Computation Method for Regulating Unsteady Flow in Open Channels
Publication: Journal of Irrigation and Drainage Engineering
Volume 118, Issue 5
Abstract
Unsteady flow problems in open channels can be classified as simulation‐ and operation‐type problems, according to the objectives of the study. The simulation problem is for predicting the discharge and water level in the channel during the future time series under given conditions. The operation problem, on the other hand, is for defining inflow at the upstream end of the channel or the operation schedule of controlling structures in order to get the desired outflow at the downstream end of the channel. In this paper, a finite difference computation method is derived for solving operation‐type problems in open channels. The method is explicit and numerically stable. It was applied to solve the St. Venant equations, discretized by the Preissmann scheme. The computation results were compared with the results obtained using the double‐sweep method, and there was good agreement between the two methods. The complete momentum equation was used in both methods. This computation method is called a backward‐operation method since it is for solving operation‐type problems, and the computation is performed backward both in space and time.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Abbott, M. B. (1979). Computational hydraulics. Pitman, London, U.K.
2.
Ahn, B. C. (1990). “A numerical model to simulate flow in irrigation canal systems,” Masters dissertation, Center for Irrigation Engineering, Katholieke Univ. Leuven, at Leuven, Belgium.
3.
Bodley, W. E., and Wylie, E. B. (1978). “Control of transients in series channel with gates.” J. Hydr. Div., ASCE, 104(10), 1395–1407.
4.
Courant, R., Friedrichs, K. O., and Lewy, H. (1928). “On the partial difference equations of mathematical physics.” Math. Ann., 32–74, (in German).
5.
Cunge, J. A., Holly, F. M., and Verwey, A. (1980). Practical aspects of computational hydraulics. Pitman, London, England.
6.
Falvey, H. T., and Luning, P. C. (1979). “Gate stroking.” Report REC‐ERC‐79‐7, U.S. Department of the Interior, Bureau of Reclamation, Washington, D.C.
7.
Falvey, H. T. (1987). “Philosophy and implementation of gate stroking.” Proc., Symp. on Planning, operation, rehabilitation and automation of irrigation water delivery systems, ASCE, New York, N.Y., 176–179.
8.
Fread, D. L. (1974). “Numerical properties of implicit four‐point finite difference equations of unsteady flow.” Tech. Memorandum HYDRO‐18, National Oceanic and Atmospheric Administration, National Weather Service, Washington, D.C.
9.
Gichuki, F. N., Walker, W. R., and Merkley, G. P. (1990). “Transient hydraulic model for simulating canal‐network operation.” J. Irrig. and Drain. Engrg., ASCE, 116(1), 67–81.
10.
Gientke, F. J. (1974). “Transient control in lower Sacramento River.” J. Hydr. Div., ASCE, 100(3), 405–424.
11.
Hromadka II, T. V., Durbin, T. J., and Devries, J. J. (1985). “Open channel flow hydraulics.” Computer methods in water resources, Lighthouse Publications, Mission Viejo, Calif.
12.
Husain, T., Khan, H. V., and Khan, S. M. (1991). “Dynamic‐node‐numbering concept in channel network model.” J. Irrig. and Drain. Engrg., ASCE, 117(1), 48–63.
13.
Liggett, J. A., and Cunge, J. A. (1975). “Numerical methods of solution of the unsteady flow equations.” Unsteady flow in open channels, Vol. I, K. Mahmood and V. Yevjevich, eds., Water Resources Publications, Fort Collins, Colo.
14.
Lyn, D. A., and Goodwin, P. (1987). “Stability of a general Preissmann scheme.” J. Hydr. Engrg., ASCE, 113(1), 16–28.
15.
Preissmann, A. (1961). “Propagation des intumescences dans les canaux et rivieres.” First Congress of the French Association for Computation, AFCAL Grenoble, France, 433–442 (in French).
16.
Samuels, P. G., and Skeels, C. P. (1990). “Stability limits for Preissmann's scheme.” J. Hydr. Engrg., ASCE, 116(8), 997–1012.
17.
Swain, E. D., and Chin, D. A. (1991). “Model of flow in regulated open‐channel networks.” J. Irrig. and Drain. Engrg., ASCE, 116(4), 537–556.
18.
Wylie, E. B. (1969). “Control of transient free‐surface flow.” J. Hydr. Div., ASCE, 95(1), 347–361.
Information & Authors
Information
Published In
Copyright
Copyright © 1992 ASCE.
History
Published online: Sep 1, 1992
Published in print: Sep 1992
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.