| 恒定渐变流水面线计算的一种迭代方法 |
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| 引用本文： | 张建民,王玉蓉,许唯临,刘 辉. 恒定渐变流水面线计算的一种迭代方法[J]. 水利学报, 2005, 36(4): 0501-0504 |
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| 作者姓名： | 张建民 王玉蓉 许唯临 刘 辉 |
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| 作者单位： | 高速水力学国家重点实验室(四川大学),四川,成都,610065;新疆水利水电勘测设计研究院,新疆,乌鲁木齐,830000 |
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| 摘 要： | 本文将现行水面线试算方法改为收敛迭代计算以求解恒定渐变流水面线的数学模型。文中对方法的收敛性进行了分析，通过实例计算，表明该方法能够避免牛顿迭代方法复杂函数求导的困难和试算法不便于计算机编程计算等问题，计算精度较高，能够满足工程设计要求，并便于工程人员实际应用。
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| 关 键 词： | 恒定渐变流 水面线 迭代方法 收敛性分析 |
| 文章编号： | 0559-9350(2005)04-0501-04 |
| 修稿时间： | 2004-02-22 |
New iteration method for calculating water level of gradually varied steady flow |
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| ZHANG Jian-min,WANG Yu-rong,XU Wei-lin,LIU Hui. New iteration method for calculating water level of gradually varied steady flow[J]. Journal of Hydraulic Engineering, 2005, 36(4): 0501-0504 |
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| Authors: | ZHANG Jian-min WANG Yu-rong XU Wei-lin LIU Hui |
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| Affiliation: | 1.Sichuan University, Chengdu 610065, China;2.Xinjiang Water Resources and Hydropower Design & Research Institute, Urumqi 830000,China |
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| Abstract: | A new iteration method is proposed to substitute the try and error method for calculating water level of gradually varied steady flow. The convergence of the method is analyzed and the calculated result of an example is given. The result shows that the proposed method avoids the problem of solving the differentiation of complicated function occurred in Newton's iteration method and is easy to be programmed by computer language. This method is practical and posesses good calculation accuracy. |
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| Keywords: | gradually varied steady flow water level iteration method convergence analysis |
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