TECHNICAL PAPERS
Aug 1, 1997

Efficient Valve Representation in Fixed-Grid Characteristics Method

Publication: Journal of Hydraulic Engineering
Volume 123, Issue 8

Abstract

This work formulates a unified set of boundary conditions to efficiently represent the majority of valve and orifice devices found in water supply, transmission, and distribution systems. A particularly useful combination of mathematical components results when a lumped inertia model is linked with a throttling device. This combination of elements, termed a pipe replacement element/valve-in-line (PREVIL), has been constructed to permit a wide range of control-valve/short-pipe combinations to be conveniently modeled with the method of characteristics. The solution is quadratic in form and explicit, regardless of the number of pipes that are connected to the boundary condition. A variety of on-off and modulating valves can be accurately handled within this framework. An additional feature developed in this treatment of pressure-reducing and pressure-sustaining valves, flow controllers, and other similar devices permits a more realistic representation of these important control devices. The response time of the regulating valve on opening or closing can be readily approximated so that a greater range of control behavior can be simulated. Application of the combined boundary condition is illustrated in a pipe network.

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References

1.
Chaudhry, M. (1987). Applied hydraulic transients. Van Nostrand Reinhold, New York, N.Y.
2.
Gear, C. W. (1971). Numerical initial value problems in ordinary differential equations. Prentice-Hall, Inc., Englewood Cliffs, N.J.
3.
Ghidaoui, M. S., and Karney, B. W. (1992). “Time discretization in fixed grid method of characteristics.”Proc., Annu. Conf., Canadian Soc. of Civ. Engrs. (CSCE), Quebec, Que., 367–376.
4.
Golub, G. H., and Ortega, J. M. (1992). Scientific computing and differential equations. Academic Press, Inc., Boston, Mass.
5.
Karney, B. W.(1990). “Energy relations in transient closed-conduit flow.”J. Hydr. Engrg., ASCE, 116(10), 1180–1196.
6.
Karney, B. W., and McInnis, D. A.(1990). “Transient analysis of water distribution systems.”J. AWWA, 82(7), 62–70.
7.
Karney, B. W., and McInnis, D. A.(1992). “Efficient calculation of transient flow in simple pipe networks.”J. Hydr. Engrg., ASCE, 118(7), 1014–1030.
8.
Lai, C.(1989). “Comprehensive method of characteristics models for flow simulation.”J. Hydr. Engrg., ASCE, 114(9), 1074–1095.
9.
Miranker, W. L. (1981). Numerical methods for stiff equations and singular perturbation problems. D. Reidel Publishing Co., Dordrecht, The Netherlands.
10.
Press, W. H., Teukolsky, S. A., Vetterling, W. T., and Flannery, B. P. (1992). Numerical recipes in C. Cambridge University Press, Cambridge, U.K.
11.
Shampine, L. F. (1994). Numerical solution of ordinary differential equations. Chapman & Hall, New York, N.Y.
12.
Wylie, E. B., and Streeter, V. L. (1982). Fluid transients. Feb Press, Ann Arbor, Mich.
13.
Wylie, E. B., and Streeter, V. L. (1993). Fluid transients in systems. Prentice-Hall, Inc., Englewood Cliffs, N.J.

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Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 123Issue 8August 1997
Pages: 709 - 718

History

Published online: Aug 1, 1997
Published in print: Aug 1997

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Authors

Affiliations

Duncan A. McInnis
Tech. Program Mgr., Res. Ctr., The Hong Kong Univ. of Sci. and Technol., Hong Kong, China.
Bryan W. Karney, Member, ASCE,
Prof., Dept. of Civ. Engrg., Univ. of Toronto, Toronto, ON M5S 1A4, Canada.
David H. Axworthy
Grad. Student, Dept. of Civ. Engrg., Univ. of Toronto, Toronto, ON M5S 1A4, Canada.

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