Truncated Method of Characteristics for Quasi-Two-Dimensional Water Hammer Model
Publication: Journal of Hydraulic Engineering
Volume 140, Issue 6
Abstract
A new and efficient variant of the method of characteristics for solving the quasi-two-dimensional water hammer model is proposed. The method requires the fully implicit discretization scheme for radial velocity, to eliminate this velocity from the equations for axial velocity and piezometric head. As the radial velocity is typically outside the scope of interest, the computation time is reduced by omitting its calculation. The proposed method is compared with an existing method by means of two water hammer benchmark tests. The results of the two methods practically match, but the proposed method requires approximately 50% less CPU time for the laminar flow test, and 30% for the turbulent one. In addition, the numerical accuracy of four implicit interpolation schemes is compared for the case of laminar flow. The obtained results suggest that the required fully implicit discretization is not a significant limitation of the proposed method. The new method offers high numerical efficiency, while retaining all merits of the existing method.
Get full access to this article
View all available purchase options and get full access to this article.
References
Brunone, B., Golia, U. M., and Greco, M. (1995). “Effects of two-dimensionality on pipe transients modeling.” J. Hydraul. Eng., 906–912.
Holmboe, E. L., and Rouleau, W. T. (1967). “The effect of viscous shear on transients in liquid lines.” J. Basic Eng. Trans. ASME, 89(1), 174–180.
Kita, Y., Adachi, Y., and Hirose, K. (1980). “Periodically oscillating turbulent flow in a pipe.” Bull. JSME, 23(179), 656–664.
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. F., and Chaudry, M. H. (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.
Zhao, M., and Ghidaoui, M. S. (2003). “Efficient quasi-two-dimensional model for water hammer problems.” J. Hydraul. Eng., 1007–1013.
Zielke, W. (1968). “Frequency dependent friction in transient pipe flow.” J. Basic Eng. Trans. ASME, 90(1), 109–115.
Information & Authors
Information
Published In
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Apr 23, 2013
Accepted: Oct 31, 2013
Published online: Nov 4, 2013
Published in print: Jun 1, 2014
Discussion open until: Jul 25, 2014
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.