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研究生: 羅士閔
Lo, Shih-Min
論文名稱: 溢出型與捲浪型碎波在碎波帶上流場特性之數值研究
Numerical study of flow characteristics of spilling and plunging breakers in the surf zone
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: 中文
論文頁數: 85
中文關鍵詞: 碎波帶溢出型碎波捲浪型碎波RANS
外文關鍵詞: surf zone, spilling breaker, plunging breaker, RANS
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  • 本文以二維數值模式模擬週期波通過斜坡時在碎波帶之流場特性,藉由調整斜坡坡度以探討溢出型與捲浪型碎波之速度向量場、流線場、渦度場、紊流動能場及壓力場,並比較其物理現象。本文所使用之數值模式為求解雷諾平均方程(Reynolds Averaged Navier-Stokes,RANS), 並結合k-ε紊流閉合模式再以流體體積法(Volume of Fluid,VOF)追蹤自由液面。文中以Huang(2009a,b)與Huang(2010)之實驗作為數值驗證,以說明本文中之數值模式適用於模擬碎波帶之流場特性。接著在固定波浪條件下,討論週期波在1/20與1/10光滑斜坡上之溢出型與捲浪型碎波的流場特性,並探討碎波過程中流場結構的變化,以流線場、渦度場與紊流場等相互對照以比較其關聯性,由數值結果可以觀察捲浪型碎波整體而言之渦度與紊流動能皆大於溢出型碎波,且量值最大的部分集中在波峰之前端並逐漸向後擴展消散。

    The study uses two dimensional numerical model to simulate the flow characteristics in the surf zone when the progressive regular waves over a slope beach, and discusses the velocity vector fields, streamline fields, vortex fields, turbulence kinetic energy fields and pressure fields of spilling breaker and plunging breaker by modulating the slope, then compares the physical phenomenon. The numerical model solves the Reynolds averaged Navier-Stokes (RANS) equations coupled with k-ε turbulence closure model, and uses the volume of fluid method to track free surface configurations.
    On model validation, the experimental results of Huang(2009a,b) and Huang(2010) are taken to compare with the numerical results for demonstrating that the numerical model can be apply to simulate the flow characteristics in the surf zone. By fixing the wave conditions, the flow characteristics of spilling breaker and plunging breaker on 1/20 and 1/10 slopes are discussed. From the numerical results, the vortex values and the turbulence values of plunging breaker are much stronger than spilling breaker, and the max values generate in the bore front and then decrease in the inner surf zone.

    摘要 I Abstract II 誌謝 III 目錄 IV 表目錄 VII 圖目錄 VIII 符號說明 XI 第一章 緒論 1 1-1 研究動機與目的 1 1-2 文獻回顧 2 1-3 本文組織 4 第二章 數值模式介紹 5 2-1 模式簡介 5 2-2 控制方程式 5 2-3 k-ε紊流閉合模式 7 2-4 起始條件與邊界條件 11  2-4-1  起始條件 11   2-4-2  上游邊界條件 13   2-4-3  下游邊界條件 14   2-4-4  固態底床之邊界條件 14 2-4-5 自由液面之邊界條件 15 2-5 數值方法 16 2-5-1 二步階投射法(two-step project method) 16 2-5-2 有限差分法(finite difference method) 17 2-5-3 流體體積法(Volume of fluid method) 21 2-5-4 k-ε方程式 23 第三章 數值模式之驗證 27 3-1 實驗與數值條件之設定 27 3-2 實驗與數值結果之驗證 30 3-2-1 波形與自由液面之驗證 30 3-2-2 速度向量場與波峰相位之水平速度分量之驗證 31 3-2-3 紊流動能剖面之之驗證 32 第四章 結果與討論 40 4-1 數值模擬溢出型碎波之探討 40 4-1-1 溢出型碎波之速度流線場探討 41 4-1-2 溢出型碎波之渦度場探討 42 4-1-3 溢出型碎波之紊流動能場探討 43 4-1-4 溢出型碎波之壓力場探討 43 4-2 數值模擬捲浪型碎波之探討 52 4-2-1 捲浪型碎波之速度向量場探討 54 4-2-2 捲浪型碎波之速度流線場探討 55 4-2-3 捲浪型碎波之渦度場探討 55 4-2-4 捲浪型碎波之紊流動能場探討 56 4-2-5 捲浪型碎波之壓力場探討 57 4-3 溢出型與捲浪型碎波之比較探討 73 4-3-1 溢出型與捲浪型碎波之水平速度特性探討 73 4-3-2 溢出型與捲浪型碎波之渦度結構特性探討 75 第五章 結論與建議 80 5-1 結論 80 5-2 建議 81 參考文獻 82

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