This work analyzes water flows in open irrigation channels with bend failures. To improve this failure, a mathematical model based on elliptic equations is proposed, which is solved by applying the SchwarzChristoffel transformation in complex analysis. Given its complex geometry, and with the desire to improve the structural curve of the channel, a numerical method is employed for adaptive mesh generation, based on conformal mapping via the Schwarz-Christoffel transformation. This allows for the obtaining of orthogonal meshes adapted to the geometry of the bends. The fundamental part of this study lies in the detailed simulation of the flow in the channel bends and in the evaluation of the bend’s geometric configuration and the improvement technique for hydraulic efficiency of the channel, ultimately aiming to enhance its hydraulic performance. The results obtained will be contras...