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研究生： 洪靖博
Hung, Jing-Bo
論文名稱： 穩態均勻流中線性波通過拋物線型結構物之數值研究
Numerical Study of Linear Waves Propagating over a Submerged Parabolic Obstacle in the Presence of a Steady Uniform Current
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： 2011
畢業學年度： 99
語文別： 英文
論文頁數： 143
中文關鍵詞： 波流互制作用 、波流結構物互制作用 、潛沒式拋物線型結構物 、渦流演化
外文關鍵詞： wave-current interaction, wave-current-structure interaction, submerged parabolic obstacle, vortex evolution
相關次數： 點閱：136  下載：6 
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    • 本文研究主題為利用二維波浪模式(COBRAS)模擬穩態均勻流中線性波通過拋物線型結構物之現象。本研究所利用之數值模式為求解雷諾平均方程式(RANS)，並採用流體體積法(VOF)追蹤自由液面之變化。波與流同時在入射邊界產生與傳遞，為避免波流共存時產生的水面震盪和邊界反射問題，採用緩衝函數(ramp function)和輻射邊界條件(RBC)。
    為了驗證模式之模擬能力，本文與Tsao (1959)所推導之理論解做驗證，包括波形和速度剖面。從比較結果推估本模式具備不錯的模擬能力。
    本文主要探討線性波通過拋物線型結構物時，有無一穩態均勻流存在時的現象比較，討論主題包括空間波形、渦度場、速度場、質點運動軌跡和底床動壓。

    This study shows the numerical results of a linear wave train propagating over a submerged parabolic obstacle with and without current using the two-dimensional volume of fluid (VOF)-type numerical model called COBRAS (Cornell BReaking And Structure). The present numerical model solves the Reynolds Averaged Navier-Stokes (RANS) equations for describing mean flow motion of essentially any Newtonian fluid. The volume of fluid (VOF) method is used to trace the free surface motion. In our study, the wave and current are generated through the inflow boundary by specifying both free surface elevation and velocity components. To avoid the unwanted fluctuation and reflection with the coexistence of wave and current, a ramp function is used and the outflow phase velocity of the radiation boundary condition is also modified.
    The capability of present numerical model is validated with the analytical solution of Tsao (1959). Comparisons are made between present numerical result and the analytical solution and they show fairly good agreements.
    Furthermore, a linear wave train propagating over a submerged parabolic obstacle with and without current is investigated. Particularly, the spatial surface profile, vorticity field, velocity field, particle kinematics and bottom dynamic pressure are discussed in detail.

    Abstract I 中文摘要 III 誌謝 IV Contents V List of Tables IX List of Figures X List of Symbols XVIII Chapter 1 Introduction 1 1-1 Motivation 1 1-2 Applications 2 1-3 Scope of Present Study 3 Chapter 2 Literature Review 4 2-1 Wave-Current Interaction 4 2-2 Wave-Structure Interaction 8 2-3 Wave-Current-Structure Interaction 9 Chapter 3 Numerical Model 12 3-1 Model Description 12 3-2 Governing Equations 13 3-3 k-ε Turbulent Closure Model 15 3-4 Initial and Boundary Condition 21 3-4-1 Initial Condition 21 3-4-2 Upstream Boundary Condition 22 3-4-3 Downstream Boundary Condition 24 3-4-4 Solid and Free Surface Boundary Condition 25 3-5 Numerical Implementation 26 3-5-1 Two-Step Projection Method 26 3-5-2 Finite-Difference Method 27 3-5-3 Volume of Fluid Method 34 3-5-4 k-ε Equations 38 3-5-5 Partial Cell Treatment 42 3-6 Ramp Function 43 Chapter 4 Model Validation 45 4-1 Sending Pure Current 45 4-2 Comparing with Analytical Solutions (Tsao, 1959) 47 4-2-1 Strength of Wave-Current Interaction 47 4-2-2 Lower Nonlinearity 50 4-2-3 Higher Nonlinearity 56 4-3 Comparing with Experiments 62 Chapter 5 Wave-Current-Structure Interaction 64 5-1 Numerical Setup 64 5-1-1 Numerical Parameters 64 5-1-2 Specification of the Initial Velocity Field 66 5-2 Flow Characteristics under Pure Current Condition 66 5-2-1 Spatial Surface Profile 66 5-2-2 Velocity Field 73 5-2-3 Vorticity Field 76 5-3 Convergence Test and Spatial Surface Profile 79 5-3-1 Reference Gauge and Time without and with Current Conditions 79 5-3-2 Convergence Test 82 5-3-3 Spatial Surface Profile without Current Condition 84 5-3-4 Spatial Surface Profile with Current Condition 84 5-4 Vorticity Field and Vortex Evolution 87 5-4-1 Vorticity Field without Current Condition 87 5-4-2 Vorticity Field and Evolution with Current Condition 89 5-4-3 Shedding Frequency with Current Condition 102 5-5 Velocity Field and Particle Trajectory 104 5-5-1 Velocity Field without Current Condition 104 5-5-2 Velocity Field with Current Condition 107 5-5-3 Testing of Plotting Time Interval 109 5-5-4 Particle Trajectory under Pure Wave Condition 111 5-5-5 Particle Trajectory with Current Condition 112 5-6 Pressure Field 116 5-6-1 The Dynamic Pressure at the Bottom Bed without Current Condition 116 5-6-2 The Dynamic Pressure at the Bottom Bed with Current Condition 117 5-7 Current Strength Effect 121 5-7-1 Reference Gauge and Spatial Profile 121 5-7-2 Vorticity Field and Shedding Frequency 124 5-7-3 Velocity Field and Particle Trajectory 128 5-7-4 Dynamic Pressure at the Bottom Bed 130 Chapter 6 Conclusions and Future Works 132 6-1 Concluding Remarks 132 6-2 Future Works 134 References 135 個人自述 143

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