hp discontinuous Galerkin methods for parametric, wind-driven water wave models

We recast the parametric, wind-driven water wave modeling paradigm into a weak form that is advantageous to discontinuous Galerkin (DG) methods and demonstrate some advantages of polynomial refinement versus standard mesh refinement. Hindcast studies performed over Lake Erie indicate that this simplified parametric approach, when paired with advanced numerics, produces similar error measures to the well-established spectral wave model known as SWAN while executing significantly faster in terms of CPU time.