Shooting Method for Saint Venant Equations of Furrow Irrigation
Publication: Journal of Irrigation and Drainage Engineering
Volume 116, Issue 1
Abstract
Flow in surface irrigation is subcritical and downstream conditions can propagate upstream. The shooting or initial‐value method started from the downstream end and proceeded upstream against the flow. Saint Venant hydrodynamic equations were solved cell by cell for flow area and flow rate in the upstream direction, given the advance increment of the wave front and an estimate of the time required to achieve that advance. This was in contrast to the two‐point boundary‐value solution of the full hydrodynamic model where the process started at the upstream end and swept downstream and then upstream during each iteration. Flow area and discharge were solved simultaneously for all nodes and advance distance was calculated for the given time step.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Elliott, R. L., Walker, W. R., and Skogerbee, G. V. (1982). “Zero‐inertia modeling of furrow irrigation advance.” J. Irrig. and Drain. Div., ASCE, 108(3), 179–195.
2.
Jaynes, D. B. (1986). “Simple model of border irrigation.” J. Irrig. and Drain. Engrg., ASCE, 112(2), 172–183.
3.
Katopodes, N. D., and Strelkoff, T. (1977). “Hydraulics of border irrigation—a complete model.” J. Irrig. and Drain. Div., ASCE, 103(3), 309–324.
4.
Keller, H. B. (1968). Numerical methods for two‐point boundary‐value problems. Blaisdell Publishing Company, Waltham, Mass.
5.
Ligget, J. A., and Cunge, J. A. (1975). “Numerical methods of solution of the unsteady flow equations.” Unsteady flow in open channels, K. Mahmood and V. Yevjevich, eds. Vol. 1, Water Resources Publications, Fort Collins, Colo., 89–182.
6.
Oweis, T. Y. (1983). “Surge flow furrow irrigation hydraulics with zero‐inertia,” thesis presented to Utah State University in Logan, Utah, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
7.
Ramsey, M. K. (1976). “Intake characteristics and flow resistance in irrigation furrows,” thesis presented to the University of Arizona at Tucson, Ariz., in partial fulfillment of the requirements for the degree of Master of Science.
8.
Rayej, M., and Wallender, W. W. (1985). “Furrow irrigation simulation time reduction.” J. Irrig. and Drain. Engrg., ASCE, 111(2), 134–146.
9.
Rayej, M., and Wallender, W. W. (1988). “Time solution of kinematic‐wave model with stochastic infiltration.” J. Irrig. and Drain. Engrg., ASCE, 114(4), 605–621.
10.
Schwankl, L. J., and Wallender, W. W. (1988). “Zero‐inertia modeling variable infiltration and hydraulic characteristics.” Trans., American Society of Agricultural Engineers.
11.
Souza, F. (1981). “Nonlinear hydrodynamic model of furrow irrigation,” thesis presented to the University of California at Davis, Calif., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
12.
Strelkoff, T., and Katopodes, N. D. (1977). “Border irrigation hydraulics with zero‐inertia.” J. Irrig. and Drain. Div., ASCE, 103(3), 325–342.
13.
Strelkoff, T., and Souza, F. (1984). “Modeling effects of depth on furrow irrigation.” J. Irrig. and Drain. Engrg., ASCE, 110(4), 375–387.
14.
Wallender, W. W. (1986). “Furrow model with spatially varying infiltration.” Trans., American Society of Agricultural Engineers, 29(4), 1012–1016.
15.
Wallender, W. W., and Rayej, M. (1985). “Zero‐inertia surge model with wet‐dry interface.” Trans., American Society of Agricultural Engineers, 28(5), 1530–1534.
Information & Authors
Information
Published In
Copyright
Copyright © 1990 ASCE.
History
Published online: Jan 1, 1990
Published in print: Jan 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.