Non-hydrostatic Galerkin Model with Weighted Average Pressure Profile

This work develops a new two-dimensional depth-integrated non-hydrostatic model for wave propagation simulation using a weighted average linear/quadratic non-hydrostatic pressure profile. The model is constructed by modifying an existing non-hydrostatic discontinuous/continuous Galerkin finite element model with a linear vertical non-hydrostatic pressure profile. A series of analytical solutions and laboratory experiments verify and validate the model. The results show that using a weighted average linear/quadratic non-hydrostatic pressure profile improved the performance of previous depth-integrated models with linear or quadratic non-hydrostatic pressure profiles.