A wave-breaking model for the depth-semi-averaged equations

We propose an efficient model for the description of three-dimensional (3-D) evolution breaking water waves in nearshore region. A fundamental property is its intrinsic ability to account 3-D dynamics vorticity and energy dissipation induced by wave breaking. In particular, achieved through use mollified operators, approach similar spirit that adopted smoothed particle hydrodynamics. Further, since based on depth-semi-averaged equations with a core structure nonlinear shallow-water equations, it takes advantage well-known numerical methods hyperbolic while permitting computation local flows. Finally, relies limited number tunable parameters very simple criterion. All above aspects allow reliable representation main features at time spatial scales typical dynamics. benchmarks are used explore properties model, which tuned only once all cases. Wave height decay rates well described both sloshing (thin) shoaling (thick) spillers, good also provided field. final run impulsive over submerged breakwater illustrate