Efficient computation of surf zone waves using the nonlinear shallow water equations with non-hydrostatic pressure

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Depth‐integrated, non‐hydrostatic model for wave breaking and run‐up (2009, background): “Overall, the upwind flux approximation (13a and 13b) and the second-order scheme (15a and 15b) in the present model provide the same or slightly better results compared with Stelling and Zijlema [12] and Walters [15].”
Depth‐integrated, non‐hydrostatic model with grid nesting for tsunami generation, propagation, and run‐up (2010, unknown): “Zijlema and Stelling [22] and Yamazaki et al. [17], respectively, applied the momentum-conserved advection scheme in a two-layer and a depth-integrated non-hydrostatic model for breaking of dispersive waves with encouraging results.”
Shock-capturing non-hydrostatic model for fully dispersive surface wave processes (2012, methodology): “Therefore, most existing models use a staggered grid in which the pressure is defined at the centers of computational cells and the velocities are defined at cell faces (Bradford, 2005).”