Technical Papers
Mar 3, 2016

Fully Hydrodynamic Coupled Simulation of Surface Flows in Irrigation Furrow Networks

Publication: Journal of Irrigation and Drainage Engineering
Volume 142, Issue 6

Abstract

Saint-Venant equations are accurately solved by a fully implicit solution, and a numerical model for furrow water flow is proposed with unconditional stability. Furthermore, this numerical model is extended to furrow networks. There are continuous hydraulic connections among multiple furrows by network junctions, thus the surface water flows of all furrows in a furrow network are simultaneously simulated. Then, a fully hydrodynamic coupled model with unconditional stability is constructed for furrow networks. The dam-break problem with an analytical solution is first used to test the proposed model, and a good performance with different time steps is obtained. Meanwhile, two field-scale experiments for a furrow network are selected to validate the proposed model. The validated results show that the proposed model can well simulate water flows of a furrow network and presents good mass conservation ability. Meanwhile, the computational efficiency of the proposed model can satisfy the requirement of irrigation application.

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Acknowledgments

This research is supported by financial supports from the National Science and Technology Support Program of China under Grant No. 2015BAD24B02.

References

Abbasi, F., Feyen, J., Roth, R. L., Sheedy, M., and van Genuchten, M. T. (2003). “Water flow and solute transport in furrow-irrigated fields.” Irrig. Sci., 22(2), 57–65.
Banti, M., Zissis, Th., and Anastasiadou-Partheniou, E. (2011). “Furrow irrigation advance simulation using a surface-subsurface interaction model.” J. Irrig. Drain. Eng., 304–314.
Bautista, E., Clemmens, A. J., Strelkoff, T. S., and Niblack, M. (2009). “Analysis of surface irrigation systems with WinSRFR—Example application.” Agric. Water Manage., 96(7), 1162–1169.
Bautista, E., Zerihun, D., Clemmens, A. J., and Strelkoff, T. S. (2010). “External iterative coupling strategy for surface-subsurface flow calculations in surface irrigation.” J. Irrig. Drain. Eng., 692–703.
Belov, A., Martinelli, L., and Jameson, A. (1995). “A new implicit algorithm with multigrid for unsteady incompressible flow calculations.” AIAA 33rd Aerospace Sciences Meeting, American Institute of Aeronautics and Astronautics, Reston, VA.
Bradford, S. F., and Katopodes, N. D. (2001). “Finite volume model for nonlevel basin irrigation.” J. Irrig. Drain. Eng., 216–223.
Burguete, J., Lacasta, A., and García-Navarro, P. (2014). “SURCOS: A software tool to simulate irrigation and fertigation in isolated furrows and furrow networks.” Comput. Electron. Agric., 103(2), 91–103.
Burguete, J., Zapata, N., García-Navarro, P., Maïkaka, M., Playán, E., and Murillo, J. (2009). “Fertigation in furrows and level furrow systems. I: Model description and numerical tests.” J. Irrig. Drain. Eng., 401–412.
Celia, M. A., Bouloutas, E. T., and Zarba, R. L. (1990). “A general mass-conservative numerical solution for the unsaturated flow equation.” Water Resour. Res., 26(7), 1483–1496.
Furman, A. (2008). “Modeling coupled surface-subsurface flow processes: A review.” Vadose Zone J., 7(2), 741–756.
García-Navarro, P., Sanchez, A., Clavero, N., and Playán, E. (2004). “Simulation model for level furrows. II: Description, validation, and application.” J. Irrig. Drain. Eng., 113–121.
Gunduz, O., and Aral, M. M. (2005). “River networks and groundwater flow: A simultaneous solution of a coupled system.” J. Hydrol., 301(1), 216–234.
Hildebrand, F. B. (1974). Introduction to numerical analysis, McGraw-Hill, New York.
Jameson, A., and Yoon, S. (1987). “Lower-upper implicit schemes with multiple grids for the Euler equations.” AIAA J., 25(7), 929–935.
LeVeque, R. J. (2002). Finite volume methods for hyperbolic problems, Cambridge University Press, Cambridge, U.K.
Liang, Q., and Marche, F. (2009). “Numerical resolution of well-balanced shallow water equations with complex source terms.” Adv. Water Resour., 32(6), 873–884.
Liou, M. S. (1996). “A sequel to AUSM: AUSM+.” J. Comput. Phys., 129(2), 364–382.
Liou, M. S., and Steffen, C. J. (1993). “A new flux splitting scheme.” J. Comput. Phys., 107(1), 23–39.
Manzini, G., and Ferraris, S. (2004). “Mass-conservative finite volume methods on 2-D unstructured grids for the Richards’ equation.” Adv. Water Resour., 27(12), 1199–1215.
Morton, K. W., and Mayers, D. F. (2005). Numerical solution of partial differential equations, Cambridge University Press, Cambridge, U.K.
Playán, E., Rodríguez, J. A., and García-Navarro, P. (2004). “Simulation model for level furrows. I: Analysis of field experiments.” J. Irrig. Drain. Eng., 106–112.
Playán, E., Walker, W. R., and Merkley, G. P. (1994). “Two-dimensional simulation of basin irrigation. I: Theory.” J. Irrig. Drain. Eng., 837–856.
Pu, J. H., Cheng, N. S., Tan, S. K., and Shao, S. (2012). “Source term treatment of SWEs using surface gradient upwind method.” J. Hydraul. Res., 50(2), 145–153.
Sanders, B. F. (2001). “High-resolution and non-oscillatory solution of the St. Venant equations in non-rectangular and non-prismatic channels.” J. Hydraul. Res., 39(3), 321–330.
Sanders, B. F. (2008). “Integration of a shallow water model with a local time step.” J. Hydraul. Res., 46(4), 466–475.
Shao, S., and Lo, E. Y. M. (2003). “Incompressible SPH method for simulating Newtonian and non-Newtonian flows with a free surface.” Adv. Water Resour., 26(7), 787–800.
Strelkoff, T. S., Clemmens, A. J., and Bautista, E. (2009). “Field properties in surface irrigation management and design.” J. Irrig. Drain. Eng., 525–536.
Tabuada, M. A., Rego, Z. J. C., Vachaud, G., and Pereira, L. S. (1995). “Modelling of furrow irrigation. Advance with two-dimensional infiltration.” Agric. Water Manage., 28(3), 201–221.
Walker, W. R., and Skogerboe, G. V. (1987). Surface irrigation: Theory and practice, Prentice-Hall, Upper Saddle River, NJ.
Wöhling, T., and Schmitz, G. H. (2007). “Physically based coupled model for simulating 1D surface–2D subsurface flow and plant water uptake in irrigation furrows. I: Model development.” J. Irrig. Drain. Eng., 538–547.
Xing, Y., Zhang, X., and Shu, C.-W. (2010). “Positivity-preserving high order well-balanced discontinuous Galerkin methods for the shallow water equations.” Adv. Water Resour., 33(12), 1476–1493.
Yu, H., Huang, G., and Wu, C. (2015). “Efficient finite-volume model for shallow-water flows using an implicit dual time-stepping method.” J. Hydraul. Eng., 04015004.
Zapata, N., and Playán, E. (2000). “Elevation and infiltration in a level basin. I: Characterizing variability.” Irrig. Sci., 19(4), 155–164.
Zerihun, D., Furman, A., Warrick, A. W., and Sanchez, C. A. (2005). “Coupled surface-subsurface solute transport model for irrigation borders and basins. I: Model development.” J. Irrig. Drain. Eng., 396–406.
Zhou, J. G., Causon, D. M., Mingham, C. G., and Ingram, D. M. (2001). “The surface gradient method for the treatment of source terms in the shallow-water equations.” J. Comput. Phy., 168(1), 1–25.

