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題 名 | The Study of Linear Properties of High-order Optimal Boussinesq-type Equations for Waves Propagation=最佳化高階布氏方程式之線性特徵研究 |
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作 者 | 孔慶華; 劉啟民; | 書刊名 | 海洋工程學刊 |
卷 期 | 2:1 2002.07[民91.07] |
頁 次 | 頁1-14 |
分類號 | 443.1 |
關鍵詞 | 布氏方程式; 分散性質; 線性運動性質; 最佳化方程式; Boussinesq-type equations; Dispersion properties; Linear kinematic properties; Optimal wave model; |
語 文 | 英文(English) |
中文摘要 | A complete study of all linear properties of the high-order Boussinesq-type equations is presented. Our main goal in present study is to make the Boussinesq-type model applicable to a wider range of water depths. First, the wave equations accurate to are derived in terms of the free surface displacement and the velocity potential at an arbitrary elevation. Next, an error function composed of two dispersion characteristics and three linear kinematic properties is introduced to determine the optimal wave equations. In deep water, the present optimal model can make most wave properties, specially the particle trajectory, more exact than not only the existing models but also the two-variable model (GKW model) derived by Gobbi et al. (2000). |
英文摘要 | 本文旨在探討高階最佳化之布氏方程式的線性特性。當此最佳化長波方程式發展完成後,其適用範圍將擴展至更寬廣的水域。當精度至的布氏方程式推導完畢後,利用五種線性條件可以決定一最佳化之長波方程式。在深水區內,本文所推導的布氏方程式不但將比精度 的方程式準確許多,更比Gobbi et al. (2000) 所推導的四階長波方程式更準確。 |
本系統中英文摘要資訊取自各篇刊載內容。