Computation of nonlinear water waves with a high-order Boussinesq model

Computational highlights from a recently developed high-order Boussinesq model are shown. The model is capable of treating fully nonlinear waves (up to the breaking point) out to dimensionless depths of (wavenumber times depth) kh \approx 25. Cases considered include the study of short-crested waves in shallow/deep water, resulting in hexagonal/rectangular surface patterns; crescent waves, resulting from unstable perturbations of plane progressive waves; and highly-nonlinear wave-structure interactions.

The emphasis is on physically demanding problems, and in eachcase qualitative and (when possible) quantitative accuracy is demonstrated, reflecting the current state-of-the-art in high-order Boussinesq modeling.