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題名 | 兩端邊界以變速移動引致波形與波高之研究 |
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作者 | 孔慶華; 楊瑞源; 王德順; | 書刊名 | 國立臺灣大學工程學刊 |
卷期 | 62 1994.10[民83.10] |
頁次 | 頁49-60 |
分類號 | 443.1 |
關鍵詞 | 雙曲線形偏微分方程; 特徵線法; 碎波; Hyperbolic partial differential equation; Characteristics method; Breaking wave; |
語文 | 中文(Chinese) |
中文摘要 | 建立一分析兩端邊界以變速移動時引致衍生水面波形與波高問題的理 論模式架構是本文主要目的。所欲求解的方程組為統御二維雙曲線形偏微分方 程,其中包括了時間及空間的微分變動項。待測問題的擾動源為一變速移動約兩 端垂百隔板之前緣與後緣。因之,它即是本研究課題之致波源。而致波源的運動 方式將使兩端隔板中間水域產生各類相異之波形與波速。故本研究即以解析法來 求得此類問題之波速及波高等、並區分水域之不同特性。文中以特徵線法 (characteristics method)將控制偏微分方程簡化為待求解的聯立代數方程組。而後據 此理論模式分析了兩端隔板快速抽開,或兩端隔板以變速向外及變速向內移動等 運動方式,求出其波速與時間、位置之關係,與不同時間下之最大波高。最後並 探討了碎波的現象。此研究主題最重要的探討區域為交互作用區,此區蘊含了淺 水波交互影響之豐富物理訊息,可提供海洋工程研究者一重要參考依據。 |
英文摘要 | The main purpose of present study is to set up an analytical solution algorithm to treatthe problem for two vertical plates moving with various speed toward (or away from) eachother. The governing equations to be solved is a set of two-dimensional hyperbolic partialdifferential wave equations which contain time and space differential terms. Disturbances of the investigated problem are the moving vertical plate at the front andthe rear of boundaries of the flow field. Therefore, they are "wave sources". The basicpartial differential equation would be solved by "characteristics method". Thus, we could geta set of algebraic equations. The most important region in this problem is the "interactionregion". It would provide us so many informations about shallow water wave interactivephenomena. The predicted flow velocity, wave velocity and the highest wave height atdifferent time were addressed in this paper. In the end, we also discussed the criteria ofbreaking wave. After all, the results of this study would be helpful in the reasearch ofcoastal engineering. |
本系統之摘要資訊系依該期刊論文摘要之資訊為主。