高次插值函数在调洪演算中的应用研究  

Application Research of High Order Interpolation Function in Flood Control Calculation

作　　者：陈玉玺 卢晓春[1] 陈渴鑫 李爽 CHEN Yuxi;LU Xiaochun;CHEN Kexin;LI Shuang(College of Water Conservancy and Environment,China Three Gorges University,Yichang 443000,China)

机构地区：[1]三峡大学水利与环境学院,湖北宜昌4430000

出　　处：《人民珠江》2018年第11期63-67,共5页Pearl River

基　　金：国家自然科学基金项目(51509143)

摘　　要：为了提高调洪演算的数值计算精度,探究高次插值函数在调洪计算中的应用前景,以Lagrange插值、三次样条插值函数为例,基于C#语言环境及试算法理论编写计算程序并结合Excel线性插值进行实例对比分析。结果表明,相比于线性一次插值函数而言,应用高次插值函数对水文特征曲线的拟合效果更好,三次样条插值函数、线性插值函数、Lagrange插值函数在调洪计算中的精度依次降低。研究能为调洪计算优化求解提供一定的决策支持。In order to improve the numerical calculation accuracy of flood control calculation,the application prospect of high-order interpolation function in flood control calculation is explored.Lagrange interpolation and cubic spline interpolation function are taken as examples,based on the C#language environment and trial algorithm theory,the calculation program is written and compared with Excel linear interpolation.The results show that compared with the linear one-time interpolation function,the high-order interpolation function is better for fitting the hydrological characteristic curve,the precision of cubic spline interpolation function,linear interpolation function and Lagrange interpolation function in the flood control calculation decrease in turn.The research can provide certain decision support for the optimal solution of flood control calculation.

关 键 词：调洪演算 LAGRANGE插值 三次样条插值 Excel线性插值 优化拟合 精度 

分 类 号：TV122.5[水利工程—水文学及水资源]