摘要
抛物线断面河渠正常水深方程形式复杂,解析解求解困难。通过对抛物线形渠道正常水深方程进行恒等变形,对已知量进行整合,得到快速收敛的无量纲迭代方程式,再用优化拟合分析的方法选取迭代初值,由不动点迭代法提出了无量纲正常水深近似计算公式。误差分析结果表明:抛物线形断面河渠正常水深近似计算公式简单、精确,在工程常用范围内相对误差小于1%,满足工程要求。
The equation of normal depth in a parabolic-shaped river channel is complex and difficult to be analytically solved.Through identically transforming the normal flow depth equation and integrating the known variables,the quickly converged dimensionless iteration equation is obtained.Then the initial iteration value is selected through optimized fitting analysis.The approximation solution formula of dimensionless normal flow depth is obtained using fixed-point iteration method.The error analysis shows the approximation calculation formula of normal flow depth in a parabolic-shaped river channel is brief and exact for the need of engineering design with the maximum relative error of less than 1%.
出处
《人民长江》
北大核心
2011年第11期107-109,共3页
Yangtze River
关键词
抛物线
河渠
正常水深
计算公式
parabola
river channel
normal flow depth
calculation formula
