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The pressure-Poisson Boussinesq models of Donahue et al. (2014) are extended to the surf zone and tested at O (μ2) and O (μ4). This approach resembles a classic Boussinesq-type model with the exception that the dispersive accuracy is obtained through consideration of a Boussinesq-scaled Green–Naghdi type approximation to the nonhydrostatic pressure profile and solved as a solution to the pressure-Poisson...
A surf zone model is developed and tested based on the O(μ4) Boussinesq–Green–Naghdi system of Zhang et al. (2013). Because the model is fundamentally rotational, it uses fewer ad hoc assumptions than are found in many Boussinesq breaking wave systems. Eddy viscosity is used to describe both breaking dissipation and bottom friction, with breaking viscosities derived from the turbulent kinetic energy...
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