Using Higher-Order Boussinesq Equations to Simulate Nonlinear Wave Transformation (II)

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簡歷

基本資料

Project title

Code/計畫編號

NSC93-2611-E006-007

Translated Name/計畫中文名

以高階Boussinesq方程式模擬非線性波浪之變形(II)

Project Coordinator/計畫主持人

Tai-Wen Hsu

Funding Organization/主管機關

National Science and Technology Center for Disaster Reduction

Co-Investigator(s)/共同執行人

林鼎傑

Department/Unit

Department of Hydraulic and Ocean Engineering,NCKU

Website

https://www.grb.gov.tw/search/planDetail?id=1032002

Year

2004

Start date/計畫起

01-08-2004

Expected Completion/計畫迄

31-07-2005

Bugetid/研究經費

564千元

ResearchField/研究領域

土木水利工程

本文利用 Lynett 和 Liu (2004) 所發展之多層 Boussinesq 模式 (multi-layer Boussinesq model) 對於狹長形狀港池之振盪現象進行研究。首先利用一系列的數值模擬來驗證模式之適用性，其中包含長距離傳遞之孤立波、Berkhoff (1982) 典型波浪變形試驗及 Beji 和 Battjes (1994) 非線性波浪通過梯形潛堤之試驗，結果指出模式在模擬具有開放邊界之問題時有極優越之模擬性。港池振盪方面，最初選定 Ippen 和 Goda (1963) 及 Rogers 和 Mei (1978) 線性及非線性振盪試驗進行模擬，但兩者均由於港池入口轉角處的奇異點導致數值短波出現，使得模式無法收斂。因此本文採取不同於試驗之港池幾何條件進行模擬，並藉此與試驗值之趨勢或相關學者提出之結果作一比較與分析。本文最後根據處理之經驗提出高階 Boussinesq 模式於港池振盪模擬及應用上之些許經驗與建議。In this paper, the multi-layer model developed by Lynett and Liu (2004) is applied to investigate the phenonemon of the harbor resonance with the shape of the harbor being long and narrow. To validate this model, a series of numerical tests are carried out including the solitary wave propagation a long distance, the classical wave deformation experiment conducted by Berkhoff (1982) and the experiment for nonlinear wave transfomation over submerged trapezoidal bar couducted by Beji & Battjes (1994). Our results indicate that this model could simulate the problems with open boundary very well. For the harbor resonance, we initially chose the linear and nonlinear resonance experiments couducted by Ippen & Goda (1963) and Rogers & Mei (1978), respectively. However, numerical short waves are found due to the corner points at the harbor entrance, which leads to the code overflow. Therefore, modified harbor geometry is used in this study and then compares the results with the tendency of the experimental data or some previous results presented by other researchers. Finally, some suggestions in the simulation of the harbor resonance using higher-order Boussinesq model are given.

Keyword(s)

Boussinesq 方程式
港池振盪
非線性
頻散性
Boussinesq equation
harbor resonance
nonlinearity
dispersion property

DSpace CRIS

Using Higher-Order Boussinesq Equations to Simulate Nonlinear Wave Transformation (II)

基本資料

Description