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題名 | 孤立波通過三維潛堤所衍生之波場與流場=Wave- and Flowfields Induced by a Solitary Wave Propagating over a Submerged 3D Breakwater |
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作者 | 王豪偉; 黃清哲; | 書刊名 | 海洋工程學刊 |
卷期 | 6:2 民95.11 |
頁次 | 頁1-21 |
分類號 | 443.31 |
關鍵詞 | 三維數值造波水槽; 三維潛堤; 波形變化; 渦流; 3D numerical wave tank; 3D submerged breakwater; Wave transformation; Vortices; |
語文 | 中文(Chinese) |
中文摘要 | 本文發展數值方法求解三維、時變的Navier-Stokes方程及完整的自由液面邊界條件,模擬孤立波通過三維潛堤時波形的變化及流場特性。在數值方法上,本文將有限解析法擴展到三維用來離散Navier-Stokes方程,同時將處理自由液面的Marker and Cell(MAC)方法推廣到三維。在數值計算域中給定一直推式造波板作為造波之用。由於三維計算域之網格數量龐大,本文之結果主要是聯結多台個人電腦形成叢集電腦 (PC-cluster) 進行計算所得。為了驗證本數值模式之準確性,本模式模擬波浪通過二維梯形潛堤;潛堤附近波形變化之數值結果,經與實驗結果相較非常吻合。本文數值計算結果顯示孤立波通過三維潛堤時,潛堤上方波峰之相位與水槽側壁附近之波峰相位相較,有明顯延遲的情形,且延遲的相位以潛堤中線為最大。此外,孤立波通過潛堤時,會於潛堤的四個堤腳及上、下游堤角處,分別產生渦流。 |
英文摘要 | A numerical scheme was developed to solve the unsteady 3D Navier-Stokes equations with the exact free surface boundary conditions for simulating the interaction of solitary waves and a submerged 3D breakwater. The 2D finite-analytic method was extended to discretize the 3D Navier-Stokes equations and the 2D marker-and-cell (MAC) method was extended to treat the 3D free surfaces. A piston-type wave generator was incorporated in the computational domain to generate the desired incident waves. The accuracy of the numerical model was verified by comparing the numerical results of water surface elevations as waves propagate over a submerged trapezoidal breakwater with the experimental data. As the 3D numerical computation requires a huge memory and a long computational time, the computation was carried out on a PC-cluster established by connecting ten personal computers. Our numerical results show that as a solitary wave propagates over a 3D submerged breakwater, the wave crest over the breakwater undergoes a phase lag compared with that near the side walls and vortices are generated at the four bottom corners and the upstream and downstream edges of the breakwater. |
本系統之摘要資訊系依該期刊論文摘要之資訊為主。