Pseudotransient Continuation Method in Extended Period Simulation of Water Distribution Systems
Publication: Journal of Hydraulic Engineering
Volume 134, Issue 10
Abstract
This paper presents and discusses a new static solver that implements the pseudotransient continuation method for the quasi-steady state analysis, or extended-period simulation of water distribution systems. The implementation is based on the concept of virtual tanks and has a clear physical meaning. The steady state solver described in this paper can analyze a pipe network under pressure deficient conditions and is free from some convergence problems that occur in the Newton-Raphson method-based solvers when analyzing a pipe network with control devices. The numerical examples considered in the paper demonstrate the convergence of the proposed method in cases where existing static solvers (e.g., that of the EPANET 2 hydraulic simulator) fail.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
This work was supported by the National Council of Science and Technology (CONACYT) of Mexico.
References
Ang, W. H., and Jowitt, P. W. (2006). “Solution for water distribution systems under pressure-deficient conditions.” J. Water Resour. Plann. Manage., 132(3), 175–182.
Bhave, P. R. (1988). “Extended period simulation of water systems—Direct solution.” J. Environ. Eng., 114(5), 1146–1159.
Bhave, P. R. (1991). Analysis of flow in water distribution networks, Technomic Publishing Co., Lancaster, Pa.
Boulos, P. F., Lansey, K. E., and Karney, B. W. (2006). Comprehensive water distribution systems analysis handbook for engineers and planners, 2nd Ed., MWH Soft Press, Broomfield, Colo.
Brdys, M., and Ulanicki, B. (1994). Operational control of water systems: Structures, algorithms and applications, Prentice-Hall, Englewood Cliffs, N.J.
Cheung, P. B., Van Zyl, J. E., and Reis, L. F. R. (2005). “Extension of Epanet for pressure driven demand modeling in water distribution system.” CCWI2005 water management for the 21st century, Exeter, U.K.
Coffey, T. S., Kelley, C. T., and Keyes, D. E. (2003). “Pseudo-transient continuation and differential-algebraic equations.” SIAM J. Sci. Comput. (USA), 25(2), 553–569.
Filion, Y. R. (2001). “Extended dynamic network modelling,” MS thesis, Univ. of Toronto, Toronto.
George, A., and Liu, J. W. H. (1981). Computer solution of large sparse positive definite systems, Prentice-Hall, Englewood Cliffs, N.J.
Kelley, C. T., and Keyes, D. E. (1998). “Convergence analysis of pseudo-transient continuation.” SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal., 35(2), 508–523.
Rao, H. S., and Bree, D. W., Jr. (1977). “Extended period simulation of water systems—Part A.” J. Hydr. Div. 103(2), 97–108.
Rao, H. S., Markel, L. C., and Bree, D. W., Jr. (1977). “Extended period simulation of water systems—Part B.” J. Hydr. Div., 103(3), 281–294.
Rossman, L. A. (1999). “Computer models/EPANET.” Water distribution systems handbook, L. W. Mays, ed., McGraw-Hill, New York.
Rossman, L. A. (2000). EPANET 2 users manual, Environmental Protection Agency, Risk Reduction Engineering Laboratory, Cincinnati.
Shimada, M. (1988). “Time-marching approach for pipe steady flows.” J. Hydraul. Eng., 114(11), 1301–1320.
Simpson, A. R. (1999). “Modeling of pressure regulating device: The last major problem to be solved in hydraulic simulation.” Proc., 26th Annual Water Resources Planning and Management Conf., WRPMD'99—Preparing for the 21st Century (CD-ROM), ASCE, Reston, Va.
Ulanicka, K., Ulanicki, B., Rance, J. P., and Coulbeck, B. (1998). “Benchmarks for water networks modelling.” Proc., Hydroinformatics ’98, Int. Association for Hydraulic Research, Rotterdam, The Netherlands, 1469–1476.
Walski, T., Chase, D., Savic, D., Grayman, W., Beckwith, S., and Koelle, E. (2003). Advanced water distribution modeling and management, Haestad Press, Waterbury, Conn.
Wu, Z. Y., Wang, R. H., Walski, T. M., Yang, S. Y., Bowdler, D., and Baggett, C. C. (2006). “Efficient pressure dependent demand model for large water distribution system analysis.” Proc., 8th Annual Water Distribution Systems Analysis Symp., Cincinnati, ⟨ftp://ftp2.bentley.com⟩ (Dec. 5, 2007).
Information & Authors
Information
Published In
Copyright
© 2008 ASCE.
History
Received: Feb 15, 2007
Accepted: Mar 7, 2008
Published online: Oct 1, 2008
Published in print: Oct 2008
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.