| 杨开林.渠网非恒定流图论原理[J].水利学报,2009,40(11): |
| 渠网非恒定流图论原理 |
| A graph theory mathematical model for unsteady flows in open channel networks |
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| DOI： |
| 中文关键词: 渠网 非恒定流 图论原理 矩阵 节点分析法 |
| 英文关键词: Open channel network unsteady state flow graph theory matrix and node water depth method |
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| 中文摘要: |
| 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。 |
| 英文摘要: |
| 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 node water depths in the networks. Finally, this method is used to compute the unsteady flows in a water diversion networks. |
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