Non-hydrostatic Galerkin Model with Linear/Quadratic Weighted Average Pressure Profile

In this work, a new two-dimensional depth-integrated non-hydrostatic model for the simulation of wave propagation using a weighted average linear/quadratic non-hydrostatic pressure profile is developed. The model is constructed by modifying an existing non-hydrostatic discontinuous/continuous Galerkin finite element model with a linear vertical non-hydrostatic pressure profile. The use of the new model in the numerical solution of a linear standing wave proved its applicability. The application of the linear/quadratic weighted average non-hydrostatic pressure profile improved the performance of previous models that used linear pressure profiles.