Abstract

Shallow water equations (Saint-Venant equations) can be derived from depth-integrating the Navier-Stokes equations. They are widely used in hydraulic and hydrological analyses. This talk will first introduce the properties of these equations and their numerous variations, as well as the suitable computational methods. The talk will then focus on the application of these equations to the prediction of the rainfall-runoff processes over impervious urban catchments, focusing on the influence of urban configurations, e.g. road width, building coverage and orientation, on the normalised time of concentration, which is a hydrological parameter to indicate the response time of the catchment to a rain event. The talk will also present some experimental and numerical results on the runoff of dissolvable pollutants over urban grounds.