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題名 | Boussinesq-Type Equations for Water Wave Propagation in Porous Media=非線性波浪於孔隙材質中傳播之布氏方程式研究 |
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作者 | 胡凱程; 蕭士俊; 黃煌煇; | 書刊名 | 海洋工程學刊 |
卷期 | 9:1 2009.06[民98.06] |
頁次 | 頁1-23 |
分類號 | 443.1 |
關鍵詞 | 水深積分方程式; 孔隙材質; 衰減率; Depth-integrated equation; Porous media; Damping rate; |
語文 | 英文(English) |
中文摘要 | 本文推導出適合於描述波浪在孔隙結構內傳遞之二維水深積分模式。模式所採用的主要概念源自Hsiao et al. (2002),爲了有效模擬於孔隙層內的阻力效應,本文採用Sollitt and Cross (1972)所發表包含線性與非線性部分的人造阻力模式,並配合Chen (2006)所提出用於消去垂直座標相關項的技巧,使得本模式可以適用於水深較大的波浪條件。本文首先針對本模式與Liu and Wen (1997)所提出的理論做基本性質之分析與探討,藉以瞭解可用的波浪條件與適當孔隙材質。由兩者之比較結果來看,在適當的條件下兩模式的結果非常吻合,足以證明本文數值模式之可信度。 |
英文摘要 | A new set of Boussinesq-type model equations based on the perturbation method similar to Hsiao et al. (2002) is derived for describing water waves propagating in porous media. The resistance forces including the linear/nonlinear drag force and the turbulence effect suggested by Sollitt and Cross (1972) are incorporated. The approach by Chen (2006) to eliminate the depth-dependent terms in momentum equation is adopted. The applicable range of water depths of new model equations is examined by comparing with the linear wave theory. Furthermore, the nonlinear properties of model equations are also numerically validated against the weakly nonlinear theory of Liu and Wen (1997). Fairly good agreements are achieved, suggesting that the present model equations can be applied to the simulation of nonlinear wave propagation in a porous structure. |
本系統之摘要資訊系依該期刊論文摘要之資訊為主。