Mathematical Modeling and Numerical Simulation for the Design of Agricultural Irrigation Channels with Bend Failures
DOI:
https://doi.org/10.17268/sel.mat.2025.02.10Keywords:
Irrigation channels, Bend failures, Schwarz-Christoffel transformation, hydraulic efficiency, numerical simulation, conformal mapping, mesh generationAbstract
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.
References
Williams F. Infraestructura y paisaje en la Patagonia argentina. In: Núñez P, Núñez A, et al, editors. Araucanía-Norpatagonia II. Editorial Universidad Nacional de Río Negro; 2018. p. 199-223.
Mantilla Nunez I. Adaptabilidad de Mallados por Aproximación a la Mecánica de un Fluido. FC REVCIUNI. 2001;01(5):94-107.
Zannier JM. Reporte del Proyecto Especial Chavimochic, La Libertad; 2012.
Brown JW, Churchill RV. Complex variables and applications. vol. 9. McGraw-Hill; 1996.
Ji Y, Moller M, Yu Y, et al. Boundary parameter matching for isogeometric analysis using Schwarz–Christoffel mapping. Engineering with Computers. 2024;40:3929-47.
Lund AAR, et al. Characterization and control of irrigation canal seepage: review and perspectives. Agricultural Water Management. 2023. Review article; update bibliographic details when exact journal/volume is selected.
Markovic M, Jufer M, Perriard Y. A square magnetic circuit analysis using Schwarz–Christoffel mapping. Mathematics and Computers in Simulation. 2006;71(4):460-5.
Downloads
Published
How to Cite
Issue
Section
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
The authors who publish in this journal accept the following conditions:
1. The authors retain the copyright and assign to the journal the right of the first publication, with the work registered with the Creative Commons Attribution License,Atribución 4.0 Internacional (CC BY 4.0) which allows third parties to use what is published whenever they mention the authorship of the work And to the first publication in this magazine.
2. Authors may make other independent and additional contractual arrangements for non-exclusive distribution of the version of the article published in this journal (eg, include it in an institutional repository or publish it in a book) provided they clearly state that The paper was first published in this journal.
3. Authors are encouraged to publish their work on the Internet (for example, on institutional or personal pages) before and during the review and publication process, as it can lead to productive exchanges and to a greater and more rapid dissemination Of the published work.
