Efficient solution of the coupled one-dimensional surface - Two-dimensional subsurface flow during furrow irrigation advance

Journal of Irrigation and Drainage Engineering

Volumn 132, Issue 4, 2006, Pages 380-388

  Wohling, Th ^a   Frohner A ^b   Schmitz, G H ^b   Liedl, R ^b  

^a LINCOLN AGRITECH LTD   (New Zealand)

^b DRESDEN UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

Analytical techniques; Coupling; Furrow irrigation; Infiltration; Mathematical models; Overland flow; Subsurface flow; Two dimensional models

Indexed keywords

COMPUTATIONAL COMPLEXITY; COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; FLOW OF WATER; FORECASTING; MATHEMATICAL MODELS; NEWTONIAN FLOW; NONLINEAR EQUATIONS;

ANALYTICAL TECHNIQUES; FURROW ADVANCE PHASE MODEL (FAPS); OVERLAND FLOW; SUBSURFACE FLOW; SURFACE FLOW MODEL; TWO-DIMENSIONAL MODELS;

IRRIGATION;

COMPUTATIONAL COMPLEXITY; COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; FLOW OF WATER; FORECASTING; IRRIGATION; MATHEMATICAL MODELS; NEWTONIAN FLOW; NONLINEAR EQUATIONS;

FLOW MODELING; FURROW IRRIGATION; HYDROLOGICAL RESPONSE; INFILTRATION; INFLOW; SIMULATION; SUBSURFACE FLOW; THREE-DIMENSIONAL MODELING;

EID: 33746138853     PISSN: 07339437     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9437(2006)132:4(380)     Document Type: Article

References (24)

1. Alazba, A. A. (1999). "Simulating furrow irrigation with different inflow patterns." J. Irrig. Drain. Eng., 125(1), 12-18.
2. ASCE. (1993). "Task committee on definition of watershed models of the watershed management committee, Irrigation and drainage division: Criteria for evaluation of watershed models." J. Irrig. Drain. Eng., 119(3), 429-442.
3. Diersch, H.-J. G., and Perrochet, P. (1999). "On the primary variable switching technique for simulating unsaturated-saturated flows." Adv. Water Resour., 23, 271-301.
4. Elliott, R. L., and Walker, W. R. (1982). "Field evaluation of furrow infiltration and advance functions." Trans. Am. Soc. Civ. Eng., 25(2), 396-400.
5. Encisco-Medina, J., Martin, D., and Eisenhauer, D. (1998). "Infiltration model for furrow irrigation." J. Irrig. Drain. Eng., 124(2), 73-80.
6. Fonteh, M. F., and Podmore, T. (1994). "Furrow irrigation with physically based spatially varying infiltration." J. Agric. Eng. Res., 57(4), 229-236.
7. Oweis, T. Y., and Walker, W. R. (1990). "Zero-inertia model for surge irrigation." Irrig. Sci., 11(3), 131-136.
8. Ross, P. (1986). "Zero-inertia and kinematic wave models for furrow and border irrigation." Unpublished notes, CSIRO Division of Soil, Townsville, Australia.
9. Sanchez, C. A., Zerihun, D., Warrik, A. W., and Furman, A. (2003). "Efficient surface fertigation of high value horticulture crops." Western Nutrient Management Conf., Vol. 5, Salt Lake City.
10. Schmitz, G. H. (1989). "Strömungsvorgänge auf der Oberfläche und im Bodeninneren beim Bewässerungslandbau." Versuchsanstalt für Wasserbau und Wassermengenwirtschaft. München, 60, 1-200 (in German).
11. Schmitz, G. H., Liedl, R., and Volker, R. E. (2002). "Analytical solution to the zero-inertia problem for surge flow phenomena in nonprismatic channels." J. Hydraul. Eng., 128(6), 604-615.
12. Schmitz, G. H., and Seus, G. J. (1990). "Mathematical zero-inertia modeling of surface irrigation: Advance in borders." J. Irrig. Drain. Eng., 116(5), 603-615.
13. Schmitz, G. H., and Seus, G. J. (1992). "Mathematical zero-inertia modeling of surface irrigation: Advance in furrows." J. Irrig. Drain. Eng., 118(1), 1-18.
14. Schwankl, L. J., Raghuwanshi, N. S., and Wallender, W. W. (2000). "Furrow irrigation performance under spatially varying conditions." J. Irrig. Drain. Eng., 126(6), 355-361.
15. Schwankl, L. J., and Wallender, W. W. (1988). "Zero-Inertia furrow modeling with variable infiltration and hydraulic characteristics." Trans. ASAE, 31(5), 1470-1475.
16. Simúnek, J., Sejna, M., and van Genuchten, M. T. (1996). "Simulating water flow and solute transport in two-dimensional variably saturated media." HYDRUS 2D version 1.0, User manual, International Ground Water Modeling Center, Colorado School of Mines, Golden, Colo.
17. Strelkoff, T., and Katopodes, N. D. (1977). "Border irrigation hydraulics with zero-inertia." J. Irrig. Drain. Div., 103(3), 325-342.
18. Tabuada, M. A., Rego, Z. J. C., Vachaud, G., and Pereira, L. S. (1995). "Modeling of furrow irrigation. Advance with two-dimensional infiltration." Agric. Water Manage., 28(3), 201-221.
19. van Genuchten, T. M. (1980). "A closed-form equation for predicting the hydraulic conductivity of unsaturated soils." Soil Sci. Soc. Am. J., 44, 892-898.
20. Vogel, T., and Hopmans, J. W. (1992). "Two-dimensional analysis of furrow infiltration." J. Irrig. Drain. Eng., 118(5), 791-806.
21. Vogel, T., van Genuchten, M. T., and Cislerova, M. (2001). "Effect of the shape of the soil hydraulic functions near saturation on variably-saturated flow predictions." Adv. Water Resour., 24, 133-144.
22. Walker, W. R., and Humpherys, A. S. (1983). "Kinematic-wave furrow irrigation model." J. Irrig. Drain. Eng., 109(4), 377-392.
23. Wöhling, Th. (2005). "Physically based modeling of furrow irrigation systems during a growing season." Ph.D. thesis, Technische Universität Dresden, Institute of Hydrology and Meteorology, Dresden, Germany.
24. Wöhling, Th., Singh, R., and Schmitz, G. H. (2004). "Physically based modeling of interactive surface-subsurface flow during furrow irrigation advance." J. Irrig. Drain. Eng., 130(5), 349-356.