在方向造波的問題研究上，鑒於實際造波機的造波板間為不連續運動邊界與理論解析之造波邊界為連續運動函數並不相符，因此本研究以邊界元素法(BEM)求解等水深平面水池中方向造波之問題。將問題的求解分成進行波與振盪波，進行波使用Helmholtz方程式基本解而振盪波使用Modified Helmholtz 方程式之基本解，在根據所使用基本解已經滿足各邊界條件，其中條件中包含造波板的不連續運動邊界條件，配合元素的概念聯立計算求解。在數值模式的驗證上，本研究以連續函數之造波邊界與理1論解析的結果於方向造波gain function比較結果良好。考慮造波板單元的寬度影響，本研究結果顯示隨造波板寬度變寬，數值計算結果與造波版為連續運動函數的理論解析產生差異。其中在短週期波中，造波板單元的寬度對振盪波的影響不大，以本研究的數值計算結果顯示在造波板單元的寬度小於0.5m時，數值計算與理論解析的結果顯示趨於一致。

In past works on the directional wave generation, the discontinuous boundary caused by the wavemaker units was not consistence with the continuous boundary of analytic solution. Therefore, the Boundary Element Method had been utilized to solve the problem of directional wave generation in a plane wave basin. The solutions were considered as two parts, propagating wave and evanescent wave. The propagating wave was derived from fundamental solution of Helmholtz equation and the evanescent wave was derived from fundamental solution of Modified Helmholtz equation. Also, both fundamental solutions were satisfied all boundary conditions which included the discontinuous boundary condition of the wavemaker units. Then, we combined concepts mentioned above to solve multi-function problems. From the validation of numerical simulation, the results of the continuous boundary function are consistence with analytic solution theory on gain function. Besides, considering the effect from the width of wavemaker units, it reveals that the numerical simulation of continuous boundary has differences from analytic solution theory by increasing the width of boards. In short period case, it shows that there is no apparent effect to the evanescent wave by adjusting the width of board-units. The results also show that the numerical simulation is consistence with analytic solution theory while the width of board-units is less than 0.5m.

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