臺灣博碩士論文加值系統

本研究目的建立數值模式求解納維爾-史托克斯方程式，同時應用該模式於潰壩波與結構物交互作用。本文採用控制體積的有限差分法來計算潰壩波通過多個結構物的水動力分析，為了克服碎波問題，應用流體體積法來追蹤自由液面水位。本模式應用於部分潰壩波通過3個串聯排列的圓柱，同時考慮上游入流流量每秒為10立方公尺的流量流入蓄水池，部分潰壩波通過3個串聯排列的圓柱，潰壩波通過3個串聯排列的圓柱的受力分析也在本文呈現。最後，本模式應用於潰壩波與移動物體的交互作用。結果顯示本文採用的數值方法可精準的模擬三維自由液面之流場。

The purpose of present study aims at the establishment of a numerical model for the solution of Navier-Stokes equations and its application to the interaction of dam-break wave and multi-structures. The control volume finite difference scheme was used to calculate the hydrodynamic performances of dam-break flow through several structures. To overcome the difficulty associated with solving the wave breaking, a volume-of-fluid method was used to track the elevation of free-surface. The present study naturally gives more reasonable results on problems including the partial dam-break flow over three cylinders in tandem arrangements, and interaction between a dam-break surge and three circular cylinders with the consideration of inflow equal to be 10 m3/s. The times variation of force calculation of three cylinders is performed during the interaction of dam-break wave and structures. Finally, the mode is used to the moving objects problem with dam-break flow. These results obtained are demonstrated to the application of the free-surface flows by using the propsed numerical model.

中文摘要 1
Abstract 2
致謝 3
目錄 4
圖目錄 6
表目錄 9
符號說明 10
第一章 緒論 12
1-1 前言 12
1-2 研究動機與目的 13
1-3 文獻回顧 14
1-4 本文架構 19
第二章 理論架構 20
2-1 理論簡介 20
2-2 Navier-Stokes 之控制方程式 20
2-3 流體體積法（Volume of fluid） 22
2-4 數值方法 23
第三章 模擬方法與步驟 26
3-1 模擬軟體簡介 26
3-2 數值模擬前處理 27
3-2-1 模擬流程 27
3-2-2 模型建置 28
3-2-3模擬時間與物理條件設定 29
3-2-4 規劃模擬方案 30
3-2-5 網格設置 33
3-2-6 邊界條件設定 34
3-3 數值模擬後處理 37
第四章 結果分析與討論 40
4-1潰壩波對三縱向排列圓柱之受力分析(case1-1與case1-2) 40
4-1-1 圓柱半徑 0.5 m 速度大小水位變化圖 42
4-1-2 圓柱半徑0.5 m結構物之壓力和速度向量水位變化 45
4-1-3 圓柱半徑 1 m 速度大小水位變化圖 48
4-1-4 圓柱半徑1 m結構物之壓力和速度向量水位變化 51
4-2 增加入流條件下的潰壩波對結構物之受力分析(case2-1與case2-2) 55
4-2-1 圓柱半徑 0.5 m 速度大小水位變化圖 57
4-2-2 圓柱半徑0.5 m結構物之壓力和速度向量水位變化 60
4-2-3 圓柱半徑 1 m 速度大小水位變化圖 63
4-2-4 圓柱半徑1 m結構物之壓力和速度向量水位變化 66
4-3移動物體之流動分析 70
4-3-1 圓柱半徑 1 m 速度大小水位變化圖 70
4-4 潰壩受力綜合比較分析 75
4-4-1 case1-1、case1-2 結構物之受力變化圖 75
4-4-2 case2-1、case2-2 結構物之受力變化圖 77
第五章 結論與建議 79
5-1 結論 79
5-2建議 79
參考文獻 81

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