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題名 | Boussinesq方程式應用於波浪布拉格反射之研究=An Application of Boussinesq Equations to Bragg Reflection of Water Waves |
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作者 | 許泰文; 楊炳達; 周世恩; 曾以帆; | 書刊名 | 海洋工程學刊 |
卷期 | 3:2 2004.02[民93.02] |
頁次 | 頁1-24 |
分類號 | 443.1 |
關鍵詞 | Boussinesq方程式; 布拉格反射; 不規則波; 人工沙漣; Boussinesq equations; Bragg reflection; Random waves; Artificial sand bars; |
語文 | 中文(Chinese) |
中文摘要 | 本文以 Wei et al. (1995) 所推導之二階全非線性 Boussinesq 方程式建立波浪數值模式,再以其探討規則波和不規則波通過 Davies and Heathershaw (1984) 及 Kirby and Anton (1990) 之人工沙漣底床所產生的布拉格反射效應,並與 Miles (1981) 的反射率理論及 Hsu et al. (2003) 之演進型態緩坡方程式計算之結果作一比較。結果顯示,在規則波條件時,本文模式可較良好描述發生布拉格共振之尖峰反射率與次諧波共振反射率﹔而在不規則波條件時,計算結果顯示其反射率分佈型態與規則波情況有所不同,於主共振區之反射率雖不如規則波為大,但反射率帶寬則較規則波為寬。最後針對布拉格反射之影響因素,包括沙漣個數、沙漣高度及沙漣間距等,以本文模式進行一系列的數值模擬及分析探討。 |
英文摘要 | A numerical model based on the second fully nonlinear Boussinesq equations of Wei et al. (1995) is applied to simulate the Bragg reflection of monochromatic and random waves due to artificial sand bars, for which experimental data have been presented by Davies and Heathershaw (1984) and Kirby and Anton (1990). The numerical results are compared with the theoretical solutions of Miles (1981) and the corresponding results using the evolution equation for mild slope equation of Hsu et al. (2003). For the monochromatic wave, the Boussinesq model can predict the reflection coefficients of the primary and second-harmonic resonance well. For the random waves, the reflection coefficients of the primary resonance are smaller and the reflection bandwidth is wider than the monochromatic wave, so the Bragg reflection of random waves is different from that of the monochromatic wave. In addition, the Boussinesq model is applied to study the affecting factors of the Bragg reflection, including the number, the height and the spacing of artificial sand bars. |
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