The Equivalence of Path and Node Methods for Water Distribution Network Analysisby Jinhong Zhou, San Diego State Univ, San Diego, United States,
Abstract: This paper deals with the equivalence between commonly employed methods, path and node adjustment methods, for analyzing water distribution networks. The basic equations for steady-state flows in pipes are set up in terms of matrices. The path method is set to solve for flow correction in loops, while the node method is for energy grades at junction nodes. It has been proved by linear graph and algebra theories that iterative procedures of the path and node methods may yield identical results. An example will illustrate the equivalence numerically.
Subject Headings: Network analysis | Steady states | Steady flow | Energy methods | Water management | Pipe flow | Pipes | Matrix (mathematics)
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