Predicting deep water wave breaking with a non-hydrostatic shock-capturing model

A non-hydrostatic shock-capturing model is developed to address deep water wave evolution including wave breaking. The present model is based on the Euler equations, with a hybrid finite volume/finite difference (FV/FD) method and the high-resolution Godunov-type numerical scheme. Using these numerical schemes, wave breaking can be captured as a shock or a hydraulic jump without adopting additional wave breaking parameters or terms, such as breaking-onset criteria. The parallel method of the Message Passing Interface (MPI) is used to accelerate the simulation. This model was applied to simulate deep-water wave propagation including breaking as a consequence of dispersive focusing or due to the modulational instability. By comparison with existing experiments, the ability of the present model to predict breaking onset and breaking energy dissipation is evaluated. Additionally, a dynamic criterion is applied to provide additional information on wave breaking onset, and the wavelet transform is applied to predict the energy as a function of frequency and time.