Flux Vector Splitting Schemes for Water Hammer Flows in Pumping Supply Systems with Air Vessels

Qiang Sun¹, Yuebin Wu^1,2, Ying Xu³,Tae Uk Jang^1,4

(1. School of Municipal £¦ Environmental Engineering, Harbin Institute of Technology, Harbin150090, China;2. State Key Laboratory of Urban Water Resource and Environment, Harbin Institute of Technology, Harbin 150090, China;3. School of Energy and Architecture, Harbin University of Commerce, Harbin 150028, China;4. Department of Mechanics, Kim II-Sung University, Pyong Yang, D. P. R. Korea)



Abstract:

To solve water hammer problems in pipeline systems, many numerical simulation approaches have been developed. This paper improves a flux vector splitting (FVS) scheme whose grid is the same as the fixed-grid MOC scheme. The proposed FVS scheme is used to analyze water hammer problems caused by a pump abrupt shutdown in a pumping system with an air vessel. This paper also proposes a pump-valve-vessel model combining a pump-valve model with an air vessel model. The results show that the data obtained by the FVS scheme are similar to the ones obtained by the fixed-grid method of characteristics (MOC). And the results using the pump-valve-vessel model are almost the same as the ones using both the pump-valve model and the air vessel model. Therefore, it is effective that the proposed FVS scheme is used to solve water hammer problems and the pump-valve-vessel model replaces both the pump-valve model and the air vessel model to simulate water hammer flows in the pumping system with the air vessel.

Key words:  water hammer  method of characteristics  flux vector splitting  air vessel

DOI£º10.11916/j.issn.1005-9113.2015.03.010

Clc Number:TU991

Fund: