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曲面拟合和曲面积分在流量计算中的应用
引用本文:马峥,陈红勋.曲面拟合和曲面积分在流量计算中的应用[J].排灌机械,2004,22(3):18-21.
作者姓名:马峥  陈红勋
作者单位:上海大学上海市应用数学和力学研究所,上海,200072
基金项目:上海市重点学科建设项目
摘    要:水利行业经常要进行流量计算,这样就会遇到曲面拟合和曲面积分的问题。将曲线的样条函数插值和高斯配点法扩展到曲面上来解决这一问题,并对泵站流量、效率、明渠和管道流量进行了计算。结果表明,该计算方法能够满足流量计算等工程实际的需要。

关 键 词:水利工程  流量计算  曲面拟合  曲面积分  样条函数  高斯配点法
文章编号:1005-6254(2004)03-0018-04

Application of Surface-fitting and Surface Numerical Integration on Calculation of Flow
MA Zheng,CHEN Hong-xun.Application of Surface-fitting and Surface Numerical Integration on Calculation of Flow[J].Drainage and Irrigation Machinery,2004,22(3):18-21.
Authors:MA Zheng  CHEN Hong-xun
Abstract:The calculation of flow is often needed in water conservancy, and surface-fitting and double integration are usually met in order to solve this problem. Spline interpolation and Gaussian quadrature are developed for surface-fitting and double integration and applied to calculation of the flow and the efficiency in pumping station and the flow in aqueduct and pipe. This method can meet the need of engineering.
Keywords:Calculation of flow  Surface-fitting  Double integration  Spline interpolation  Gaussian quadrature
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