本文主要是以有限差分法所建立之二維數值計算模式水槽，分析在造波板的運動下，浮式水槽受波浪作用後的動態反應，並假設水槽內外流場皆為黏性之不可壓縮流且無碎波的現象。探討浮式水槽受波浪作用後，浮槽內流體之非線性擺盪、動態水壓力與水槽在水平與垂直雙自由度運動下之互制行為，並藉由計算浮式水槽之各項能量，了解其互制行為與能量傳遞的相關性。

In the present study, a two-dimensional numerical model based on a time-independent finite difference method was developed and the model is used to analysis the dynamic interaction among wave, sloshing fluid in tank and the floating tank. The free surface of wave and sloshing fluid in the tank are all assumed to be a single value function and the wave breaking is, therefore, not considered in the study.
The numerical model is firstly validated by some bench make studies. Extensive simulation were made to discuss the effects of geometry of the floating tank, the ratio of depth to breadth of fluid in tank, the fundamental freq of floating tank – structure system etc.

論文口試委員審定書
誌謝 ……………………………………………………………………Ⅰ
中文摘要 ………………………………………………………………Ⅱ
英文摘要 ………………………………………………………………Ⅲ
目錄 ……………………………………………………………………Ⅳ
圖目錄 …………………………………………………………………Ⅵ
符號說明 ………………………………………………………………XI
第一章 概論
1.1 前言………………………………………………………………1-1
1.2 文獻回顧…………………………………………………………1-2
1.3 研究目的…………………………………………………………1-4
第二章 計算流場數學模式
2.1 基本假設…………………………………………………………2-1
2.2 問題描述…………………………………………………………2-2
2.3 控制方程式………………………………………………………2-3
2.4 邊界條件…………………………………………………………2-4
2.4.1 造波板邊界條件………………………………………………2-4
2.4.2 自由液面邊界條件( Dirichlet B.C. )………………………2-5
2.4.3 底床邊界條件…………………………………………………2-6
2.4.4 下游邊界條件…………………………………………………2-6
2.4.5 結構物邊界條件………………………………………………2-7
2.4.6 不同計算區塊交界邊界條件…………………………………2-8
2.5 座標轉換…………………………………………………………2-8
2.6 無因次化控制方程式 …………………………………………2-12
第三章 有限差分數值計算模式
3.1 控制方程之離散化………………………………………………3-1
3.2 數值水槽計算流程………………………………………………3-6
3.3 穩定分析…………………………………………………………3-8
第四章 浮式水槽（Floating Tank System）之運動分析
4.1 理論分析方法……………………………………………………4-1
4.2 Runge-Kutta法 …………………………………………………4-4
4.3 求解動態系統之數值方法驗證…………………………………4-7
第五章 結果與討論
5.1 模式驗證…………………………………………………………5-1
5.1.1 網格與時距大小之選擇………………………………………5-1
5.1.2 數值水槽模式驗證……………………………………………5-4
5.2 浮式水槽消波能力之討論………………………………………5-7
5.2.1 浮式水槽運動影響分析………………………………………5-7
5.2.2 浮式水槽內部水深影響分析 ………………………………5-10
5.3 浮式水槽能量守恆之討論 ……………………………………5-17
5.3.1 彈性係數對浮槽運動影響分析 ……………………………5-20
5.4 波浪能量傳遞轉換之討論 ……………………………………5-24
5.4.1 浮式水槽內部水深對能量影響分析 ………………………5-26
5.4.2 彈性係數對能量影響分析 …………………………………5-32
第六章 結論與建議
6.1 結論………………………………………………………………6-1
6.2 建議………………………………………………………………6-2
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