This study presents an effective surface reconstruction approach for solving one- and two-dimensional Saint-Venant-Exner models. These models, which couple Saint-Venant equations (hydrodynamics) with the Exner equation (morphodynamics), face significant challenges due to the presence of wet-dry interfaces. We employ the surface reconstruction scheme proposed in [19] to solve the Saint-Venant-Exner system numerically. This work specifically addresses three major difficulties associated with movable bottom topography and wet-dry fronts: (a) precisely preserving stationary solutions; (b) ensuring...
