本文以光滑粒子流體動力學法( Smoothed Particle Hydrodynamics, SPH)，建立孤立波之數值模式。SPH法為基於Lagrangian描述流場座標的無網格粒子法，文中章首先對SPH所依據的理論方法及求解方式做一整體性介紹，並針對模式中使用之數值方法進行說明。在本文計算案例中，將探討起始條件的適用性，並驗証波形之正確性，隨後本文模式將模擬孤立波於等深渠道中移動，並碰撞直立壁後向上溯升之流場運動。計算結果顯示當波高水深比(A0/d > 0.3)時，由於非線性效應較強，孤立波於直立壁之溯升高之數值結果將比理論解為高，並與實驗結果吻合。
最後利用本文模式計算孤立波通過1:20之斜坡式海堤，文中將模擬孤立波在未碎波的情形下，以不同波高水深比的條件通過海堤時之流場。計算結果顯示，不同之入射孤立波越過海堤時，將於堤後形成一射流水舌，或是以緊貼堤面流動的方式通過堤頂流向堤後。

This paper presents a Smoothed Particle Hydrodynamics (SPH) method which is used to simulate the solitary wave mechanics. The SPH method is a Lagrangian description of flow field coordinates and mesh free approach. First of all, this article introduces the method of SPH theory and explains the modeling application. In the present case, the validation of initial condition and the wave profile have been verified, and then present model is used to simulate a solitary wave moving over a uniform depth and running up a vertical wall. The result shows that when the ratio between wave height and water depth over 0.3(A0/d > 0.3), the numerical solution of solitary run-up will higher due to strong nonlinear effect. The result agrees well with the experiment.
Finally, present model is employed to simulate a solitary wave through a 1:20 sloping seawall. The case of solitary wave which is non-breaking passes sloping seawall in different wave conditions. The computing results show that when different solitary passing through seawall, the form of wave flow will change into a jet flow or flow through the seawall along the dike surface.

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