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Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 142Issue 6June 2016

History

Received: Jun 12, 2015
Accepted: Dec 7, 2015
Published online: Mar 3, 2016
Published in print: Jun 1, 2016
Discussion open until: Aug 3, 2016

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Authors

Affiliations

Shaohui Zhang [email protected]
Senior Engineer, State Key Laboratory of Simulation and Regulation of Water Cycle in River Basin, China Institute of Water Resources and Hydropower Research, A-1 Fuxing Rd., Beijing 100038, China. E-mail: [email protected]
Professor, State Key Laboratory of Simulation and Regulation of Water Cycle in River Basin, China Institute of Water Resources and Hydropower Research, A-1 Fuxing Rd., Beijing 100038, China (corresponding author). E-mail: [email protected]
Meijian Bai [email protected]
Professor, National Center of Efficient Irrigation Engineering and Technology Research, China Institute of Water Resources and Hydropower Research, 20 West Chegongzhuang Rd., Beijing 100048, China. E-mail: [email protected]
Professor, State Key Laboratory of Simulation and Regulation of Water Cycle in River Basin, China Institute of Water Resources and Hydropower Research, A-1 Fuxing Rd., Beijing 100038, China. E-mail: [email protected]
Qunchang Liu [email protected]
Professor, National Center of Efficient Irrigation Engineering and Technology Research, China Institute of Water Resources and Hydropower Research, 20 West Chegongzhuang Rd., Beijing 100048, China. E-mail: [email protected]

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