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Investigation into Complex Boundary Solutions of Water Filling Process in Pipeline Systems

Department of Hydraulic Engineering, College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310058, China
Department of Engineering, University of Cambridge, Cambridge CB2 1PZ, UK
Author to whom correspondence should be addressed.
Water 2019, 11(4), 641;
Received: 6 March 2019 / Revised: 20 March 2019 / Accepted: 26 March 2019 / Published: 27 March 2019
(This article belongs to the Section Hydraulics)
PDF [6366 KB, uploaded 12 April 2019]


Boundary conditions are usually the key problem in the establishment of a numerical model for simulation. An algorithmic method is needed to obtain a concrete numerical solution when the combined controlling equation sets are difficult to solve analytically. In this research, a type of algorithm known as the double forward method (DFM) is proposed to solve complex boundary conditions. The accuracy of the DFM is controllable, and it was found to be reliable when applying it to the water filling process in a water supply pipeline system. The DFM can also be used to solve multidimensional problems. In addition, the established water filling model in this study combined an open channel flow and a pressured flow, and a surge tank boundary condition was developed to fit the entire water filling process. View Full-Text
Keywords: water hammer; transient flow; numerical simulation; pipe flow water hammer; transient flow; numerical simulation; pipe flow

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Zhang, B.; Wan, W.; Fan, L. Investigation into Complex Boundary Solutions of Water Filling Process in Pipeline Systems. Water 2019, 11, 641.

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