Development and analysis of a numerical model for incompressible flow in open circular channels and its application

Abstract

Amidst the escalating challenges posed by nationwide flooding during the rainy season, exacerbated by the El Nino phenomenon, there is an urgent need for improved water management systems. Open circular ˜ channels play a crucial role in flood control, irrigation, and water supply networks. However, optimizing the flow efficiency in these channels remains a significant challenge, especially when considering the complex interplay between key parameters like depth, velocity, and pressure. This study aims to develop a sophisticated mathematical model that addresses these challenges, offering a tool for enhancing the operational efficiency of open circular channels. The proposed model based on the RANS equations for incompressible flow, integrated with the EARSM turbulence model and solved using the artificial compressibility method, offers a robust framework for simulating complex turbulent flows. The application of implicit finite volume discretization ensures that the model is stable and accurate, while the boundary conditions allow for realistic and detailed simulations of practical fluid flow scenarios.