河网非恒定流的有限元数值解

The Finite Element Method of Unsteady Flow in Channel Networks

在前人工作的基础上,根据配置法加权剩余原理,利用完全圣维南方程组有限元数值解,导出类似四点隐式差分的河网非恒定流的有限元计算模式,该模式物理概念明确,适用范围较广,引入双消除解法(追赶法)后,使得计算内存减少、运算速度加快、解法易于掌握,文章最后给出珠江水系西江干流虎跳门水网区域的一个应用实例。

A fininte element model for one-dimensional unsteady flow of channel networks is developed in this paper, together with the fine evaluation for current mathmatical mod- ' els for unsteady flow of river networks and numerical solution of the Saint-Venant e-quations. This model describing systematically the unsteady flow computing method for river networks has the characteristics of clearer physical concept and wider application range, the model itself needs less both memory capcity and computing time than the current using model after the double sweeping method is used. As case study is given, it is shown that the computational results are in good a-greement with the field observation.