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題名 | 數值波浪水槽中Cn波之產生及其傳遞特性之研究=Generation and Propagation of Cnoidal Waves in a Numerical Wave Tank |
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作者 | 董志明; 黃惠欽; 黃清哲; | 書刊名 | 海洋工程學刊 |
卷期 | 5:1 民94.10 |
頁次 | 頁13-30 |
分類號 | 443.1 |
關鍵詞 | 橢圓餘弦波; 數值水槽; 波列傳遞; 不穩定; Cnoidal wave; Numerical wave tank; Wave propagation; Instability; |
語文 | 中文(Chinese) |
中文摘要 | 本文討論如何以Goring and Raichlen (1980)的造波理論為數值造波邊界條件,求解Navier-Stokes方程及完整的自由液面邊界條件,於二維數值黏性造波水槽中產生橢圓餘弦波(Cnoidal waves,Cn波),並探討此橢圓餘弦波其傳遞特性。數值黏性造波水槽所得橢圓餘弦波的水位及流體質點速度與理論解比較皆相當吻合。數值結果顯示當波浪Ur數較小時,於傳遞過程中會於波列前緣形成包絡孤波(envelope soliton)的現象;而當Ur數較大時,由於黏性的作用,隨著波列之傳遞其波高會明顯衰減。 |
英文摘要 | This study investigates the generation and propagation of cnoidal waves in a numerical viscous wave tank. Goring and Raichlen’s theory (1980) was applied to determine the wavemaker motion for generating cnoidal waves. The 2-d unsteady Navier-Stokes equations, the exact free surface boundary conditions and the upstream boundary condition at the wavemaker were then solved numerically to produce the cnoidal waves in the wave tank. The accuracy of the numerical scheme was verified by comparing the numerical results of the wave profiles and the associated fluid velocities with the theoretical solutions. The numerical results showed that as the waves with smaller Ursell number propagate in the tank, an envelope soliton was formed at the front of the wave trains. However, the waves with larger Ursell number attenuate in the propagation due to the bottom friction. |
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