臺灣博碩士論文加值系統

本研究主要為利用三維邊界元素法(BEM)模式求解等水深平面水池中方向造波之問題。研究波浪遠離造波板之變化和單位有限寬度造波板對波浪之影響。在三維邊界元素法模式的建立上，Laplace方程式為控制方程式，再配合所使用的自由水面、底床、造波板和側向等邊界條件。側向邊界為符合波浪傳遞之方向，也避免波浪能量由邊界反射。造波板邊界也為單位有限寬度的方向造波板。在數值模式的驗證上，本研究模擬造波運動為連續函數的邊界條件來比較。比較後說明本數值模式可以模擬平面水池方向造波。本研究顯示出波浪的產生符合造波板單元的位相差，而且符合方向波浪遠離造波邊界的最終變化。造波板單元的寬度也影響了波形的產生。寬度較小的可順利發展波峰，另一方面，較大的寬度明顯地產生不連續波形。本研究所建立邊界元素法模式足以計算實際方向造波問題。

In this study, the problem of directional wave generation in a plane wave basin is solved by using a three-dimensional boundary element method, and evolution of generated waves moving away from the wavemaker, and effects of finite width of wavemaker units are on waves investigated. The three-dimensional boundary element model used is developed based on Laplace equation as the governing equation, and accompanying with free surface, bottom boundary, wavemaker, and lateral boundaries. The lateral boundaries aligned with direction of wave propagation are adopted to avoid wave reflection from the boundaries. The wavemaker boundary is also discretized to describe finite width of each unit of the directional wavemaker. On validation of the numerical simulation, an analytical solution of the problem is used for comparison in which the wavemaker motion is a continuous function. And the comparison indicates that the present numerical model can simulate very well the directional wave generation in the plane wave basin. The present study shows that waves are generated consistent with phase difference of the wavemaker units, and with the distance moving away from the wavemaker boundary the directional waves are eventually evolved. The width of the wavemaker unit also affects the generated wave form. The smaller the width the smoother the evolved wave crest, on the other hand, large width creates obvious discontinuous evolving wave forms. The three-dimensional boundary element method model used in this study can calculate very well the problem of directional wave generation.

中文摘要 I
英文摘要 II
誌謝 III
目錄 IV
圖目錄 VI
符號說明 IX
第一章 緒論 1
1-1 前言 1
1-2 文獻回顧 2
1-3 研究方法 5
1-4 本文組織 5
第二章 理論基礎 6
2-1 問題之描述 6
2-2 理論基礎 8
第三章 數值模式 12
3-1 邊界元素法 12
3-2 邊界積分式 12
3-3求解矩陣式 13
3-4 求解內部點 14
3-5 求解水位變化 14
第四章 結果與討論 15
4-1數值模式驗證 15
4-1-1 計算網格 19
4-2 方向造波之計算與討論 35
4-2-1 週期 35
4-2-2 週期 42
4-2-3 週期 47
4-3 不同週期比較結果 50
第五章 結論與建議 53
5-1 結論 53
5-2 建議 54
參考文獻 55
附錄A 方向造波之三維邊界元素法模式 58
附錄B 三維邊界元素法係數矩陣 和 計算式 65
附錄C 座標轉換與係數矩陣之計算 72

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