Complete Hydrodynamic Border-Strip Irrigation Model
This article has a reply.
VIEW THE REPLYPublication: Journal of Irrigation and Drainage Engineering
Volume 122, Issue 4
Abstract
In this study, a hydrodynamic model is presented for simulating all the phases of border-strip irrigation. The explicit, second-order accurate MacCormack scheme is used for solving the governing equations of surface irrigation. In this method, the advance and recession fronts need not be considered explicitly and any infiltration equation can be coupled to the surface flow equations easily. The empirical Kostiakov equation (Model 1DKO) and the analytical Parlange equation (Model 1DPA) for infiltration are considered in this study. The implicit Parlange equation is solved using the Newton-Raphson technique. The models are validated using the experimental data available in literature. The present results are also compared with the earlier numerical results based on the characteristic method. A simple subgrid technique is introduced in order to obtain a high grid resolution near the advancing front and at the same time achieve a minimum computational cost. This is based on using two different grid sizes for computation. An equation for the optimum grid size ratio is presented and is validated using numerical experimentation.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Abbott, M. B. (1985). Computational hydraulics: Elements of the theory of free surface flows . Pitman, London, England.
2.
Bassett, D. L.(1972). “Mathematical model of water advance in border irrigation.”Trans., ASAE, 15(5), 992–995.
3.
Bassett, D. L., and Fitzsimmons, D. W.(1976). “Simulating overland flow in border irrigation.”Trans., ASAE, 19(4), 666–671.
4.
Bautista, E., and Wallender, W. W.(1992). “Hydrodynamic furrow irrigation model with specified space steps.”J. Irrig. and Drain. Engrg., ASCE, 118(3), 450–465.
5.
Bautista, E., and Wallender, W. W.(1993). “Identification of furrow intake parameters from advance times and rates.”J. Irrig. and Drain Engrg., ASCE, 119(2), 295–311.
6.
Chaudhry, M. H. (1993). Open-channel flow . Prentice-Hall, Englewood Cliffs, N.J.
7.
Haverkamp, R., Parlange, J. Y., Starr, J. L., Schmitz, G., and Fuentes, C.(1990). “Infiltration under ponded conditions. 3: A predictive equation based on physical parameters.”Soil Sci., 149(4), 292–300.
8.
Jaynes, D. B.(1986). “Simple model of border irrigation.”J. Irrig. and Drain. Engrg., ASCE, 112(2), 172–184.
9.
Katopodes, N. D., and Strelkoff, T. (1977). “Hydrodynamics of border irrigation-complete model.”J. Irrig. and Drain. Div., ASCE, 103(3), 309–323.
10.
Kincaid, D. C., Heermann, D. F., and Kruse, E. G.(1972). “Hydrodynamics of border irrigation advance.”Trans., ASAE, 15(4), 674–680.
11.
Parlange, J. Y., Haverkamp, R., and Touma, J.(1985). “Infiltration under ponded condition. 1: Optimal analytical solution and comparison with experimental observation.”Soil Sci., 139(4), 305–311.
12.
Playan, E., Walker, W. R., and Merkley, G. P.(1994). “Two-dimensional simulation of basin irrigation. I: Theory.”J. Irrig. and Drain. Engrg., ASCE, 120(5), 837–855.
13.
Roth, R. L., Fonken, D. W., Fangmeier, D. D., and Atchison, K. T.(1974). “Data for border irrigation models.”Trans., ASAE, 17(1), 157–161.
14.
Sakkas, J. G., and Strelkoff, T.(1974). “Hydrodynamics of surface irrigation—advance phase.”J. Irrig. and Drain. Div., ASCE, 100(1), 31–48.
15.
Schmitz, G., Haverkamp, R., and Palacios, O.(1985). “A coupled surface-subsurface model for shallow water flow over initially dry soil.”Proc., 21st Congr. IAHR, Int. Assoc. for Hydr. Res., 1, 23–30.
16.
Wallender, W. W., and Rayej, M.(1990). “Shooting method for Saint-Venant equations for furrow irrigation.”J. Irrig. and Drain. Engrg., ASCE, 116(1), 114–122.
Information & Authors
Information
Published In
Copyright
Copyright © 1996 American Society of Civil Engineers.
History
Published online: Jul 1, 1996
Published in print: Jul 1996
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.