摘要
针对采用常规方法求解抛物线形断面渠道收缩水深不但计算过程繁复且计算精度不高,而已有简化计算公式仅限于特定的抛物线形断面且公式形式不够简化的问题,引入已知综合参数及无量纲收缩水深参数,对抛物线形断面渠道收缩水深的基本计算公式进行变形整理,在保证求解精度满足工程设计要求的前提下,对函数高次方程进行优化拟合,得到了表达形式简单、计算简捷的近似计算通式。精度分析及实例计算结果表明,该计算通式的最大误差小于0.755%,完全满足实际工程设计精度要求,具有实际应用推广价值。
Conventional methods used to calculate water depth in parabolic-shaped channel with contracted section have the drawbacks of heavy computational effort and low accuracy. Additionally, the exiting simplified formulas can only be used in specific parabolic-shaped sections and are not simple enough to calculate the water depth. In order to solve these problems, the basic formula of water depth was modified by introducing the comprehensive parameters and dimensionless relative water depth. The simplified general formula was proposed by fitting a polynomial of higher degree while meeting the precision demand of engineering design. Computational results and precision analysis show that the maximum relative error of the general formula is only 0.755%, which meets the precision demand of engineering design. Thus, the simplified general formula proposed here can be used in real practical applications.
出处
《水利水电科技进展》
CSCD
北大核心
2014年第3期61-64,共4页
Advances in Science and Technology of Water Resources
关键词
收缩水深
抛物线形断面
优化拟合
简化计算
contracted water depth
parabolic-shaped sections
optimal fitting
simplified calculation
