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題名 | 迴水影響下渠道中淺水波傳播之線性解析 |
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作者 | 許銘熙; | 書刊名 | 農業工程學報 |
卷期 | 35:1 1989.03[民78.03] |
頁次 | 頁70-87 |
分類號 | 443.042 |
關鍵詞 | 淺水波; 渠道; 傳播; 線性; |
語文 | 中文(Chinese) |
中文摘要 | 本文基於微小振幅擾動之嚴設,推導一線性零慣性解析模式,以分析渠道中水流之傳播現象。文中利用拉普拉斯轉換、馬林逆轉換理論以及複數積分之殘值定理等數學方法,以求解渠道中水深之變化情況。在上、下游端,以單峰餘弦水深歷線與三角水深歷線為例,輸入線性解析模式中求得解析解,並且與線性隱式中央差分法數值解作比較。除尸あ利用普里斯曼非線性零慣性數值模式,以比較及探討解析解過程中線性假設之限制及適用性。 |
英文摘要 | Based on the assumption of small amplitude disturbance, a linear analytical zero-inertia model was developed to analyse the wave propagation in open channels. In the analytical model, Laplace transformation, Mellin inverse theorem and complex integration by method of residuals were employed. The single sinusoidal hydrographs and triangular hydrographs are imposed at upstream and downstream ends so as to analyse the wave propagation using the analytical model. In addition, numerical solutions of the linear implicit central difference scheme were simulated and compared wit the analytical solutions. Preissmann nonlinear zero-inertia model was then applied to compare and investigate availability and restriction of the analytical model due to the assumption of small disturbance. |
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