Mathematical Modeling and Numerical Simulation for the Design of Agricultural Irrigation Channels with Bend Failures

• Autores: Rudas, Brillith, Mantilla, Irla, Campos, David
• Formato: artículo
• Fecha de Publicación: 2025
• Institución: Universidad Nacional de Trujillo
• Repositorio: Revistas - Universidad Nacional de Trujillo
• Lenguaje: español
• OAI Identifier: oai:ojs.revistas.unitru.edu.pe:article/7092
• Enlace del recurso: https://revistas.unitru.edu.pe/index.php/SSMM/article/view/7092
• Nivel de acceso: acceso abierto
• Materia: Canales de riego; falla de recodos; transformada de Schawarz - Christoffel; eficiencia hidráulica; simulación numérica; mapeo conforme; generación de mallas; Irrigation channels; Bend failures; Schwarz-Christoffel transformation; hydraulic efficiency; numerical simulation; conformal mapping; mesh generation

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 contrasted with the data found in Google Earth satellite imagery and numerical analysis, using devices such as drones to discuss the results and draw useful conclusions for the design of irrigation channels with bend failures.