Numerical Modeling of Basin Irrigation with an Upwind Scheme
Publication: Journal of Irrigation and Drainage Engineering
Volume 128, Issue 4
Abstract
In recent years, upwind techniques have been successfully applied in hydrology to simulate two-dimensional free surface flows. Basin irrigation is a surface irrigation system characterized by its potential to use water very efficiently. In basin irrigation, the field is leveled to zero slope and flooded from a point source. The quality of land leveling has been shown to influence irrigation performance drastically. Recently, two-dimensional numerical models have been developed as tools to design and manage basin irrigation systems. In this work, a finite volume-based upwind scheme is used to build a simulation model considering differences in bottom level. The discretization is made on triangular or quadrilateral unstructured grids and the source terms of the equations are given a special treatment. The model is applied to the simulation of two field experiments. Simulation results resulted in a clear improvement over previous simulation efforts and in a close agreement with experimental data. The proposed model has proved its ability to simulate overland flow in the presence of undulated bottom elevations, inflow hydrographs, and colliding fronts.
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References
Abbott, M. B. (1992). Computational hydraulics, Ashgate, Hants, England.
Akanbi, A. A., and Katopodes, N. D.(1988). “Model for flood propagation on initially dry land.” J. Hydraul. Div., Am. Soc. Civ. Eng., 114(7), 689–706.
Bermúdez, A., Derviuex, A., Desideri, J. A., and Vázquez-Cendón, M. E.(1998). “Upwind schemes for the two-dimensional shallow water equations with variable depth using unstructured meshes.” Comput. Methods Appl. Mech. Eng., 155, 49–72.
Bermúdez, A., and Vázquez-Cendón, M. E.(1994). “Upwind methods for hyperbolic conservation laws with source terms.” Comput. Fluids, 23(8), 1049–1071.
Chow, V. T. (1959). Open channel hydraulics, MacGraw-Hill, New York.
Clemmens, A. J., and Strelkoff, T.(1979). “Dimensionless advance for level-basin irrigation.” J. Irrig. Drain. Eng., 105(3), 259–273.
Glaister, P.(1992). “Prediction of supercritical flow in open channels.” Comput. Math. Appl., 24(7), 69–75.
Hirsch, Ch. (1990). Numerical computation of internal and external flows, Wiley, New York.
LeVeque, R. J.(1998). “Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave propagation algorithm,” J. Comput. Phys. 146(1), 346–365.
Merriam, J. L., and Keller, J. (1978). Farm irrigation system evaluation: A guide for management, Utah State Univ., Logan, Utah.
Playán, E., Walker, W. R., and Merkley, G. P.(1994). “Two-dimensionalsimulation of basin irrigation. I: Theory.” J. Irrig. Drain. Eng., 120(5), 837–856.
Playán, E., Faci, J. M., and Serreta, A.(1996). “Modeling microtopography in basin irrigation.” J. Irrig. Drain. Eng., 122(6), 339–347.
Roe, P. L.(1981). “Approximate Riemann solvers, parameter vectors, and difference schemes.” J. Comput. Phys., 43(2), 357–372.
Roe, P. L. (1986). “A basis for upwind differencing of the two-dimensional unsteady Euler equations.” Num. Methods Fluid Dyn. II, Oxford Univ. Press, New York.
Singh, V., and Bhallamudi, S. M.(1997). “Hydrodynamic modeling of basin irrigation.” J. Irrig. Drain. Eng., 123(6), 407–414.
Strelkoff, T.(1969). “One-dimensional equations of open-channel flow.” J. Hydraul. Eng. 95(3), 861–876.
Walker, W. R., and Skogerboe, G. V. (1987). Surface irrigation. Theory and practice, Prentice-Hall, Englewood Cliffs, N.J.
Zapata, N., Playán, E., and Faci, J. M.(2000). “Water reuse in sequential basin irrigation.” J. Irrig. Drain. Eng., 126(6), 362–370.
Zapata, N., and Playán, E.(2000). “Simulating elevation and infiltration in level-basin irrigation.” J. Irrig. Drain. Eng., 126(2), 78–84.
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Information
Published In
Journal of Irrigation and Drainage Engineering
Volume 128 • Issue 4 • August 2002
Pages: 212 - 223
Copyright
Copyright © 2002 American Society of Civil Engineers.
History
Received: Jan 18, 2001
Revised: Oct 15, 2001
Published online: Jul 15, 2002
Published in print: Aug 2002
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