This contribution concerns a specific simulation method for coastal wave engineering applications. As is common to reduce computational costs the flow is assumed to be irrotational so that a Boussinesq-type of model in horizontal variables only can be used. Here we advocate the use of such a model that respects the Hamiltonian structure of the wave equations. To avoid approximations of the dispersion relation by an algebraic relation that is needed for finite element/difference methods, we propose a spatial-spectral implementation which can model dispersion exactly for all wave lengths. Results with a relatively simple spatial-spectral implementation of the advanced theoretical model will be compared to experiments for harmonic waves and irregular waves over a submerged trapezoidal bar and bichromatic wave breaking above a flat bottom; calculation times are typically less than 25% of the physical time in environmental geometries.
|Title of host publication||Proceedings of International Conference on Computational and Experimental Marine Hydrodynamics (MARHY 2014)|
|Place of Publication||India|
|Publisher||Indian Institute of Technology Madras|
|Number of pages||6|
|Publication status||Published - 4 Dec 2014|
|Name||Advances in Computational and Experimental Marine Hydrodynamics|
|Publisher||Department of Ocean Engineering, Indian Institute of Technology Madras and The Royal Institution of Naval Architects|
- Wave Simulations
- Analytic Boussinesq
Kurnia, R., & van Groesen, E. W. C. (2014). Spatial-Spectral Hamiltonian Boussinesq Wave Simulations. In P. Krishnankutty (Ed.), Proceedings of International Conference on Computational and Experimental Marine Hydrodynamics (MARHY 2014) (pp. 19-24). (Advances in Computational and Experimental Marine Hydrodynamics; Vol. 2). India: Indian Institute of Technology Madras.