Source term treatment of SWEs using the surface gradient upwind method

摘要

The Authors' works, who have designed well-balanced ID schemes for the Saint-Venant equations on irregular geometries, are of interest to develop efficient numerical methods. In recent years, most efforts have focused on improving the performance of 2D models, so that 1D schemes were forgotten to a certain degree, as evidenced by the large number of references of this discussion dealing with 2D models. However, 1D schemes, either by themselves or in combination with 2D schemes, still have advantages relative to lower computational cost and reduced information need.