### Abstract

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.

Original language | English |
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Title of host publication | Proceedings of International Conference on Computational and Experimental Marine Hydrodynamics (MARHY 2014) |

Editors | P. Krishnankutty |

Place of Publication | India |

Publisher | Indian Institute of Technology Madras |

Pages | 19-24 |

Number of pages | 6 |

ISBN (Print) | 978-93-80689-22-7 |

Publication status | Published - 4 Dec 2014 |

### Publication series

Name | Advances in Computational and Experimental Marine Hydrodynamics |
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Publisher | Department of Ocean Engineering, Indian Institute of Technology Madras and The Royal Institution of Naval Architects |

Volume | 2 |

### Keywords

- EWI-25871
- Wave Simulations
- METIS-310016
- Analytic Boussinesq
- IR-95266

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## Cite this

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.