Numerical implementation of optimal water resource management problems in open channels using Python

2D flow modeling plays a crucial role in understanding and predicting hydrological processes such as floods and droughts. A mathematical model is formulated based on initial and boundary conditions using 2D Saint-Venant differential equations to simulate flood movements. The model is discretized using the explicit finite difference method and implemented using Python programming. For the experiment, a rectangular-shaped flow channel was selected. The water surface elevation z(m), flow velocity components u(m/s) and v(m/s) were computed over specific time intervals and visualized.