Two-Dimensional Simulation Model for Contour Basin Layouts in Southeast Australia. II: Irregular Shape and Multiple Basins
This article is a reply.
VIEW THE ORIGINAL ARTICLEPublication: Journal of Irrigation and Drainage Engineering
Volume 129, Issue 5
Abstract
The development of a two-dimensional simulation model for single regular shape (rectangular) contour basin irrigation layout in southeast Australia is reported in a companion paper. Contour basin layouts as used in Southeast Australia are often irregular in shape and laid out as multiple basin systems. Irrigation of these basins is carried out sequentially involving back flow to the supply channel and inter-basin flow. This paper presents the extension of the earlier model to incorporate irregular shape basins and multiple basin operation. The governing equation is solved by adopting a “split-operator approach” using the method of characteristics coupled with two-dimensional Taylor series expansion for interpolation and calculation of diffusion terms. The numerical solution scheme is based on a grid of quadrilaterals for spatial discretization, to provide geometric flexibility. Infiltration is computed using either the empirical Kostiakov–Lewis equation or the quasianalytical Parlange equation. The model was validated against field data collected from irrigation events monitored on a commercial laser leveled contour layout consisting of five basins.
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References
Clemmmens, A. J., Strelkoff, T., and Dedrick, A. R.(1981). “Development of solution for level-basin design.” J. Irrig. Drain. Eng., 107(3), 265–279.
Glass, J., and Rodi, W.(1982). “A higher order numerical scheme for scalar transport.” Comput. Methods Appl. Mech. Eng., 31, 337–358.
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(5), 292–300.
Holly, F. M., Jr., and Preissmann, A.(1977). “Accurate calculation of transport in two dimensions.” J. Hydraul. Div., Am. Soc. Civ. Eng., 103(11), 1259–1277.
Holly, F. M., Jr., and Toda, K. (1985). “Hybrid numerical schemes for linear and nonlinear advection.” Proc., 21st Congress IAHR, IAHR, Melbourne, Australia.
Holly, F. M., Jr., and Usseglio-Polatera, J. M.(1984). “Dispersion simulation in two-dimensional tidal flow.” J. Hydraul. Eng., 110(7), 905–926.
Hume, I. H.(1993). “Determination of infiltration characteristics by volume balance for border check basin.” Agric. Water Manage., 23, 23–39.
Karpik, R. S., and Crockett, S. R.(1997). “Semi-lagrangian algorithm for two-dimensional advection-diffusion equation on curvilinear coordinate meshes.” J. Hydraul. Eng., 123(5), 389–401.
Khanna, M., Malano, H. M., Fenton, J. D., and Turral, H.(2003). “Two-dimensional simulation model for contour basin layouts in southeastAustralia. I: Rectangular basins.” J. Irrig. Drain. Eng., 129(5), 305–316.
Kochavi, E., Segev, R., and Yomdin, Y.(1991). “Numerical solution of field problems by nonconforming Taylor discretization.” Appl. Math. Model., 15(March), 152–157.
Kochavi, E., Segev, R., and Yomdin, Y.(1993). “Modified algorithms for nonconforming Taylor discretization.” Comput. Struct., 49(6), 969–979.
Komatsu, T., Holly, Jr., F. M., Nakashiki, N., and Ohgushi, K.(1985). “Numerical calculation of pollutant transport in one and two dimensions.” J. Hydrosci. Hydr. Eng., 3(2), 15–30.
Komatsu, T., Ohgushi, K., and Asai, K.(1997). “Refined numerical scheme for advective transport in diffusion simulation.” J. Hydraul. Div., Am. Soc. Civ. Eng., 123(1), 41–50.
Korn, G. A., and Korn, T. M. (1961). Mathematical handbook for scientist and engineers, McGraw–Hill, New York.
Maheshwari, B., and Jayawardarne, N.(1992). “Infiltration characteristics of some clayey soils measured during border irrigation.” Agric. Water Manage., 21, 265–279.
Maheshwari, B., and McMahon, T. A.(1992). “Modeling shallow overland flow in surface irrigation.” J. Irrig. Drain. Eng., 118(2), 201–217.
Playan, E., Walker, W. R., and Merkley, G. P.(1994a). “Two-dimensional simulation of basin irrigation. I: Theory.” J. Irrig. Drain. Eng., 120(5), 837–856.
Playan, E., Walker, W. R., and Merkley, G. P.(1994b). “Two-dimensional simulation of basin irrigation. II: Applications.” J. Irrig. Drain. Eng., 120(5), 857–870.
Press, W. H., Teukolsky, S. A., Vetterling, W. T., and Flannery, B. P. (1989). Numerical recipes, the art of scientific computing (FORTRAN), Cambridge University Press, Cambridge, Mass.
Singh, V. (1996). “Computation of shallow water flow over a porous medium.” PhD dissertation, Indian Institute of Technology, Kanpur, India.
Sonnemans, P. J. M., de Goey, L. P. H., and Nieuwenhuizen, J. K.(1991). “Optimal use of a numerical methods for solving differential equations based on Taylor series expansions.” Int. J. Numer. Methods Eng., 32, 471–499.
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Copyright © 2003 American Society of Civil Engineers.
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Received: Nov 27, 2001
Accepted: Jan 2, 2003
Published online: Sep 15, 2003
Published in print: Oct 2003
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