Two-Dimensional Numerical Model of Basin Irrigation Based on a Hybrid Numerical Method

Abstract

A numerical model of basin irrigation flow is a useful tool in the design and evaluation of surface irrigation systems. A two-dimensional (2D) complete hydrodynamic numerical model of basin irrigation was established by using the time–space hybrid numerical method. Differences in stability, convergence, precision, and efficiency of the 2D model were analyzed and compared between the hybrid numerical method proposed in this paper and the Roe finite-volume method. At the same time, the computational performance and simulation effects were validated on the basis of the results of typical basin irrigation tests. The results show that the hybrid numerical method provides better numerical stability and convergence with lower water quantity balance and average relative errors than does the Roe finite-volume method. The computational efficiency is about three times higher under the same measurement circumstances. The proposed model of basin irrigation can increase computational stability and convergence, improve computational precision and efficiency, and provide a good numerical simulation tool for the design and evaluation of basin irrigation systems.