Efficient Quasi-Two-Dimensional Water Hammer Model on a Characteristic Grid
Publication: Journal of Hydraulic Engineering
Volume 142, Issue 12
Abstract
This note proposes a new quasi-two-dimensional (quasi-2D) numerical scheme for simulating a water hammer that significantly reduces the computational burden compared to two existing quasi-2D schemes, as numerically demonstrated in this note by application to a reservoir-pipe-valve system. Computational cost is decreased through using one-dimensional (1D), rather than two-dimensional equations for pressure head and discharge and using a staggered grid with half of the computational nodes compared to a rectangular grid. It is valid to use the proposed 1D characteristic equations for the pressure head and discharge, as it is proved that these yield identical results to explicit quasi-2D solution procedures previously introduced in the literature.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
This research is supported by the National Natural Science Foundation of China (No. 51208160) and the Foundation for Distinguished Young Talents in Higher Education of Heilongjiang Province, China (UNPYSCT-2015072).
References
Ghidaoui, M. S., Zhao, M., McInnis, D. A., and Axworthy, D. H. (2005). “A review of water hammer theory and practice.” Appl. Mech. Rev., 58(1), 49–76.
Korbar, R., Virag, Z., and Šavar, M. (2014a). “Efficient solution method for quasi two-dimensional model of water hammer.” J. Hydraul. Res., 52(4), 575–579.
Korbar, R., Virag, Z., and Šavar, M. (2014b). “Truncated method of characteristics for quasi-two-dimensional water hammer model.” J. Hydraul. Eng., 04014013.
Ohmi, M., Kyomen, S., and Usui, T. (1985). “Numerical analysis of transient turbulent flow in a liquid line.” Bull. JSME, 28(239), 799–806.
Pezzinga, G. (1999). “Quasi-2D model for unsteady flow in pipe networks.” J. Hydraul. Eng., 676–685.
Silva-Araya, W., and Chaudhry, M. (1997). “Computation of energy dissipation in transient flow.” J. Hydraul. Eng., 108–115.
Vardy, A. E., and Hwang, K. L. (1991). “A characteristics model of transient friction in pipes.” J. Hydraul. Res., 29(5), 669–684.
Wylie, E. B., and Streeter, V. L. (1993). Fluid transients in systems, Prentice-Hall, Englewood Cliffs, NJ.
Zhao, M., and Ghidaoui, M. (2003). “Efficient quasi-two-dimensional model for water hammer problems.” J. Hydraul. Eng., 1007–1013.
Information & Authors
Information
Published In
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Nov 19, 2015
Accepted: Jun 8, 2016
Published online: Jul 27, 2016
Published in print: Dec 1, 2016
Discussion open until: Dec 27, 2016
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.