### Abstract

Original language | English |
---|---|

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 |

### Fingerprint

### Keywords

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

### Cite this

*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.

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*Proceedings of International Conference on Computational and Experimental Marine Hydrodynamics (MARHY 2014).*Advances in Computational and Experimental Marine Hydrodynamics, vol. 2, Indian Institute of Technology Madras, India, pp. 19-24.

**Spatial-Spectral Hamiltonian Boussinesq Wave Simulations.** / Kurnia, Ruddy; van Groesen, Embrecht W.C.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Spatial-Spectral Hamiltonian Boussinesq Wave Simulations

AU - Kurnia, Ruddy

AU - van Groesen, Embrecht W.C.

N1 - eemcs-eprint-25871

PY - 2014/12/4

Y1 - 2014/12/4

N2 - 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.

AB - 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.

KW - EWI-25871

KW - Wave Simulations

KW - METIS-310016

KW - Analytic Boussinesq

KW - IR-95266

M3 - Conference contribution

SN - 978-93-80689-22-7

T3 - Advances in Computational and Experimental Marine Hydrodynamics

SP - 19

EP - 24

BT - Proceedings of International Conference on Computational and Experimental Marine Hydrodynamics (MARHY 2014)

A2 - Krishnankutty, P.

PB - Indian Institute of Technology Madras

CY - India

ER -