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环状河网求解不同于树状河网,在采用三级解法进行环状河网非恒定流计算时常面临求解大型矩阵的难题.针对这一问题,从水流质点游动角度出发,研究将随机游动方法应用于环状河网水位计算,实现随机游动方法与三级解法相结合.在三级解法得到节点水位方程组基础上,给出节点水位的随机显式求解新方法,然后采用追赶法完成整个河网水位流量计算.与常规三级解法相比,该方法求解原理简单,避免了大型矩阵的直接求解.将新方法建立模型运用于西江下游河网计算,结果表明,该方法较常规方法在简化运算的同时提高了计算效率,并且与常规三级解法具有同样的精度.模型计算结果也量化了各节点水位之间的相对联系情况.
The solution of annular river network is different from that of tree-shaped river networks, and it is often difficult to solve large-scale matrices for solving unsteady flow of ring-shaped river networks by using the third-order method. In view of this problem, The swimming method is applied to the calculation of the water level of the ring river network, and the random walk method is combined with the third-level solution method.Based on the node-water-level equations obtained by the third-order solution method, a new stochastic solution to the node water level is given, Compared with the conventional three-level solution, the method has simple solution principle and avoids the direct solution of large-scale matrix. The new method is applied to the calculation of the river network in the lower reaches of the Xijiang River. The results show that this method Compared with the conventional method, the computational efficiency is improved while the computational efficiency is simplified, and the accuracy is the same as that of the conventional third-order method. The calculation results of the model also quantify the relative relations between the water levels of each node.