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调水渠网非恒定流的线性变换求解方法
Linear transformation method for calculation of unsteady flow in water diversion networks
【摘要】 本文针对调水渠网非恒定流隐式差分,提出了线性变换求解方法。首先通过未知列向量的线性变换求解每条渠道的带型矩阵线性方程组,以确定进出口计算断面水深、流量微增量的函数关系,然后与边界条件联立求解得到它们的解,最后通过一个回代过程计算出渠网各计算断面的水深和流量的微增量。应用这一方法,研究了东深供水工程渠网的非恒定流。本文方法适用于各种渠网,包括简单的一条渠道,串联渠道,树枝状渠网和具有并联和回路的渠网和河网。
【Abstract】 A new method for calculating the unsteady flow in water diversion networks in proposed on the basis of Preissman′s implicit finite difference method.A linear transformation is introduced to obtain the explicit relationship between the water depth and flow increment of every channel by means of a standard computer program for the linear equations with a coefficient band-matrix.The method is applied to simulate the unsteady flow in water diversion network from the Dongjiang River to Shenzhen City.
【关键词】 渠网;
非恒定流;
隐式差分;
线性变换;
东深供水工程;
【Key words】 water diversion network; unsteady flow; implicit finite difference; linear transformation;
【Key words】 water diversion network; unsteady flow; implicit finite difference; linear transformation;
【基金】 本文受中央财政社会公益研究重大项目基金资助(项目编号:126301041003)
- 【文献出处】 水利学报 ,Journal of Hydraulic Engineering , 编辑部邮箱 ,2004年03期
- 【分类号】TV133.2
- 【被引频次】32
- 【下载频次】216