<![CDATA[Flooding is a common environmental problem in river basins due to increased rainfall and runoff from surrounding areas. One of the main causes of flooding is lateral flow entering the riverbed, increasing its discharge and depth. In this study, we analyzed the influence of lateral flow on changes in water depth and determined the river's capacity before flooding occurred in the Mount Nago River basin. Numerical analysis of one-dimensional flow using Shallow Water Equations (SWE) was performed using the Lax–Friedrichs explicit finite difference method. Numerical simulations were performed by varying the lateral flow discharge in certain segments of the river basin and applying flood hydrograph boundary conditions upstream. The simulation results showed that increasing lateral flow caused a significant increase in water depth. The river was still able to accommodate lateral flow up to a certain value, but when the lateral flow exceeded the cross-sectional capacity, the water level exceeded the riverbank height and caused flooding. The results of this study indicate that the SWE model is quite effective in predicting flood potential and can be used as an initial basis for flood mitigation planning and river environmental management.]]>
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