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系統識別號 U0026-1708201923280900
論文名稱(中文) 以OpenFOAM模擬二相流與彈性結構物之交互作用
論文名稱(英文) Simulation of Two-phase Flow Structure Interaction Using OpenFOAM
校院名稱 成功大學
系所名稱(中) 水利及海洋工程學系
系所名稱(英) Department of Hydraulics & Ocean Engineering
學年度 107
學期 2
出版年 108
研究生(中文) 李冠廷
研究生(英文) Kuan-Ting Lee
學號 N86064181
學位類別 碩士
語文別 中文
論文頁數 86頁
口試委員 指導教授-蕭士俊
口試委員-蔡清標
口試委員-劉景毅
口試委員-吳南靖
中文關鍵字 流固交互作用  OpenFOAM  分區法  強耦合 
英文關鍵字 FSI  OpenFOAM  partitioned method  strongly coupled 
學科別分類
中文摘要 流體與結構物之交互作用屬於一多領域物理問題,又稱為FSI問題,當結構物為一彈性體時,更增加了該問題之難度。本研究採用分區法求解流固耦合問題,分別求解流場、結構物,再透過流固交界面耦合兩求解器,流體採用之控制方程式為Navier-Stokes方程式,並以流體體積法(VOF)獲得自由液面;考慮結構物之大變形因此採用StVenant-Kirchhoff本構關係式。
所使用之數值軟體為OpenFOAM,該軟體基於有限體積架構,並採用C++語言編成。使用之求解器為solids4Foam,該求解器融合OpenFOAM流場與固體求解器,因此能處理更廣泛的流固耦合問題。
本研究首先透過孤立波流經剛性浸沒式平板以測試本模式之造波、吸波能力,分析自由液面、速度場、渦流強度以及紊流強度,與前人比較後獲得不錯的結果,此外藉由潰壩波衝擊彈性平板模擬,以確認本模式求解彈性體運動之能力。
最後進一步延伸模擬孤立波通過彈性浸沒式平板,比較不同尺寸,分析自由液面、渦度場之變化,發現當平板寬高比較小時,結構物之彈性效應較容易呈現,而由於孤立波經過平板時,彈性平板變形方向與孤立波行徑方向一致,因此相對速度較低,而細長外觀平板由於容易變形,因此消波能力較差,故自由液面下降幅度較少。
英文摘要 Numerous studies focus on the interaction between fluid and rigid structure for a long time but the fluid interaction with flexible structure also attract much attention. In present study, the process of water wave interaction with submerged elastic plate is simulated by an open-source software—OpenFOAM, where a wave generation toolbox waves2Foam is employed to generate and absorb wave. The incompressible fluid is described by Navier-Stokes equation, the motion of elastic body is modeled by StVenant-Kirchhoff constitutive law and the free surface elevation is tracked using VOF method. There are two experiments to validate the numerical model. In the first one the solitary wave pass through the submerged rigid plate is considered to check the ability of wave generation and absorption. The other is a dam-break flow impacting on an elastic plate. Finally, considering the solitary wave interaction with submerged elastic plate, and analyze the evolution of free surface, velocity fields and the coefficients of reflection and transmission.
論文目次 中文摘要 I
ABSTRACT II
誌謝 XVII
目錄 XVIII
表目錄 XXI
圖目錄 XXII
符號表 XXV
第一章 緒論 1
1.1 研究動機 1
1.2 文獻回顧 2
1.3 軟體介紹 8
1.3.1 數值軟體: OpenFOAM 8
1.3.2 求解器: solids4Foam 9
1.4 本文架構 10
第二章 理論基礎 11
2.1 控制方程式 11
2.1.1 流場控制方程式 11
2.1.2 紊流閉合模式 13
2.1.3 流體體積法(Volume of Fluid, VOF) 14
2.1.4 鬆弛區造波、吸波法(Relaxation Zone method) 15
2.1.5 ALE描述法 17
2.1.6 固體控制方程式 18
2.1.7 流固交界面之邊界條件 20
第三章 數值模式 22
3.1 有限體積法(Finite Volume method, FVM) 22
3.2 動態鬆弛法(Aitken's method) 22
3.3 計算流程 24
第四章 模式驗證 26
4.1 孤立波與剛性平板之交互作用 26
4.1.1 數值模式配置 26
4.1.2 網格敏感度測試 27
4.1.3 自由液面變化 28
4.1.4 速度場分析 30
4.1.5 渦度場分析 37
4.1.6 紊流強度分析 39
4.2 潰壩波與彈性平板之交互作用 43
4.2.1 數值模式配置 43
4.2.2 網格及時間步敏感度測試 45
4.2.3 彈性平板頂點位移變化分析 48
第五章 孤立波通過彈性結構物 53
5.1 數值模式配置 53
5.2 剛性平板與彈性平板之差異 54
5.2.1 剛性平板與彈性平板於自由液面之差異 54
5.2.2 剛性平板與彈性平板之速度場分佈 56
5.2.3 剛性平板與彈性平板之渦度場分佈 62
5.3 比較不同尺寸之彈性平板 64
5.3.1 不同寬度之彈性平板 64
5.3.2 不同高度之彈性平板 72
5.3.3 反射及透射效應 78
第六章 結論與建議 81
6.1 結論 81
6.2 建議 82
參考文獻 83
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