SPH modeling of shallow-water coastal flows

In the present paper, a Smoothed Particle Hydrodynamics (SPH) modeling of the shallow water equations is presented. The objective of this modeling is to perform flooding simulations involving complex bathymetries of sea bottom and dry land. The formulation is first detailed. Its implementation is then described, including specific procedures making possible to follow the expansion of the fluid domain during flooding simulations. An anisotropic kernel with variable smoothing length is especially used, as well as a periodic redistribution of the particles. A number of validation tests are performed. The model results are first checked on the case of a dam break on a flat dry bottom in one and two dimensions. Then more complex two-dimensional cases are simulated and compared to other models and experiments, e.g. a dam break flooding a slope of complex shape, and a solitary wave running up an island.