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題名 | Numerical Studies of Bathymetry Effects on Waves Deformation Using Shallow Water Equation=利用淺水方程式研究地形對波浪變形之影響 |
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作者 | 吳威均; 梁興杰; 陳盈智; 鄭益廷; | 書刊名 | 海洋工程學刊 |
卷期 | 11:2 2011.12[民100.12] |
頁次 | 頁171-186 |
分類號 | 443.1 |
關鍵詞 | 淺水方程式; 空間時間最小平方有限元素法; 非線性; 高頻產生; Shollow water equation; Space-time least-squares finite-element method; Nonlinearity; Harmonics generation; |
語文 | 英文(English) |
中文摘要 | 本文利用空間時間最小平方有限元素法求解淺水波方程式,並模擬非線性長波之傳播。我們利用規則長波在淺水條件下之斜坡渠道傳遞,驗證此模式之準確性,計算結果與解析解十分吻合。接著模擬規則長波在淺水條件下之階梯渠道傳遞,探討地形對波浪變形之影響。計算結果重現波浪演變之明顯特徵,如淺化、反射與波分解。頻譜分析顯示,當階梯高度變大時,非線性效應明顯,且高頻產生。 |
英文摘要 | A space-time least-squares finite-element method is developed to solve the shollow water equation (SWE) which models the nonlinear long waves propagation. We use a regular propagating long wave in a constant slope bottom channel to verify accuracy of the model. Computed results agreed well with the exact solution. We then model a regular propagating long wave in a stepped bottom channel to demonstrate the bathymetry effects on wave deformations. Computed results show salient features of wave evolution, such as shoaling, wave reflection and decomposition. Spectrum analysis shows when the height of the step increases, the nonlinearity becomes significant, and high harmonics are generated. |
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