本研究利用演進型緩坡方程式(evolution equation for mild-slope equation，EEMSE )之數值模式結合線性長波方程式(linear shallow-water wave equations)之耦合方程式以模擬波浪碎波後於岸上之溯升現象。本研究藉由Mase等人(1984) 及Hsu等人(2012) 的溯升實驗數據進行分析，利用反向推估法推求出溯升模式要輸入的波高值與外海入射波高值兩者間的迴歸公式，以利於模式使用。
本文應用模式模擬一維和二維均勻斜坡地形，並將模式的計算結果與原來未考慮溯升的演進型緩坡方程式比較兩者間的差異性。本文在波浪條件不變的情況下，模擬底床坡度1/3、1/4、1/5、1/10、1/20及1/30的波浪溯升，由結果發現在相同的波浪條件下，隨著底床坡度趨緩，溯升高度就越低。本文進一步以大鵬灣實際現場地形進行模擬，由計算結果可得知波浪由外海向近岸傳遞，於岸上溯升的所有區域範圍。

A numerical model was developed for simulating wave run-up after wave breaking over a sloping beach. This model is decoupled by the wave model of EEMSE (evolution equation for mild-slope equation) as well as the wave run-up model of LSWWE (linear shallow-water wave equations). Experimental data of Mase et al. (1984) and Hsu et al. (2012) were used to perform the regression analysis. The result lead to a regression formula which was applied as the input wave conditions for the prediction of wave run-up as LSWWE was used.
The model was applied to simulate wave run-up for the cases of wave propagation are 1D sloping beach and 2D planar beach. Numerical results showed that the present model is capable of describing the dynamic process of wave run-up. It is found that the wave run-up increases with the decrease of beach slope. A case study was successfully performed at Dapengwan for practical applications.

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