A set of efficient numerical tools for floodplain modelling

In the last years, Europe was subject to catastrophic inundations. At the same time, computer's capacity are increasing such as bidimensional simulations can be applied to real cases. Two compementary theoretical and numerical models are presented and discussed in the present paper: the diffusive approximation and the complete shallow-water approach. An original refinement of meshes is also presented to increase the convergence speed to a steady solution. Numerous comparisons between models and methods of resolution are described. Finally, an example of determination of the flood extension on a natural river is illustrated.