMOCSF. The fitting function are continuous and smooth in the calculated area and the NMOCSF is stable. Thus, the practical value of the NMOCSF is higher than that of the finite element method in the diagnostic analysis.