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研究生:張正侑
研究生(外文):Cheng-YuChang
論文名稱:孤立波通過孔隙薄板之數值研究
論文名稱(外文):Numerical simulation of solitary wave over the porous thin barriers
指導教授:蕭士俊蕭士俊引用關係
指導教授(外文):Shih-Chun Hsiao
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專班
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:2010
畢業學年度:98
語文別:中文
論文頁數:97
中文關鍵詞:孤立波大渦模擬
外文關鍵詞:solitary wavelarge eddy simulation
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海嘯會對沿海國家造成長期的社會經濟等各方面的影響,2004 年南亞
大海嘯過後,許多沿海國家均投入許多心力致力於降低海嘯對人民的傷害,
而在海岸保護方面,透水結構物在成本效益以及環境保護上都有其優勢存
在。為了瞭解海嘯通過透水性結構物的運動過程,本研究以孤立波代表海
嘯波之波前(wave front),利用TRUCHAS 數值模式,模擬孤立波通過透水
性結構物的運動機制。本研究控制的變因主要有兩個:一為波高水深比、
一為透水性結構物之孔隙率,結果顯示,孔隙率和波高水深比的改變對孤
立波通過透水性結構物的演變過程有舉足輕重的影響,當孔隙率等於零,
自由液面會產生回捲的現象,當孔隙率等於百分之四十,則自由液面不會
產生回捲的現象,而孔隙率也會對孤立波通過結構物產生的渦流尺寸有所
影響,而波高水深比越大的時候,通過結構物的運動變化則是越強烈。
Tsunami will cause long-term socio-economic impact to the coastal countries. After the 2004 Indian Ocean tsunami, many coastal states invested lots of resources to improve their coast protection, reduce the damage from tsunami. Permeable structures are low cost and very effective in reducing the
transmitted energy of waves, and less harmful to the environment. In present study, the wave front of tsunami is viewed as the solitary wave that shall be used to investigate the interaction between the solitary wave and permeable structures by using TRUCHAS numerical model. Two main parameters in this study are discussed:one is wave nonlinearity defined as the ratio of the wave
height and water depth, the other is the porosity of the permeable structures. Our numerical results show that these two parameters have significant effects
on the evolution. Particularly, the free surface will produce a backward breaking for the case of zero porosity, while such a phenomenon is not seen for porosity being equal to 40 %. Furthermore, the size of the vortex is also
affected by the porosity of thin barrier. It is also found that more violent interaction between the solitary wave and the structure is seen as wave nonlinearity becomes larger.
摘要 I
Abstract II
致謝 III
目錄 IV
表目錄 VII
圖目錄 VIII
符號說明 X
第一章 緒論 1
1-1 前言 1
1-2 研究動機與目的 2
1-3 文獻回顧 3
1-3.1孤立波理論回顧 3
1-3.2 規則波通過分隔薄板之實驗與理論回顧 4
1-3.3 孤立波通過直立分隔薄板之實驗與理論回顧 7
1-4 本文架構 9
第二章 數值方法 11
2-1 模式簡介 11
2-2 控制方程式 11
2-3 大渦模擬 12
2-4 有限體積法 16
2-5 流體體積法 19
2-6 自由液面之建立 21
2-7 投影法 22
2-8 邊界條件 23
2-8.1 不可滑動邊界 23
2-8.2 自由滑動邊界條件 24
2-8.3 壓力Dirichlet邊界條件 25
2-8.4 波浪入射邊界條件 25
2-8.5 輻射邊界條件 25
2-9 數值海綿層設置 26
2-10 程式計算流程 27
2-11 數值穩定度 28
第三章 數值模式之驗證 29
3-1 孤立波於半無限長潛堤上之數值模擬 29
3-2 孤立波通過潛沒式直立薄板之數值模擬 33
第四章 結果與討論 38
4-1 數值模擬設定 38
4-1.1 數值水槽 38
4-1.2 網格建構 39
4-1.3 邊界條件 39
4-1.4 初始條件 40
4-1.5 影響流場之因子 41
4-2 結果與討論 42
4-2.1 波高水深比H/h=0.5 42
4-2.2 波高水深比 H/h = 0.25 58
4-2.3 波高水深比 H/h = 0.1 66
4-2.4 不同波高之孤立波通過結構物的比較 67
4-3 三維數值模擬 76
4-3.1 三維數值水槽設置與初始條件 76
4-3.2 網格建構 77
4-3.3 邊界條件 77
4-3.3 結果與討論 78
第五章 結論與建議 89
5-1結論 89
5-1.1 透水與否對孤立波通過結構物的影響 89
5-1.2 孔隙率大小對孤立波通過結構物的影響 89
5-1.3 波高大小對孤立波通過結構物的影響 90
5-1.4 孤立波通過三維結構物的運動變化 90
5-2未來發展與建議 91
參考文獻 92

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