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研究生: 李政賢
Lee, Cheng-Hsien
論文名稱: 波浪與潛沒平板之交互作用
Interaction of water waves and a submerged plate
指導教授: 黃清哲
Huang, Ching-Jer
學位類別: 碩士
Master
系所名稱: 工學院 - 水利及海洋工程學系
Department of Hydraulic & Ocean Engineering
論文出版年: 2006
畢業學年度: 94
語文別: 中文
論文頁數: 59
中文關鍵詞: 渦流反射率高頻波Navier-Stokes 方程波浪潛沒平板
外文關鍵詞: reflection coefficients, higher harmonics, vortices, water waves, submerged flate plate, Navier-Stokes equation
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  • 本文發展數值模式求解二維時變的Navier-Stokes方程及完整的自由液面邊界條件,探討波浪與潛沒平板的交互作用。數值計算域中放置一直推式造波板來產生入射波,而下游則採用延伸網格避免波浪反射。本文模擬波浪通過平板時所得6個不同位置的水位時序列資料,經與Kojima et al. (1994)的實驗結果比較非常吻合,證明本數值模式的準確性。在確認模式的準確性後,本文探討不同波浪與平板幾何條件下,高頻波生成、反射率與透射率、及平板附近流場的特性。此外,為了呈現平板與一般常用的潛堤的差異,上述部份結果也與波浪通過矩形潛堤的結果比較。本文數值結果顯示當波浪通過平板時,平板下方會產生類似震盪流的流況;震盪流的相位若與平板兩端的波浪相位不同時,會在平板四周產生複雜的流場。此外,平板長度控制得宜時,波浪能量可以藉由流場經由平板下方往離岸方向傳遞,達到比潛堤更好的反射波能的效果。

    A numerical model was developed to solve the unsteady, two-dimensional Navier-Stokes equations and the exact free surface boundary conditions for investigating the interaction of water waves and a submerged flat plate. A piston-type wavemaker was set up in the computational domain to generate the incident water waves. The accuracy of the numerical model was verified by comparing the numerical results of water surface elevation with the experimental data. After having verified the accuracy of the numerical model, the wave and flow fields produced as waves propagate over a submerged flat plate were discussed in terms of the higher harmonics, the reflection and transmission coefficients, and the vortices. The corresponding results for a submerged breakwater were also provided for comparing the hydrodynamic efficiency between a plate and a breakwater. The numerical results show that as waves propagate over a submerged flat plate, the flow beneath the plate behaves like an oscillatory flow. This flow induces complicated flow fields if it is not in phase with the waves at the two edges of the plate. Furthermore, at appropriate plate lengths, the wave energy can be transmitted offshore through the flows beneath the plate, and thus results in a better wave reflection than in the case of a submerged breakwater.

    中文摘要 I Abstract II 謝 誌 III 目 錄 IV 表目錄 VI 圖目錄 VII 符號說明 IX 第一章 緒論 1 1-1 研究動機 1 1-2 前人研究 2 1-3 本文架構 5 第二章 理論分析 6 2-1控制方程式 6 2-2無因次化處理 7 2-3 邊界條件和初始條件 8 第三章 數值方法 14 3-1 計算網格之配置 14 3-2 控制方程式之離散化 14 3-3 SIMPLER演算法 18 3-4 邊界及計算網格的處理 21 3-4-1 自由液面上速度及壓力之計算 21 3-4-2 自由液面位置及計算網格的處理 24 3-4-3網格配置 25 3-5 計算流程 26 3-5-1 模式計算流程 26 3-5-2數值模式流程圖 27 第四章 結果與討論 28 4-1 數值模式驗證 29 4-2 自由液面波形變化 30 4-3 反射率與透射率 35 4-4 平板附近流場 40 4-5 平板受力情形 48 第五章 結論與建議 51 5-1 結論 51 5-2 建議 52 參考文獻 53 附錄A 56

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