Numerical modeling of the flood routing and zoning by Saint-Venant in the river Bostanak

The equations governing transient open-channel flow are continuity and momentum equations that are known as Saint-Venant equation. Based on the simplifications of this equation, numerical models of flood routing are categorized. Flood routing models include: dynamic wave models, kinematic models, hydrological Knox model and Maskingham model. In this research, basics of Saint-Venant equation and numerical dynamic wave model, kinematic, Knox and Maskingham models will be explained. Also their results are compared. Also their results are compared. For this purpose, an interval of Bastanak River between Badamak and Khanimen Hydrology stations is studied and a new mathematical relationship for prediction of maximum flood flow rate, river flood plain and maximum width of flood flow is presented. MIKE11 dynamic wave model was solved by partial differential methods and showed a better result with respect to other models. Routing and mathematical zoning of flood using hydrological Maskingham method showed minimum error compared to numerical MIKE11 method and observed flood when min square method used to calculate error.