水利学报2011,Vol.42Issue(12):1416-1422,7.
基于图论的渠网非恒定流稀疏矩阵技术
Sparse matrix techniques for graph-theory-based mathematical model of unsteady flows in open channel networks
摘要
Abstract
The graph-theory-based mathematical model of unsteady flow in open channel networks is presented. Three incidence tables are used to represent the relationships of vertices-edges, edges-vertices, and vertices-vertices in an open channel network, respectively. The sparse matrix techniques are investigated for the incidence matrix A and adjacency matrix C for water depths at vertices, including their dada structures, compact storage and generation. Finaly, two theorems at adjacency matrix C are proved.关键词
渠网/非恒定流/图论/稀疏矩阵技术Key words
Open channel network/unsteady flow/graph theory and sparse matrix technique分类
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杨开林..基于图论的渠网非恒定流稀疏矩阵技术[J].水利学报,2011,42(12):1416-1422,7.基金项目
国家社会公益专项基金项目 ()