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优化二分法计算天然河道水面曲线
Calculation of Water Surface Curve in Natural River by Optimizing Dichotomy
【摘要】 天然河道水面曲线的求解计算量大,计算过程冗长。为减小计算量,缩短计算时间,将割线法和线性插值法与二分法相结合,推导出能使计算快速收敛的优化二分法。通过工程实例计算将该方法与传统二分法、改进二分法进行了对比。结果表明,优化二分法在计算次数和计算时间上均有明显优势,大大减少了程序的计算次数,缩短了计算时间。
【Abstract】 Solving water surface curveof a natural river needs a large amount of computation and time. Therefore,to reduce the time and number of the computation,a simple and easily programmable optimizing dichotomy could be derived through the combination of secant method,liner interpolation and dichotomy,on the premise that it was compared with the traditional dichotomy and the improved one,a case had been adopted to examine it. The result suggests that this method has advantages over other two methods with respect to the time and number of the trials required.
【关键词】 天然河道;
水面曲线;
优化二分法;
数值计算;
非线性方程;
【Key words】 nature river course; water surface curve; optimizing dichotomy; numerical computation; nonlinear equation;
【Key words】 nature river course; water surface curve; optimizing dichotomy; numerical computation; nonlinear equation;
【基金】 国家自然科学基金资助项目(51509224)
- 【文献出处】 人民黄河 ,Yellow River , 编辑部邮箱 ,2018年08期
- 【分类号】TV133
- 【被引频次】1
- 【下载频次】162