Numerical Calculation of Infiltration in Furrow Irrigation Simulation Models
Publication: Journal of Irrigation and Drainage Engineering
Volume 119, Issue 2
Abstract
The computation of wetted‐perimeter‐dependent intake in a furrow irrigation simulation model using an empirical infiltration formula was examined. Different formulations were applied under increasing and decreasing depth of flow (and wetted‐perimeter) conditions. Four computational methods were compared for the former condition and only one was tested for the latter. The merit of the procedures was evaluated in relation to the performance of a finite difference unsteady surface flow model. The hydraulic model was developed using fixed spatial increments and variable time steps and solved with a shooting technique. Differences in advance trajectory resulted from application of each formulation, and numerical accuracy was also different with each computational method. Convergence of the shooting solution was obtained with all infiltration formulas during the advance phase, but there were noticeable differences in convergence rate. Only one of the formulas provided consistent results during storage and recession calculations. Numerical instability resulted as well from the application of the procedures with limited convergence.
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References
1.
Bautista, E., and Wallender, W. W. (1992). “Hydrodynamic furrow irrigation model with specified space steps.” J. Irrig. Drain. Engrg., ASCE, 118(3), 450–465.
2.
Fangmeier, D. D., and Ramsey, M. K. (1978). “Intake characteristics of irrigation furrows.” Trans. ASAE, 21(4), 696–700, 705.
3.
Schwankl, L. J., and Wallender, W. W. (1988). “Zero‐inertia furrow modeling with variable infiltration and hydraulic characteristics.” Trans. ASAE, 31(5), 1470–1475.
4.
Strelkoff, T., and Souza, F. (1984). “Modeling effect of depth on furrow infiltration.” J. Irrig. Drain. Engrg., ASCE, 110(4), 375–387.
5.
Wallender, W. W., and Rayej, M. (1990). “Shooting method for Saint Venant equations of furrow irrigation.” J. Irrig. Drain. Engrg., ASCE, 116(1), 114–122.
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Copyright © 1993 American Society of Civil Engineers.
History
Received: Oct 1, 1991
Published online: Mar 1, 1993
Published in print: Mar 1993
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