摘要
隐式求解一维水流运动虽具有良好的稳定性,但在河网计算中需要生成和求解大型系数矩阵。从图论的角度,将河网拓扑结构抽象为有向图,建立关联矩阵自动生成系数矩阵,在河网矩阵标识法的基础上提出了更为通用、灵活的面向对象的矩阵标识法。实例计算和松弛系数敏感性分析结果均表明,改进方法简化了计算程序的结构,具有较高的效率和稳定性。
The implicit difference scheme for solving 1 D Saint - Venant equations is of good stability, but large - scale coefficient matrix needs to be generated and solved for simulating river network flow. The topological structure of river networks is abstracted as a directed graph from graph theory, and the incidence matrix is established to generate the coefficient matrix automatically. The object- oriented matrix mark method is proposed on the basis of matrix mark method, which is more universal and flexible. The practical computation and the sensitivity analysis of the relaxation coefficient show that the modified method can simplify the structure of the calculation program, which is effective and stable.
出处
《人民长江》
北大核心
2014年第14期85-88,共4页
Yangtze River
基金
水利部公益性行业科研专项经费基金资助项目(201101052)
关键词
矩阵标识法
图论
松弛迭代法
河网
matrix mark method
graph theory
relaxed iterative algorithm
river networks
