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基于图论的渠网非恒定流稀疏矩阵技术

杨开林

水利学报2011,Vol.42Issue(12):1416-1422,7.
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

杨开林1

作者信息

  • 1. 中国水利水电科学研究院流域水循环模拟与调控国家重点实验室,北京100038
  • 折叠

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

建筑与水利

引用本文复制引用

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 ()

水利学报

OA北大核心CSCDCSTPCD

0559-9350

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