| 龙格—库塔法计算明渠恒定渐变流水面线 |
| |
| 引用本文： | 霍倩,李广晶.龙格—库塔法计算明渠恒定渐变流水面线[J].水文,2011,31(1):22-25. |
| |
| 作者姓名： | 霍倩 李广晶 |
| |
| 作者单位： | 1. 石家庄铁道学院土木工程分院,河北,石家庄,050043
2. 石家庄市水利局,河北,石家庄,050051 |
| |
| 基金项目： | 河北省水利厅科研与推广计划项目(2009-093); 河北省自然科学基金项目(E2009000897) |
| |
| 摘 要： | 用龙格—库塔法计算棱柱体明渠恒定渐变流水面线,可求得距控制断面任意长度的断面水深,避免逐段试算法产生的系列问题。推导出分别由上游和下游控制断面计算水面线的两种模型,基于龙格—库塔法的Matlab函数ode45计算水面线。算例表明,与逐段试算法相比,ode45的计算结果精度更高,计算水面线的新方法简单易行,便于在工程中推广。
|
| 关 键 词： | 明渠 恒定渐变流 水面线 龙格—库塔法 |
Calculation of Water Surface Profile of Gradually Varied Steady Flow in Open Channel with Runge-Kutta Method |
| |
| HUO Qian,LI Guangjing.Calculation of Water Surface Profile of Gradually Varied Steady Flow in Open Channel with Runge-Kutta Method[J].Hydrology,2011,31(1):22-25. |
| |
| Authors: | HUO Qian LI Guangjing |
| |
| Institution: | HUO Qian1,LI Guangjing2(1.School of Civil Engineering,Shijiazhuang Railway Institute,Shijiazhuang 050043,China,2.Shijiazhuang Water Conservancy Bureau,Shijiazhuang 050051,China) |
| |
| Abstract: | In this paper,Runge-Kutta method was firstly used to calculate gradually varied steady flow in prismatic channel.It can calculate the depth of any section at a distance from the control section,avoiding a series of problems occurred in the piecewise trail-error method.Two models for calculating the water surface profile were deduced,from control section in upstream and in downstream.One of Matlab functions,ode45,based on Runge-Kutta method was directly used to calculate the water surface profile.Compared wi... |
| |
| Keywords: | open channel gradually varied steady flow water surface profile Runge-Kutta method |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
