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研究生: 吳鵬旭
Wu, Peng-Hsu
論文名稱: 孤立波通過三維潛沒式彈性圓柱交互作用之數值模擬
Numerical Simulation of Solitary Wave Interaction with a Three-Dimensional Submerged Elastic Cylinder
指導教授: 蕭士俊
Hsiao, Shih-Chun
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: 2026
畢業學年度: 114
語文別: 中文
論文頁數: 140
中文關鍵詞: 孤立波流固耦合彈性圓柱OpenFOAMsolids4Foam三維渦流結構
外文關鍵詞: solitary wave, FSI, elastic cylinder, OpenFOAM, solids4Foam, three-dimensional vortex structure
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  • 海岸植栽與柔性消波結構常被用於減緩波浪衝擊,在水流作用下會產生彎曲與擺動,使波浪、流場與結構反應之間形成交互影響。為探討孤立波通過柔性結構物時的交互作用,本研究以潛沒式直立圓柱作為簡化模型,探討孤立波通過剛性與彈性圓柱時之自由液面變化、水平受力、結構位移與尾流發展。數值模型採用 OpenFOAM 結合 solids4Foam 建立三維流固耦合數值水槽,流體部分以 RANS 方程式搭配 k−ω SST 紊流模式求解,並利用 VOF 方法捕捉自由液面;彈性圓柱則透過固體控制方程式計算結構變形,並以 ALE 動態網格與 Aitken 動態鬆弛法處理流固耦合過程。
    本研究首先以均勻流通過有限長圓柱案例和文獻比對,驗證數值模式對圓柱阻力與三維尾流特徵之預測能力。接著針對孤立波通過剛性圓柱案例,將自由液面、水平受力、速度場與渦度場結果與實驗結果進行比對。最後以孤立波通過彈性圓柱案例,比較數值模擬與實驗量測之自由液面、速度場及渦度分布,以確認本研究流固耦合模型於彈性結構問題中之適用性。
    本研究接著比較孤立波通過剛性與彈性圓柱時之自由液面、水平受力、結構位移與尾流發展,並探討不同彈性係數對流固耦合反應之影響。結果顯示,結構彈性對整體自由液面傳遞影響有限,主要差異出現在圓柱受力、位移反應與後方尾流結構。相較於剛性圓柱,彈性圓柱之水平受力峰值略低,且位移峰值晚於受力峰值出現。不同彈性係數比較則可得知,彈性係數較低時,圓柱順流向變形與回彈明顯,受力變化維持時間也較長。但渦度分布與三維尾流結構並非單純隨彈性係數降低而增強,而是受到結構變形、回復運動與尾流交互作用共同影響。

    This study investigates the interaction between a solitary wave and a submerged vertical cylinder as a simplified model of flexible coastal structures. A three-dimensional fluid–structure interaction model was developed using OpenFOAM coupled with solids4Foam. The fluid field was solved with the RANS equations and the k–ω SST turbulence model, while the free surface was captured using the VOF method. Structural deformation was handled through an ALE dynamic mesh and Aitken's dynamic relaxation method.
    The model was validated against finite-cylinder flow data and solitary-wave experiments with rigid and elastic cylinders. The results show that structural elasticity has little influence on the overall free-surface variation, but affects the horizontal force, displacement response, and wake development. The elastic cylinder shows a slightly lower peak force than the rigid cylinder, and its maximum displacement occurs after the force peak. For different Young's moduli, lower stiffness leads to larger deformation and longer force duration, while the wake structure is governed by deformation, recovery motion, and wake interaction.

    摘要 I Extended Abstract II 誌謝 XIII 目錄 XIV 表目錄 XVII 圖目錄 XVIII 第一章 緒論 1 1-1研究背景及動機與目的 1 1-2文獻回顧 2 1-2-1孤立波的基礎理論 2 1-2-2 圓柱結構物於流場作用下之相關研究 4 1-2-3孤立波與潛沒結構物之交互作用 5 1-3論文架構 7 第二章 數值模型與方法 8 2-1數計算平台介紹 8 2-1-1數值計算平台: OpenFOAM 9 2-1-2求解器: solids4Foam 9 2-2數值模型理論 10 2-2-1流體控制方程式 10 2-2-2固體控制方程式 13 2-2-3紊流閉合模式 16 2-2-4流體體積法(Volume of Fluid)19 2-2-5造波和消波的鬆弛區處理方法 21 2-2-6 ALE動態網格描述法 23 2-2-7流固耦合介面邊界條件 24 2-3數值方法 26 2-3-1 有限體積法 ( Finite Volume Method, FVM ) 26 2-3-2 動態鬆弛法 ( Aitken's Method ) 28 2-3-3 模式計算流程 30 第三章 數值模式驗證 32 3-1均勻流通過有限長圓柱之驗證 32 3-2孤立波通過剛性圓柱結構物之驗證 36 3-2-1模型配置與模擬條件 36 3-2-2網格收斂性測試 38 3-2-3自由液面與受力驗證 41 3-2-4速度場與渦度場驗證 42 3-3孤立波通過彈性圓柱結構物之驗證 49 3-3-1模型配置與模擬條件 49 3-3-2自由液面、速度場與渦度場驗證 51 第四章 研究結果與討論 66 4-1孤立波通過剛性與彈性圓柱結構物之比較 66 4-1-1模擬配置與條件 66 4-1-2 自由液面變化比較 67 4-1-3 圓柱受力與結構物位移比較 68 4-1-4流場與渦度分布比較 70 4-1-5 三維渦流結構比較 80 4-2不同彈性係數之比較 87 4-2-1模擬配置與條件 87 4-2-2自由液面變化比較 88 4-2-3不同彈性係數之受力與位移比較 89 4-2-4流場與渦度分布比較 91 4-2-5三維渦流結構比較 102 第五章 結論與建議 110 5-1結論 110 5-2建議 112 參考文獻 113

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