臺灣博碩士論文加值系統

本文將採用隱式虛擬邊界法於非交錯性直角坐標網格系統解決零厚度平板之沉浸邊界或移動邊界問題，並搭配補綴網格的使用，使計算速度可大幅提升且可保持答案之精確性。此方法可準確計算零厚度平板之沉浸邊界問題，不論平板為垂直或是傾斜任意的角度，本文更將此方法應用於蜻蜓飛行之流場計算，完全符合蜻蜓翅膀厚度極小亦可視為無厚度之情形，無須將翅膀設定為有厚度的類橢圓形，且成功模擬出蜻蜓飛行之流場與壓力場之答案，也獲得蜻蜓飛行之垂直力與水平力，由模擬結果可獲得許多不同以往之想法。而此方法經由本文成功解決零厚度之沉浸邊界問題後，便可適用於各類沉浸邊界或移動邊界之問題，無論有無厚度或不規則形狀，皆可獲得良好之答案。

We apply an implicit virtual boundary method with non-staggered coordinate grid system to zero thickness flat plate. Also we use a patch grid to reduce the calculating time and keep the accuracy at the same time. This method can solve the immersed boundary problem for a zero thickness flat plate accurately, no matter it is vertical or with arbitrary angle. We also apply a method to calculate a flying dragonfly, which we won’t need to assume the wings as elliptical geometries with thin thickness, but directly solve them as a zero thickness problem and successfully get the answer of flow and pressure field instead. Also, we may get the drag and lift coefficients. Due to the simulation in this case, we can gain many ideas different from the past. Consequently, the implicit virtual boundary method can successfully applied to many different problems.

摘要
ABSTRACT
誌謝
圖目錄
符號表
第一章 序論
1.1 前言
1.2 文獻回顧
1.3 研究方法與目的
第二章 數值方法
2.1 統御方程式
2.2 網格系統
2.3 隱式法
2.4 NAPPLE法則
2.5 虛擬邊界法
2.6 零厚度沉浸物體問題
2.7 補綴網格
2.8 收斂判定
第三章 案例模擬
3.1 均勻流流過一靜止圓柱
3.2 均勻流流過一垂直X軸之零厚度平板
3.3 均勻流流過一傾斜之零厚度平板
3.4 靜止流場中兩零厚度蜻蜓翅膀進行週期性運動
第四章 結論
參考文獻

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