A two-dimensional depth-integrated non-hydrostatic numerical model for nearshore wave propagation

- A 2D depth-averaged non-hydrostatic model is developed based on a FVM SWE solver.
- The model is verified to be accurate, robust and well-balanced.
- The model describes wave dispersivity and wetting and drying processes well.
- The wave breaking and reverse wave breaking processes are modeled well.
- The splitting error of the model is verified to be negligible.

In this study, we develop a shallow-water depth-integrated non-hydrostatic numerical model (SNH model) using a hybrid finite-volume and finite-difference method. Numerical discretization is performed using the non-incremental pressure-correction method on a collocated grid. We demonstrate that an extension can easily be made from an existing finite-volume method and collocated-grid based hydrostatic shallow-water equations (SWE) model to a non-hydrostatic model. A series of benchmark tests are used to validate the proposed numerical model. Our results demonstrate that the proposed model is robust and well-balanced, and it captures the wet-dry fronts accurately. A comparison between the SNH and SWE models indicates the importance of considering the wave dispersion effect in simulations when the wave amplitude to water depth ratio is large.