论文部分内容阅读
以圣维南方程组为基础,建立了具有堰的环状河网非恒定流数学模型。采用Preissman四点隐格式法对圣维南方程组进行离散,并考虑了堰的影响,利用河网的三级解法编制河网非恒定流的计算程序求解各断面的水位Z和流量Q。对于堰出流的模拟,根据堰的上下游条件,给出了环状河网中有内部边界堰存在时追赶系数的一种新的推求方法,提出了适用于环状河网中自由出流和淹没出流的算法。实例研究表明,该模型是可靠的,可以用于河网水流治理工程的数值模拟研究,并且提供了一种处理明渠分流的工具,对实际工程有一定的指导意义。
Based on the Saint-Venant Equations, a mathematical model of unsteady flow of annular network with weir is established. Preissman four-point implicit method was used to discretize the Saint-Venant equations, and the effect of weirs was taken into account. Using the third-order method of river network, a calculation program of unsteady flow in the river network was established to solve the water level Z and flow rate Q of each section. For the weir outflow simulation, according to the upstream and downstream conditions of the weir, a new derivation method for the catch-up coefficient in the presence of an internal boundary weir in a ring-shaped river network is given. The proposed method is suitable for free- And flooding out of the flow algorithm. The case study shows that the model is reliable and can be applied to the numerical simulation of river network flow control engineering and provides a tool to deal with open channel diversion, which is of guiding significance for practical engineering.