Two‐Dimensional Simulation of Basin Irrigation. I: Theory
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VIEW THE REPLYPublication: Journal of Irrigation and Drainage Engineering
Volume 120, Issue 5
Abstract
Overland flow of water over a porous bed in two spatial dimensions is governed by three partial differential equations accounting for continuity of momentum in the x‐ and y‐directions and continuity of mass. A leapfrog explicit finite‐difference numerical scheme was applied to solve this system of equations for the initial and boundary conditions that characterize level‐basin irrigation. The numerical procedure is stable and robust for different applications, and can accommodate three different inflow configurations: line, corner, and fan. These configurations simulate inflow from an overflowing canal on a field boundary and at point sources from a corner or in the middle of a straight boundary, respectively. A numerical test was performed to assess the effect of grid fineness on the results of the simulation and on central‐processing‐unit time requirement. Data from two field tests were used to validate the model in quasi—one‐dimensional and two‐dimensional conditions.
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References
1.
Akanbi, A. A. (1986). “Hydrodynamic modeling of two‐dimensional overland flow,” PhD thesis, Univ. of Michigan, Ann Arbor, Mich.
2.
Akanbi, A. A., and Katopodes, N.D. (1988). “Model for flood propagation on initially dry land.” J. Hydr. Engrg., ASCE, 114(7), 689–706.
3.
Bellos, C. V., Soulis, J. V., and Sakkas, J. G. (1988). “Computing 2D unsteady open‐channel flow by finite‐volume method.” Proc. 7th Int. Conf. on Computational Methods in Water Resour., Massachusetts Institute of Technology, Cambridge, Mass.
4.
Casulli, V. (1990). “Semi‐implicit finite difference methods for the two‐dimensional shallow water equations.” J. Comput. Physics, 86, 56–74.
5.
Clemmens, A. J., Strelkoff, T., and Dedrick, A. R. (1981). “Development of solutions for level‐basin design” J. Irrig. Drain. Div., ASCE, 107(3), 265–279.
6.
Cunge, J. A., Holly, F. M. Jr., and Verwey, A. (1980). Practical aspects of comutational river hydraulics, Pitman Publishers, Boston, Mass.
7.
Foreman, M. G. G. (1984). “A two‐dimensional dispersion analysis of selected methods for solving the linearized shallow water equations.” J. Comput. Physics, 56, 287–323.
8.
Katopodes, N. D. (1980). “Finite element model for open channel flow near critical conditions.” Finite elements in water resources III, S. Y. Wang, ed., University of Mississippi Press, University, Miss., 5.37–5.46.
9.
Katopodes, N. D., and Strelkoff, T. (1978). “Computing two‐dimensional dam‐break flood waves.” J. Hydr. Div., ASCE, 104(9), 1269–1288.
10.
Katopodes, N. D., and Wu, C. (1986). “Explicit computation of discontinuous channel flow.” J. Hydr. Engr., ASCE, 112(6), 456–475.
11.
Ligget, J. A., and Cunge, J. A. (1975). “Numerical methods of solution of the unsteady flow equations.” Unsteady flow in open channels, Water Resources Publications, Fort Collings, Colo.
12.
Mader, C. L. (1988). Numerical modeling of water waves. University of California Press, Berkeley, Calif.
13.
Playán, E. (1992). “Two‐dimensional hydrodynamic simulation of basin irrigation: analysis of field shape effects on irrigation performance,” PhD thesis, Utah State Univ., Logan, Utah.
14.
Playán, E., Merkley, G. P., and Walker, W. R. (1992). B2D, two‐dimensional basin irrigation simulation model: user's guide, Department of Biological and Irrigation Engineering, Utah State Univ., Logan, Utah.
15.
Playán, E., Walker, W. R., and Merkley, G. P. (1994). “Two‐dimensional simulation of basin irrigation. II: applications.” J. Irrig. Drain. Engrg., ASCE, 120(5), 857–870.
16.
Reid, R. O., and Bodine, B. R. (1968). “Numerical model for storm surges in Galveston Bay.” J. Waterways and Harbors Div., ASCE, 94(1), 33–57.
17.
“SIRMOD, the surface irrigation simulation model: user's guide.” (1989). Irrigation Software Engineering Div., Dept. of Biological and Irrigation Engineering, Utah State Univ., Logan, Utah.
18.
Strelkoff, T., and Katopodes, N. D. (1977). “Border irrigation hydraulics with zero inertia.” J. Irrig. Drain. Div., ASCE, 103(3), 325–342.
19.
Thacker, W. C. (1977). “Irregular finite difference techniques: simulations of oscillations in shallow circular basins.” J. Physical Oceanography, 7, 284–292.
20.
Walker, W. R., and Skogerboe, G. V. (1987). Surface irrigation, theory and practice. Prentice‐Hall, Englewood Cliffs, N.J.
21.
Walters, R. A., and Cheng, R. T. (1979). “A two‐dimensional hydrodynamic model of a tidal estuary.” Advances in water resources, 1979(2), 177–184.
22.
Xanthopoulos, T., and Koutitas, C. (1976). “Numerical simulation of a two‐dimensional flood wave propagation due to dam failure.” J. Hydr. Res., 14(4), 321–331.
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Published In
Journal of Irrigation and Drainage Engineering
Volume 120 • Issue 5 • September 1994
Pages: 837 - 856
Copyright
Copyright © 1994 American Society of Civil Engineers.
History
Received: Nov 19, 1992
Published online: Sep 1, 1994
Published in print: Sep 1994
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