A 3D numerical scheme for non-hydrostatic flows

In this paper three-dimensional simulation of hydrodynamic phenomena (wave refraction, diffraction, shoaling and breaking) are performed by a finite-volume non-hydrostatic and shock-capturing three-dimensional model. The Navier-Stokes equations are solved on a time dependent coordinate system. The solution procedure of the equations of motion is based on a high-order WENO reconstruction procedure and a third order accurate Runge-Kutta (SSPRK) fractional-step method and adopts a pressure corrector formulation in order to obtain a divergence-free velocity field at each stage. The proposed model is validated against several benchmark test cases.