Technical Papers
Jul 20, 2016

Fully Coupled Simulation for Surface Water Flow and Solute Transport in Basin Fertigation

Publication: Journal of Irrigation and Drainage Engineering
Volume 142, Issue 12

Abstract

Full implicit solutions are constructed for all terms of the Saint–Venant equations and advection–dispersion equation. Thereafter, a global coefficient matrix for forming algebraic equations is established to realize the simultaneous solution of both surface water flow and solute transport equations and a full-coupled model between the surface water flow and solute transport is constructed for basin fertigation. This model completely eliminates splitting errors, which exist in common solutions for both of the aforementioned equations. Moreover, the proposed model can take any time steps and is no longer constrained by stability conditions, such as the CFL (Courant, Friedrichs and Lewy) number and Peclet number. These advantages of the full-coupled model obviously improve the computational efficiency and accuracy, and its applicability in practical simulations. Three basin fertigation experiments are conducted to validate the performance of the proposed full-coupled model. The results show that the developed model achieves good fit between the simulated and observed results, and presents more efficiency than the existing model.

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Acknowledgments

This research is supported by the National Natural Science Foundation of China under Grant No. 51579250.

References

Abbasi, F., et al. (2003). “Overland water flow and solute transport: Model development and field-data analysis.” J. Irrig. Drain. Eng., 71–81.
Begnudelli, L., and Sanders, B. F. (2006). “Unstructured grid finite-volume algorithm for shallow-water flow and scalar transport with wetting and drying.” J. Hydraul. Eng., 132(4), 371–384.
Belov, A., Martinelli, L., and Jameson, A. (1995). “A new implicit algorithm with multigrid for unsteady incompressible flow calculations.” AIAA 33rd Aerospace Sciences Meeting, AIAA, Reston, VA.
Bradford, S. F., and Katopodes, N. D. (2001). “Finite volume model for non-level basin irrigation.” J. Irrig. Drain. Eng., 216–223.
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.
Ebrahimian, H., Keshavarz, M. R., and Playán, E. (2014). “Surface fertigation: A review, gaps and needs.” Spanish J. Agric. Res., 12(3), 820–837.
García-Navarro, P., Playán, E., and Zapata, N. (2000). “Solute transport modeling in overland flow applied to fertigation.” J. Irrig. Drain. Eng., 33–40.
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.
Morton, K. W., and Mayers, D. F. (2005). Numerical solution of partial differential equations, Cambridge University Press, Cambridge, U.K.
Murillo, J., Burguete, J., Brufau, P., and García-Navarro, P. (2005). “Coupling between shallow water and solute flow equations: Analysis and management of source terms in 2D.” Int. J. Numer. Meth. Fluids, 49(3), 267–299.
Perea, H., Strelkoff, T. S., Adamsen, F. J., Hunsaker, D. J., and Clemmens, A. J. (2010). “Nonuniform and unsteady solute transport in furrow irrigation. I: Model development.” J. Irrig. Drain. Eng., 365–375.
Playán, E., and Faci, J. M. (1997). “Border irrigation: Field experiment and a simple model.” Irrig. Sci., 17(4), 163–171.
Playán, E., Walker, W. R., and Merkley, G. P. (1994). “Two-dimensional simulation of basin irrigation. I: Theory.” J. Irrig. Drain. Eng., 837–856.
Popo, S. (2000). Turbulent flows, Cambridge University Press, Cambridge, U.K.
Rogers, B. D., Borthwick, A. G. L., and Taylor, P. H. (2003). “Mathematical balancing of flux gradient and source terms prior to using Roe’s approximate Riemann solver.” J. Comput. Phys., 192(2), 422–451.
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 Perea-Estrada, H. (2006). “Calculation of non-reactive chemical distribution in surface fertigation.” Agric. Water Manage., 86(1), 93–101.
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.
Zhang, S., Xu, D., Bai, M., Li, Y., and Liu, Q. (2016). “Fully hydrodynamic coupled simulation of surface flows in irrigation furrow networks.” J. Irrig. Drain. Eng., 04016014.
Zhang, S., Xu, D., Li, Y., and Meijian, B. (2012). “One-dimensional coupled model of surface water flow and solute transport for basin fertigation.” J. Irrig. Drain. Eng., 181–192.
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. Phys., 168(1), 1–25.

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Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 142Issue 12December 2016

History

Received: May 19, 2015
Accepted: Jun 10, 2016
Published online: Jul 20, 2016
Published in print: Dec 1, 2016
Discussion open until: Dec 20, 2016

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Authors

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Shaohui Zhang
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.
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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