### Abstract

The linear shallow-water equations have been used frequently to simulate transoceanic propagation of tsunamis instead of the linear Boussinesq equations. In previous studies, the physical dispersion is compensated by using the numerical dispersion generated from the leap-frog finite difference scheme. However, the linear Boussinesq equations can be directly solved because computer technique has been improved dramatically. In this study, a new finite difference scheme is proposed to discretize the linear Boussinesq equations. The newly developed model is applied to propagation of a Gaussian hump over a constant water depth. The model is then verified by comparing predicted results with analytic solutions. Predicted results agree well with analytical solutions. The model can be directly applied to simulation of transoceanic propagation of tsunamis.

Original language | English |
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Title of host publication | Proceedings of the 21st (2011) International Offshore and Polar Engineering Conference, ISOPE-2011 |

Pages | 259-263 |

Number of pages | 5 |

State | Published - 2011 Sep 19 |

Event | 21st International Offshore and Polar Engineering Conference, ISOPE-2011 - Maui, HI, United States Duration: 2011 Jun 19 → 2011 Jun 24 |

### Publication series

Name | Proceedings of the International Offshore and Polar Engineering Conference |
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ISSN (Print) | 1098-6189 |

ISSN (Electronic) | 1555-1792 |

### Other

Other | 21st International Offshore and Polar Engineering Conference, ISOPE-2011 |
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Country | United States |

City | Maui, HI |

Period | 11/06/19 → 11/06/24 |

### Fingerprint

### Keywords

- Dispersion effects
- Finite difference method
- Linear Boussinesq equations
- Tsunami

### Cite this

*Proceedings of the 21st (2011) International Offshore and Polar Engineering Conference, ISOPE-2011*(pp. 259-263). (Proceedings of the International Offshore and Polar Engineering Conference).