Author(s): H. Lekane

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Abstract: Calculation of steady-state pressure and flow distributions in a water network is an important requirement for network operators and planners. The SWAN model described in this report is suitable for simulation of networks comprising pipes, non-return and pressure-reducing valves, pumps and storage tanks or reservoirs. Mathematical formulation of the model is based on description of its hydraulic elements by algebraic equations and nodal topological network analysis procedure. The non-linear model equations are solved by application of the NEWTON-RAPHSON method. Used in conjunction with sparse matrix triangularization and convergence acceleration procedures, this method can be used to calculate large networks, whilst maintaining calculation times and the amount of data storage within reasonable limits. An application of the SWAN model to test and real networks is presented as an example.

DOI: https://doi.org/10.1080/00221687909499593

Year: 1979