迄今孤立波在平直渠道運行的特性均已被廣泛的研究並獲得許多顯著成果，包含推廣至不同斷面形狀或緩變底床坡度的情形。相對地，孤立波通過彎曲渠道的研究較少探討。為了發展可解析任意角度入射的二維長波模式，本文以數值求解一般化(generalized) Boussinesq (簡稱gB)方程組，並評估適當的邊界條件。應用此模式模擬孤立波通過一直角彎曲渠道時發現：由於傳遞方向與彎曲段斷面的改變，以及尖銳轉角處之繞射現象，波傳與反透射的影響可被適當解析。在反射、透射過程中，比較波形、波高、體積與能量的演變，可發覺彎道上下游的寬度影響內外側壁面波形遲滯時間。當波形通過尖銳內側轉角點，流況產生劇烈變化，加上反射波的互制作用，因此在內側轉角點附近會有波形震盪的情形。數值分析的誤差也因頻散而加劇，將數值模擬結果因不同內側轉角點條件而產生不同程度之差異。本文亦據此分別討論與評估各種條件之適切性。
計算結果可知，當孤立波在寬渠道中傳遞，由於透射波會先繞過內側轉角點，波高分佈將形成弧形曲面分佈。寬度越大，則透射波恢復一維性所需的時間越久。當下游區寬度變窄，透射波波形可維持良好一維性。當下游渠道寬度變寬時，透射波在達到最大溯上波高時以弧形曲面分佈的情形與通過寬渠道的情況相近。

Until now the characteristics of solitary wave propagating in a straight channel with uniform water depth have been studied extensively and a lot of remarkable achievements have been obtained, including those extended to a channel with arbitrary cross section or with mild bottom slope. On the other hand, the studies on solitary waves propagating in a curved channel are less discussed.
To develop a two-dimensional long-wave model capable to analyze a solitary wave motion with an arbitrary incident angle, this thesis intended to solve the generalized Boussinesq (briefly, gB) equations numerically and assessed the numerical result by examining various boundary conditions. When using this model to simulate a solitary wave propagating through a right-angled channel, one found that the effects of changes in converting direction and transition width on the wave transmission, reflection and diffraction around a sharp internal corner could be reasonably analyzed. During the interaction near the corner, the channel width variation at the turning end presents different phase delays on the waveform across the internal and external walls after one compared with the evolved waveform, amplitude and kinetic energy. The induced flow varied greatly as the wave passed by the internal corner. Furthermore, the interaction with the reflected wave enhances the dispersive wave pattern there. Numerical error also pollutes the simulated result at different degrees as various corner conditions are used. This analysis suggests us on which condition would be most reasonable to be employed in the model.

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