Irregular wave propagation with a 2DH Boussinesq-type model and an unstructured finite volume scheme

The application and validation, with respect to the transformation, breaking and run-up of irregular waves, of an unstructured high-resolutionfinite volume (FV) numerical solver for the 2D extended Boussinesq-type (BT) equations of Nwogu (1993)is presented. The numerical model is based on the combined FV approximate solution of the BT model and that of thenonlinear shallow water equations (NSWE) when wave breaking emerges. The FV numerical scheme satisfiesthe desired properties of well-balancing, for flows over complex bathymetries and in presence of wet/dry fronts, and shock-capturing for an intrinsicrepresentation of wave breaking, that is handled as a shock by the NSWE.Several simulations and comparisons with experimental data show that the model is able to simulate wave height variations, meanwater level setup, wave run-up, swash zone oscillations and the generation of near-shore currents with satisfactory accuracy