| 基于有限差分法的扩散波沿程洪峰衰减值确定方法研究 |
| |
| 引用本文： | 马海波,董晓华,王伟.基于有限差分法的扩散波沿程洪峰衰减值确定方法研究[J].水电能源科学,2014,32(9):75-77. |
| |
| 作者姓名： | 马海波 董晓华 王伟 |
| |
| 作者单位： | 三峡大学 水利与环境学院， 湖北 宜昌 443002；水资源安全保障湖北省协同创新中心， 湖北 武汉 430072;三峡大学 水利与环境学院， 湖北 宜昌 443002；水资源安全保障湖北省协同创新中心， 湖北 武汉 430072;南水北调中线干线工程建设管理局 河南直管建管局， 河南 郑州 450000 |
| |
| 基金项目： | 国家重点基础研究发展计划（2013CB036401）；江苏省普通高校研究生科研创新计划资助项目（CXZZ11_0434)；三峡大学人才科研启动基金（KJ2012B030） |
| |
| 摘 要： | 为了使洪水波在河道中的传播规律有更明确的物理意义,将洪峰流量表示为河道位置和传播时间的复合函数,通过拉格朗日中值定理和有限差分法推导该变量对河道位置的二阶导数与对传播时间的二阶导数之间的关系,进而推导出洪峰流量沿程衰减值的有限差分表达式,并通过实例对该公式进行了验证。结果表明,该洪峰流量衰减值公式中的洪峰流量值具有明确的传播位置及传播时间信息,能够刻画出洪峰流量的时空衰减规律,且计算结果精度较高。
|
| 关 键 词： | 洪水波 洪水演算 洪峰流量 中值定理 有限差分 复合函数 |
Research on Peak Discharge Attenuation Value Determination of Diffusion Wave Along Based on Finite Difference Method |
| |
| MA Haibo,DONG Xiaohua and WANG Wei.Research on Peak Discharge Attenuation Value Determination of Diffusion Wave Along Based on Finite Difference Method[J].International Journal Hydroelectric Energy,2014,32(9):75-77. |
| |
| Authors: | MA Haibo DONG Xiaohua and WANG Wei |
| |
| Affiliation: | College of Hydraulic and Environmental Engineering, China Three Gorges University, Yichang 443002, China; Hubei Provincial Collaborative Innovation Center for Water Resources Security, Wuhan 430072, China;College of Hydraulic and Environmental Engineering, China Three Gorges University, Yichang 443002, China; Hubei Provincial Collaborative Innovation Center for Water Resources Security, Wuhan 430072, China;Henan Project Construction Management Bureau, Construction and Administration Bureau of South-to-North Water Diversion Middle Route Project, Zhengzhou 450000, China |
| |
| Abstract: | In order to make the flood wave propagation having a clearer physical significance, the peak discharge is set to composite function of channel location variable and time variable and deduce the second derivative of the channel location variable and time variable by using Lagrange mean value theorem and the finite difference method. And then the finite difference formula of peak discharge attenuation along is inferred. Finally, it verifies by an example. The results indicate that the peak discharge in the formula has clear information of propagation site and time, and it can describe the temporal attenuation law of peak discharge; the calculation result has high accuracy. |
| |
| Keywords: | flood wave flood routing peak discharge mean value theorem finite difference composite function |
| 本文献已被 CNKI 等数据库收录！ |
|
