Nonhydrostatic Model for Surface Irrigation
Publication: Journal of Irrigation and Drainage Engineering
Volume 124, Issue 4
Abstract
A nonhydrostatic model for overland flow is developed for the purpose of providing the framework for predicting the fate and transport of chemicals under surface irrigation. The technique is based on the turbulent Navier-Stokes equations for the surface wave and the Richards equation for the movement of moisture in the underlying porous medium. The model consists of a novel two-dimensional combination of the marker-and-cell and finite-element methods and utilizes a deforming computational grid that automatically adapts to moving wave fronts in the solution. Convergence and conservation tests are performed to demonstrate the robustness of the model. Results are presented for laminar and turbulent flow cases and compared to similar computations based on traditional depth-averaged models.
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References
1.
Ahuja, L. R., DeCoursey, D. G., and Barnes, B. B.(1993). “Characteristics of macropore transport studied with the ARS root zone water quality model.”Trans. ASAE, 36, 369–380.
2.
Akanbi, A. A., and Katopodes, N. D.(1988). “A model for flood propagation on initially dry land.”J. Hydr. Engrg., ASCE, 114(7), 689–706.
3.
Alfrink, B. J., and van Rijn, L. C.(1983). “Two-equation turbulence model for flow in trenches.”J. Hydr. Engrg., ASCE, 109(3), 941–957.
4.
Ashraf, M. S., and Borah, D. K.(1992). “Modeling pollutant transport in runoff and sediment.”Trans. ASAE, 35(6), 1789–1797.
5.
Chapman, R. S., and Kuo, C. Y.(1983). “Application of the two-equation k-ε turbulence model to a two-dimensional, steady, free surface flow problem with separation.”Int. J. Numer. Methods in Fluids, 3, 583–590.
6.
Donigian, A. S., and Huber, W. C. (1990). “Modeling of non-point source water quality in urban and non-urban areas.” U.S. EPA Environmental Research Laboratory, Athens, Ga.
7.
Harlow, F. H., and Welch, E. J.(1965). “Numerical calculation of time-dependent viscous incompressible flows of fluid with free surface.”Phys. of Fluids, 8(12), 365–376.
8.
Huyakorn, P. S., and Pinder, G. F. (1983). Computational methods in subsurface flow. Academic Press, New York, N.Y.
9.
Katopodes, N. D. (1994). “Hydrodynamics of surface irrigation: Vertical structure and mass transport.”J. Irrig. Sci., 15(Oct.), 101–111.
10.
Launder, B. E., and Spalding, D. B.(1974). “The numerical computation of turbulent flow.”Comp. Methods in Appl. Mech. and Engrg., 3, 123–131.
11.
Miyata, H.(1986). “Finite-difference simulation of breaking waves.”J. Computational Phys., 65, 179–214.
12.
Novotny, V., and Chesters, G. (1987). Handbook of non-point pollution sources and management. Van Nostrand Reinhold, New York, N.Y.
13.
Rodi, W. (1988). Turbulence models and their application in hydraulics—a state-of-the-art review. International Association for Hydraulic Research, Delft, The Netherlands.
14.
Strelkoff, T., and Katopodes, N. D.(1977). “Border-irrigation hydraulics with zero inertia.”J. Irrig. and Drain. Engrg., ASCE, 103(3), 325–342.
15.
Tang, J.-H. (1991). “Surge propagation on a porous bed,” PhD thesis, University of Michigan, Ann Arbor, Mich.
16.
Tsaras, Y. G. (1986). “Finite element analysis of surge propagation on a porous bed,” PhD thesis, University of Michigan, Ann Arbor, Mich.
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Copyright © 1998 American Society of Civil Engineers.
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Published online: Jul 1, 1998
Published in print: Jul 1998
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