Two-Dimensional Coupled Model of Surface Water Flow and Solute Transport for Basin Fertigation
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VIEW THE REPLYPublication: Journal of Irrigation and Drainage Engineering
Volume 139, Issue 12
Abstract
A two-dimensional coupled model is proposed for the diffusion and channeling of both surface water and solute in all possible directions in basin fertigation. In the spatial discretization of the governing equation based on the unstructured triangle grid, the physical variables at grid interfaces are reconstructed by means of the grid center values. Then, the scalar-dissipation finite-volume method is used for the spatial discretization of the advection flux gradient vector. Meanwhile, the zero-dissipation finite-volume method is used to spatially discretize the water level gradient vector, diffusion vector, roughness vector, and infiltration vector. For the temporal scheme, the splitting method is implemented for the spatially discretized governing equation. The two-dimensional coupled model for surface water flow and solute transport in basin fertigation based on the scalar finite-volume method is proposed. The proposed model was validated based on observed data of three field experiments. Results show that the average relative errors between the simulated and observed data for the surface water advance and recession phases are from 3.8 to 4.7% and 10.4 to 12.7%, respectively. The water quantity conservation error is from 0.2 to 0.6%. The average relative error for the solute transport process between the simulated and observed data is less than 15%, and the solute quantity-conservation error is from 0.072 to 0.085%. At the same time, the convergence rate of simulation results is close to two-order. Therefore, the proposed model presents well-simulated performance.
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Acknowledgments
This research was supported by the Projects of the National High-Tech R&D Program under Grant No. 2011AA100505, and by the National Natural Science Foundation of China under Grant Nos. 51209227, 51279225. We thank Li Fuxiang, Gao Zhanzhong, Dong Mengjun, and Liu Shanshan for their contributions to the field experiments. The authors are very grateful to the editors and reviewers for their comments and remarks, which have resulted in significant improvements to this manuscript.
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Published In
Journal of Irrigation and Drainage Engineering
Volume 139 • Issue 12 • December 2013
Pages: 972 - 985
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Jan 25, 2013
Accepted: Jun 7, 2013
Published online: Jun 11, 2013
Discussion open until: Nov 11, 2013
Published in print: Dec 1, 2013
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