摘要
基于明渠非恒定流普里斯曼的隐式差分方法,采用矩阵线性变换建立了渠道进出口流量与水深的线性方程。提出了新的渠网非恒定流图论原理,包括适应渠网非恒定流特征的节支关联矩阵A的构建方法及性质分析,基于A的节点连续性矩阵方程和节点水深矩阵方程等。应用矩阵分析方法,推导出渠网非恒定流的节点分析法数学模型,最后给出应用实例。
Based on Preissman's implicit differential method for unsteady flows in open channel networks,the linear equations of the flow increments and water depth increments at the inlet and outlet of every channel are deduced by a linear transformation.A new graph theory methodology is presented for analysis of the unsteady flows in open channel network,including the structure and characteristics of the incidence matrix A,continuity equation and energy equation with matrix A.A node method is deduced to solve the no...
出处
《水利学报》
EI
CSCD
北大核心
2009年第11期1281-1289,共9页
Journal of Hydraulic Engineering
基金
国家社会公益专项基金项目(126301041003)
关键词
渠网
非恒定流
图论原理
矩阵
节点分析法
Open channel network
unsteady state flow
graph theory
matrix and node water depth method
