本文在發展一個波浪通過潛式透水結構物的三維模式，使用邊界元素法同時用來描述在結構物外部波浪場和透水結構物內部的波浪場。透水結構外部使用微小振幅波來描述波浪場，而透水結構內部則引用Sollitt and Cross（1972）的擬勢能流理論來描述透水結構物內部的波浪場。本研究在把波浪模式和透水結構物模式聯合在一起成為波浪通過潛式透水結構物的三維模式。在數值計算上則發展一個輔助的元素自動產生程式以方便數值計算使用。本研究提出的數值模式首先以不透水的條件來做驗證，然後再研究波浪通過透水潛堤之三維效應。
由研究結果顯示本研究能夠重現波浪通過不透水結構物的結果。至於波浪通過透水潛堤之計算結果和二維的結果比較，顯示三維的結果具有繞射的效應在延中心線有聚焦的現象。因為所考慮的結構物是潛式型態因此入射波有一部份是透過一部份是反射，對於透過波而言由於潛式結構物的效應波浪在結構物後方有聚焦的現象。由本研究成果波浪通過潛式透水結構物的三維波浪場可具體的表現出來，

In this paper a three-dimensional model of waves passing submerged porous structures is presented. The boundary element method is used to describe flows in the porous structure and waves passing above the structure. Linear wave theory is used to describe wave fields, and the theory of waves in the porous structures proposed by Sollitt and Cross (1972) is used for the porous structures. The present effort is emphasized on the combination of a wave model and a porous model in three-dimensional problems. In numerical calculation simple grid generation program is also developed to facilitate the computation efforts. The numerical model is first verified by the cases of waves passing impermeable structures. Then the model is used to study three-dimensional effects of submerged porous structures on passing waves. Wave profiles along the centerline of the structure in the wave field are used as comparisons to two-dimensional cases. The results show that the present model can duplicate the cases of waves passing submerged impermeable structures. For the cases of submerged porous structures, the results show that in comparison with the two-dimensional problem there exist diffraction effects due to the submerged structures. Since the structures are submerged the incident waves are transmitted over the structure while waves are partially reflected. Due to the submerged structures the transmitted waves are focusing behind the center of the structures. Three-dimensional wave patterns are presented, and characteristics of transmitted waves are also investigated.

摘要i
英文摘要ii
誌謝iii
目錄iv
圖目錄v
符號說明viii
第一章 緒論1
1-1 研究動機1
1-2 文獻回顧2
1-3 研究方法與內容組織4
第二章 問題的描述6
2-1 邊界值問題6
第三章 邊界元素法模式10
3-1 三維邊界元素法10
3-2 波浪通過透水潛堤BEM模式12
3-3 網格建立方法 15
第四章 結果與討論17
4-1 模式之驗證17
4-2 結構物透水特性對於波浪之影響18
4-2-1 摩擦係數對於波浪響18
4-2-2 孔隙率對於波浪之響20
4-3 入射波對於波浪之影響21
4-4 二維與三維模式之比較22
第五章 結論與建議24
參考文獻55

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