摘要
建立立方抛物线形断面收缩水深计算的牛顿迭代公式,误差分析结果表明,其工程适用范围内的最大相对误差绝对值小于6.07×10^(-5)%,平均相对误差绝对值仅小于1.11×10^(-5)%。该迭代公式收敛速度快,且形式较为简捷,大大提高了计算效率,为工程设计及水工设计手册的编制提供参考。
Newton＇s iteration formula was established for the calculation of contracted water depth in cubic parabolic crosssections. Results of error analysis indicated that the maximum absolute relative error in practical range was less than 6.07×10^（-5）% and the average absolute relative error was less than only 1.11×10^（-5）%. The proposed iterative formula has fast convergence rate and brief form, thus perfectly improving the calculating efficiency, which would be used for engineering design practice and for the compilation of hydraulic structure design handbooks.
出处
《水科学与工程技术》
2017年第4期1-3,共3页
Water Sciences and Engineering Technology
基金
江苏省普通高校研究生科研创新计划项目(KYLX16_1397)
关键词
立方抛物线
收缩水深
牛顿迭代
误差分析
cubic parabolic
contracted water depth
Newton＇s iteration
error analysis
