摘要
梯形断面均匀流水深计算需进行高次方程求解,无法直接完成。针对目前传统算法及近似算法存在的计算繁琐、精度不高等问题,通过对其均匀流方程进行数学变换,采用优化拟合的方法,以标准剩余差最小为目标函数,在实用参数范围内,经逐次逼近拟合获得了计算较为简捷、最大相对误差小于0.36%的近似公式,具有一定的推广意义。
The calculation for the uniform flow depth of trapezoidal cross-section should be done by completing the solution of high-order equations,and could not be done directly.According to some problems in the traditional algorithms and approximate algorithms,through the mathematical transformation for the uniform flow equations and optimization fitting method,and taking the minimum standard remaining deviation for objective function,the approximate formula is achieved by approximating and fitting successively in the range of practical parameters,the maximum relative error of which is less than 0.36%,and which has a certain significance for promoting and spreading.
出处
《水利与建筑工程学报》
2012年第1期39-42,共4页
Journal of Water Resources and Architectural Engineering
关键词
梯形断面
均匀流水深
优化拟合
近似计算
trapezoidal cross-section
uniform flow depth
optimal fitting
approximate calculation
