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研究生:陳怡吟
研究生(外文):Chen, I-Yin
論文名稱:四元樹自調適數值水槽之建立
論文名稱(外文):The development of a quadtree-adaptive numerical wave tank
指導教授:蔡加正
指導教授(外文):Tsai, Chia-Cheng
口試委員:蔡加正沈建全張人懿魏志強林岳霆
口試委員(外文):Tsai, Chia-ChengShern, Jian-ChuanChang, Jen-YiWei, Chih-ChiangLin, Yueh-Ting
口試日期:2013-05-06
學位類別:碩士
校院名稱:國立高雄海洋科技大學
系所名稱:海洋環境工程研究所
學門:工程學門
學類:環境工程學類
論文種類:學術論文
論文出版年:2013
畢業學年度:101
語文別:中文
論文頁數:50
中文關鍵詞:四元樹自調適網格流體體積法數值造波水槽
外文關鍵詞:quadtree-adaptivevolume-of-fluidnumerical wave tank
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  • 下載下載:27
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本研究利用四元樹自調適網格與流體體積計算法(volume of fluid, VOF)之數值模式建立二維黏性數值造波水槽,模擬波浪受結構物之影響。本研究模式驗證,以Beji & Battjes (1994)所設計之水槽模型,作為數值模擬驗證分析,並將模擬結果分別與Beji & Battjes (1994)之實驗量測及Huang & Dong (1999)之有限解析法(FA)進行模式驗證。驗證結果顯示,本模式與前人之試驗值與數值結果整體趨勢達到吻合,唯有在波浪傳播至結構物頂端與結構物下坡段,波高值略有高估之情形。
對於不同網格階數大小,驗證結果之準確度方面,其結果顯示網格越密,波峰及波谷會呈現比較明顯的現象。波浪傳遞於自由液面網格之變化,當波浪抵達時,網格較密,反之,波浪未抵達或離開時,網格較粗。最後,本文可證實本研究所採用之數值方法,對於研究波浪受結構物之影響變化具有良好的適用性。

This study develops a quadtree-adaptive and volume-of-fluid method to simulate a two-dimensional viscous numerical wave tank for the deformation of waves propagating over structures. The numerical results are in good agreement with those of Beji and Battjes (1994). In addition, the finer grid gives the higher accuracy of the predicted wave height.
When waves are propagating in the wave tank, the grid system can be adapted to the waves. In other words, grids are finer around the free surface of the waves. Overall, this study demonstrated the applicability of a quadtree-adaptive wave tank for simulating wave propagation over structures.

摘 要 I
Abstract II
目錄 III
表目錄 V
圖目錄 VI
符號說明 VIII
第一章 緒論 1
1.1 研究動機與目的 1
1.2 文獻回顧 3
1.2.1 四元樹網格(quadtree grid) 3
1.2.2 投影法(projection method) 5
1.2.3 實驗水槽(experimental wave tank) 6
1.3 本文組織 7
第二章 理論分析與數值方法 8
2.1 控制方程式 8
2.2 時間離散與投影法 9
2.3 空間離散 12
2.4 純量波以松方程式的有限體積解 15
2.5 向量荷姆茲方程式的有限體積解 22
2.6 正向速度的上風逼近 24
2.7 向量對流項的表示 27
2.8 純量對流 29
第三章 結果與討論 31
3.1 數值水槽模式配置 31
3.2 網格生成 33
3.3 數值模擬驗證結果 36
3.4 不同網格階數驗證結果 40
第四章 結論與建議 45
4.1 結論 45
4.2 建議 46
參考文獻 47


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