Two-Dimensional Basin Flow with Irregular Bottom Configuration
This article has a reply.
VIEW THE REPLYPublication: Journal of Irrigation and Drainage Engineering
Volume 129, Issue 6
Abstract
Two-dimensional flow from a point or line source is simulated in an irrigated basin with a nonlevel soil surface; the goal is to predict the distribution uniformity of infiltrated depths. The zero-inertia approximation to the equations of motion allows computation in both wet and dry areas. A fully implicit, nonlinear finite-difference scheme is developed for the solution, but practical numerical considerations suggest local linearization instead. Both isotropic and anisotropic resistance to flow are considered. Results in basins with irregular bottom configurations and small inflows show stream advance confined to the lowest elevations in the basin.
Get full access to this article
View all available purchase options and get full access to this article.
References
Al-Tamimi, A. H. J. (1995). “Two-dimensional transient flow in non-level irrigation basins.” PhD dissertation, Dept. of Agricultural and Biosystems Engineering, Univ. of Arizona, Tucson, Ariz., UMI No. 9622972, Dissertation Abstracts International, 57(3B), UMI Ann Arbor, Mich.
Boas, M. L. (1966). Mathematical methods in the physical sciences, Wiley, New York.
Brufau, P., Garca-Navarro, P., Playán, E., and Zapata, N.(2002). “Numerical modeling of basin irrigation with an upwind scheme.” J. Irrig. Drain. Eng., 128(4), 212–223.
Carnahan, B., Luther, H. A., and Wilkes, J. O. (1969). Applied numerical methods, Wiley, New York.
Carslaw, H. S., and Jaeger, J. C. (1959). Conduction of heat in solids, Oxford University Press, London.
Clemmens, A. J.(1981). “Evaluation of infiltration measurements for border irrigation.” Agric. Water Manage., 3, 251–267.
Clemmens, A. J., and Dedrick, A. R.(1981). “Estimating distribution uniformity in level basins.” Trans. ASAE, 24(5), 1177–1180.
1981). “Estimating distribution uniformity in level basins.” IBID24(5), 1187.
Clemmens, A. J., Strelkoff, T. S., and Playán, E.(2003). “Field verification of two-dimensional surface irrigation model.” J. Irrig. Drain. Eng., 129(6), 402–411.
Crank, J. (1956). The mathematics of diffusion, Oxford University Press, London.
Kostiakov, A. N. (1932). “On the dynamics of the coefficient of water percolation in soils and on the necessity for studying it from a dynamic point of view for purposes of amelioration.” Trans., 6th Comm., International Society of Soil Scientists, Moscow, Part A, 17–21 (in Russian).
Playán, E., Faci, J. M., and Serreta, A.(1996). “Modeling microtopography in basin irrigation.” J. Irrig. Drain. Eng., 122(6), 339–347.
Playán, E., Walker, W. R., and Merkley, G. P.(1994). “Two-dimensional simulation of basin irrigation. I: Theory.” J. Irrig. Drain. Eng., 120(5), 837–856.
Press, W. H., Teukolsky, S. A., Vetterling, W. T., and Flannery, B. P. (2001). Numerical recipes in Fortran 77: The art of scientific computing, 2nd Ed., Vol. 1, Cambridge University Press, New York.
Rouse, H., ed. 1959. Advanced mechanics of fluids, Wiley, New York.
Strelkoff, T.(1970). “Numerical solution of Saint-Venant equations.” J. Hydraul. Eng., 96(1), 223–252.
Strelkoff, T. S., Clemmens, A. J., and Schmidt, B. V. (1998). SRFR, Version 3.31–A model for simulating surface irrigation in borders, basins and furrows, U.S. Water Conservation Laboratory, USDA/ARS, Phoenix.
von Neumann, J. (1963). “First report on the numerical calculation of flow problems,” Paper No. 19, John von Neumann collected works, A. H. Taub, gen. ed., Vol. V, Pergamon, Tarrytown, N.Y., 664–712.
Xanthopoulos, T., and Koutitas, C.(1976). “Numerical simulation of a two-dimensional flood wave propagation due to dam failure.” J. Hydraul. Res., 14(4), 321–331.
Information & Authors
Information
Published In
Journal of Irrigation and Drainage Engineering
Volume 129 • Issue 6 • December 2003
Pages: 391 - 401
Copyright
Copyright © 2003 American Society of Civil Engineers.
History
Received: Aug 22, 2000
Accepted: Dec 16, 2002
Published online: Nov 14, 2003
Published in print: Dec 2003
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.