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研究生:黃盈純
研究生(外文):Ying-Tsun Hwang
論文名稱:波浪通過複合式人工沙漣布拉格效應之研究
論文名稱(外文):On the Bragg Reflection of Waves Propagating over Multiply Composite Artificial Bars
指導教授:許泰文許泰文引用關係
指導教授(外文):Tai-Wen Hsu
學位類別:碩士
校院名稱:國立成功大學
系所名稱:水利及海洋工程學系碩博士班
學門:工程學門
學類:河海工程學類
論文種類:學術論文
論文出版年:2002
畢業學年度:90
語文別:中文
論文頁數:51
中文關鍵詞:演進型態緩坡方程式布拉格反射複合式人工沙漣Miles理論
外文關鍵詞:Multiply composite artificial barsBragg reflectionMiles theoryEvolution Equation for the Mild Slope Equation
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本文根據Hsu等人 (2001) 所發展拋物線型態演進型態緩坡方程式 (EEMSE) 以及Miles (1981) 理論,探討波浪通過複合式系列潛堤的布拉格反射效應,並進行水工模型試驗校核數值模式之計算結果。比較結果顯示,在不同波浪條件和複合式人工沙漣之組合之情況下,理論解析、數值模擬和試驗結果呈現合理之一致性。數值模擬結果顯示,利用複合式人工沙漣可有效增加主頻波、次頻波、分諧波和高諧波布拉格共振區帶寬效果,改善單一頻率之波浪產生一個布拉格共振之限制,增加布拉格共振在各種不同頻率之適用範圍。本文同時探討各參數對波浪通過複合式系列潛堤布拉格反射之影響,這些參數包括潛堤間距差、潛堤個數、相對堤高、潛堤寬度間距比、波浪入射角度以及波浪條件,計算結果顯示,利用不等間距系列潛堤可以提高布拉格反射效果,亦可增加布拉格共振的帶寬,隨潛堤個數、堤高及間距的增加,反射率和帶寬亦隨之增加。
In this paper, the Bragg reflection from multiply composite artificial bars is investigated through Miles’ theory (1981) and a numerical model developed by Hsu et al. (2001). The numerical model is based on an Evolution Equation for the Mild-Slope Equation (EEMSE) in which the higher-order terms neglected in the mild-slope equation are retained to enhance the overall prediction capability for steep ripple beds. Numerical results are fairly compared with theory as well as experiments. It is shown that the performance of the Bragg resonance can be greatly improved by a proper design of multiply composite artificial bars. Affecting factors on Bragg reflection, such as the difference of spacing, the number of bars, the relative bar height, the incident wave angles and the bar spacing were discussed.
中文摘要 Ⅰ
英文摘要 Ⅱ
目錄 Ⅲ
表目錄 Ⅴ
圖目錄 Ⅵ
照片目錄 Ⅷ
符號說明 Ⅸ
第一章 緒論 1
1-1 研究目的 1
1-2 文獻回顧 2
1-3 本文組織 4
第二章 理論分析 5
2-1 Miles理論 5
2-2 複合式潛堤之反射率 6
2-3 複合式潛堤共振之機制 10
第三章 波浪數值模式 12
3-1 控制方程式 12
3-2 邊界條件 13
3-3 數值方法 14
第四章 模式驗證 17
4-1 複合式正弦沙漣布拉格共振 17
4-2 複合式潛堤試驗佈置與方法 22
4-3 複合式人工潛堤布拉格共振 27
第五章 結果與討論 31
5-1 潛堤間距差比的影響 32
5-2 潛堤個數的影響 34
5-3 潛堤高度的影響 36
5-4 相對堤距的影響 38
5-5 波浪入射角度的影響 39
第六章 結論與建議 41
6-1 結論 41
6-2 建議 42
參考文獻 43
附錄 複合式潛堤之反射率推導 46
附錄 反射率計算方法 48
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