### 摘要

This paper presents new numerical results based on two-dimensional depth-integrated model equations developed by Hu et al. (2008) for describing nonlinear water waves propagating in a permeable sub-aerial structure with an uneven impermeable topography. The water waves travelling into the porous media can be described by Darcy's formula (e.g. Parlange et al., 1984; Liu & Wen, 1997; Artiles & Kraenkel, 2007) with the assumption of negligible inertial force. However, as the inertial force becomes significant, more sophisticated models that include inertial force and turbulent effects are required (e.g. Hsiao et al., 2002, 2005; Cruz & Chen, 2007; Hu et al., 2008). To validate the applicability of the present approach, mathematic equations are termed as a new numerical model and also be well-validated by comparing the linear wave theory. The nonlinear property of the proposed equation is calibrated against the weakly nonlinear theory of Liu & Wen. Good agreement suggests that the present model equations can be applied to simulate nonlinear waves propagating into a porous structure. A set of simulations was performed to explore the fundamental behavior of inertial force. The effect of wave nonlinearity is also addressed.

原文 | English |
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主出版物標題 | The Proceedings of the 19th (2009) International OFFSHORE AND POLAR ENGINEERING CONFERENCE |

頁面 | 958-965 |

頁數 | 8 |

出版狀態 | Published - 2009 十二月 1 |

事件 | 19th (2009) International OFFSHORE AND POLAR ENGINEERING CONFERENCE - Osaka, Japan 持續時間: 2009 六月 21 → 2009 六月 26 |

### 出版系列

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

ISSN（電子） | 1555-1792 |

### Other

Other | 19th (2009) International OFFSHORE AND POLAR ENGINEERING CONFERENCE |
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國家 | Japan |

城市 | Osaka |

期間 | 09-06-21 → 09-06-26 |

### All Science Journal Classification (ASJC) codes

- Energy Engineering and Power Technology
- Ocean Engineering
- Mechanical Engineering

## 指紋 深入研究「Nonlinear water waves propagating in permeable structure」主題。共同形成了獨特的指紋。

## 引用此

*The Proceedings of the 19th (2009) International OFFSHORE AND POLAR ENGINEERING CONFERENCE*(頁 958-965). (Proceedings of the International Offshore and Polar Engineering Conference).