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本文在以前工作的基础上,对圣维南差分方程组的求解和水闸闸流公式的特性进行了研究,提出了水闸虚拟河段的算法。首先把整个带有水闸的河网分为两类河段:一类为用圣维南差分方程组求解的实河段;另一类为水闸的虚拟河段。然后对这两类河段分别求出其首末断面水位的线性表示式,再用连接条件得出节点水位方程组。对于节点水位方程组的求解,考虑刭方程组具有高阶和稀疏的特性,因此采用了索引存贮的稀疏技术与稀疏高斯消去法解方程组。从而,为在中小型计算机上求解更大型的河网方程组开辟了一条道路。
Based on the previous work, this paper studies the solution of Saint-Venant difference equations and the characteristics of sluice gate flow formula, and proposes the algorithm of sluice virtual reach. First of all, the entire sluice with a sluice is divided into two types of river sections: one is the real river section solved by Saint-Venant difference equations; the other is the virtual river section of the sluice. Then, the linear expressions of the water level of the first and last sections are respectively obtained for these two types of river sections, and then the node water level equations are obtained by using the connection conditions. For the solution of node water level equations, considering that the system of equations has high order and sparse property, we use the index storage sparse technique and the sparse Gaussian elimination method to solve the system of equations. As a result, a path has been opened up for solving larger river network equations in small and medium sized computers.