POD-based ROM applied to unsteady free surface water flow

The numerical resolution of shallow water equations (SWE) is required in many environmental problems involving free surface flows. upwind augmented Roe’s method [2] widely used due to the robust and stable solutions it offers realistic scenarios if properly corrected deal with entropy fix wet–dry fronts. On other hand, reduced-order models (ROMs) are known achieve more efficiency terms computational cost without losing accuracy. In this work, we analyse properties performance a proper orthogonal decomposition (POD) based ROMs for type