Model of Flow in Regulated Open‐Channel Networks
Publication: Journal of Irrigation and Drainage Engineering
Volume 116, Issue 4
Abstract
A numerical model is developed to simulate unsteady flow in open‐channel networks. The model is an improvement over currently available network models in that the effects of hydraulic structures and leakage through the riverbed are incorporated. In addition, a matrix solution method is developed that takes advantage of the banded nature of network problems and, in some cases, reduces the solution time drastically. A method of reducing the bandwidth of the coefficient matrix is presented. Verification by comparison to other solution methods shows close agreement. The computation time using the banded matrix solution routine is compared to a commonly used method for reducing solution time to determine the conditions under which the banded matrix solution is faster. The model presented is useful in simulating gate‐operating rules, analyzing effective flood‐control measures, and comparing water‐delivery schemes over large distances where there is significant loss to leakage.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Amein, M. (1976). “Field application of an implicit numerical method.” Proc. Int. Symp. on Unsteady Flow in Open Channels. British Hydromechanics Res. Assoc., G1‐1–G1‐10.
2.
Daugherty, R. L., Franzini, J. B., and Finnemore, J. E. (1985). Fluid mechanics with engineering applications. McGraw‐Hill Book Co., New York, N.Y.
3.
French, R. H. (1985). Open channel hydraulics. McGraw‐Hill Book Co., New York, N.Y.
4.
Linsley, R. K., Kohler, M. A., and Paulhus, J. L. H. (1982). Hydrology for engineers. McGraw‐Hill Book Co., New York, N.Y.
5.
Management and storage of surface waters, permit information manual. (1986). Resour. Control Dept., South Florida Water Mgmt. District, West Palm Beach, Fla.
6.
Martin, R. S., and Wilkinson, J. H. (1967). “Solution of symmetric and unsym‐metric band equations and the calculations of eigenvectors of band matrices.” Numerische Mathmatik, Springler‐Verlag, New York, N.Y., 9(4), 279–301.
7.
McDonald, M. G., and Harbaugh, A. W. (1984). A modular three‐dimensional finite difference groundwater flow model. U.S. Geologic Survey, Nat. Ctr., Reston, Va.
8.
Quinn, F. H., and Wylie, E. B. (1972). “Transient analyis of the Detroit River by the implicit method.” Water Resour. Res., 8(6), 1461–1469.
9.
Roberson, J. A., and Crowe, C. T. (1980). Engineering fluid mechanics. Houghton Mifflin Co., Boston, Mass.
10.
Schaffranek, R. W. (1987). “Flow model for open channel reach or network.” Prof. Paper 1384, U.S. Geological Survey, U.S. Government Printing Ofc., Washington, D.C.
11.
Swain, E. D. (1988). “A model of flow in regulated open channel networks,” thesis presented to the University of Miami, at Coral Gables, Fla., in partial fulfillment of the requirements for the degree of Master of Science.
12.
Williams, J. J. R., and Chidley, T. R. E. (1976). “Nonlinear analysis of unsteady flow in open channel networks.” Proc. Int. Symp. on Unsteady Flow in Open Channels, British Hydromechanics Res. Assoc., Fluid Engrg., F 1‐1–F 1‐29.
13.
Wylie, E. B., and Streeter, V. L. (1978). Fluid transients. McGraw‐Hill Book Co., New York, N.Y.
Information & Authors
Information
Published In
Journal of Irrigation and Drainage Engineering
Volume 116 • Issue 4 • July 1990
Pages: 537 - 556
Copyright
Copyright © 1990 ASCE.
History
Published online: Jul 1, 1990
Published in print: Jul 1990
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.