摘要
用常规的分段求和法完成标准U形断面渠槽水面线计算不但存在误差累积而且计算工作量大、效率低。依据优化拟合理论,以标准剩余差最小为目标函数,在工程适用参数范围内,经拟合计算获得了由一个简化通用算式替代原积分中的分段且不可积函数,并通过积分获得了该种断面水面线的解析计算模型,且由于正、负拟合误差的相互抵消,使最终计算成果的精度进一步提高。利用该模型完成标准U形断面水面线计算可使求解过程大大简化,工作效率明显提高,具有实用推广意义。
Summation method with conventional staging to complete the standard U-shaped cross-section surface curve calculation not only exist cumulative error, but also does calculation of the heavy workload with low efficiency. Based on the theory of optimum fitting, with the standard minimum residual difference as the objective function, in the scope of the engineering applicable parameters, a non-integrable func- tion was obtained by a simplified formula to replace the segments in the original integral. By integration, an analytical model for the cross-sec- tional surface curve was obtained. Because the positive and negative fitting errors offset each other the accuracy of the calculation was higher.
出处
《水文》
CSCD
北大核心
2014年第2期71-74,86,共5页
Journal of China Hydrology
关键词
标准U形断面
水面线
优化拟合
计算模型
standard U-shaped cross section
normal depth
optimization fitting
approximate calculation
