Breaking modelling in a depth-averaged contexte and applications to sediment transport

María Kazakova

We first derive a new depth-averaged model for the description of breaking waves, where the velocity is no longer assumed to be uniform over depth, using the strategy proposed in Kazakova & Richard 2019. Furthermore, the dispersive effects are taken into account in a very efficient way throughout the relaxation-type source term using the weakly compressible hypothesis of Richard 2021. The main feature of the new model is that the breaking description is based on a new quantity describing the vorticity effects (averaged over the depth). We then explain how this quantity can contribute to the description of sediment transport.