There are indisputable research supporting scientific argument that propagation of (tsunami) wave from intermediate depth towards shallower coastal area needs dispersive wave model. For tsunami wave simulation, efficiency of the numerical scheme is an important issue. In this paper, the two-layer non-hydrostatic model as developed previously in Pudjaprasetya et al. [2017] “A non-hydrostatic two-layer staggered scheme for transient waves due to anti-symmetric seabed thrust,” J. Earthquake Tsunami 11, 1–17, to study tsunami generation and propagation, is adopted. Restricting to 1+1 dimension, here, we focus on the performance of the scheme in simulating wave propagation in coastal areas, in particular predicting the run-up height. First, we conducted a simulation of harmonic wave over a sloping beach to conform the analytical shoreline motion by Carrier and Greenspan [1958] “Water waves of finite amplitude on a sloping beach,” J. Fluid Mech. 4, 97–109. The ability of the scheme in accommodating dispersion and non-linearity were shown via simulation of a solitary wave that propagates over a flat bottom. This solitary wave simulation provides an evaluation of the convergence aspect of the model. Further, several benchmark tests were conducted; a solitary wave over a sloping beach to mimic the experimental data by Synolakis [1986] “The run-up of solitary waves,” J. Fluid Mech. 185, 523–545, as well as solitary wave over a composite beach. Good agreement with laboratory data was obtained in terms of wave signal, whereas for relatively low amplitude, the solitary run-up height conforms the analytical formula. Moreover, the scheme is tested for simulating the Beji–Battjes experiment Beji, S. and Battjes, J. A. [1993] “Experimental investigation of wave propagation over a bar,” Coast. Eng. 19, 151–162. As well as wave focusing experiment by Kurnia et al. [2015] “Simulations for design and reconstruction of breaking waves in a wavetank,” Proc. ASME 2015 34th Int. Conf. Ocean, Offshore and Arctic Engineering, Newfoundland, Canada, 31 May–5 June 2015, pp. 2–7.

中文翻译：

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波浪助推模拟的两层非静压方案

有无可争辩的研究支持科学论点，即（海啸）波从中深度向较浅沿海地区的传播需要色散波模型。对于海啸波模拟，数值方案的效率是一个重要问题。在本文中，之前在 Pudjaprasetya 等人开发的两层非静水模型。[2017] “A non-hydrostatic two-layer staggered scheme for transient waves due to anti-symmetric seabed推力”，J. Earthquake Tsunami 11, 1-17，用于研究海啸的产生和传播，被采用。限于 1+1 维度，在这里，我们关注该方案在模拟沿海地区波浪传播的性能，特别是预测助推高度。第一的，我们在倾斜的海滩上进行了谐波模拟，以符合 Carrier 和 Greenspan [1958] “倾斜海滩上有限振幅的水波”的分析海岸线运动，J. Fluid Mech。4, 97–109。该方案在适应色散和非线性方面的能力通过对在平底上传播的孤立波的模拟来展示。这种孤立波模拟提供了对模型收敛方面的评估。此外，还进行了几项基准测试；倾斜海滩上的孤浪模仿 Synolakis [1986] 的实验数据，“孤浪的启动”，J. Fluid Mech。185, 523–545，以及复合海滩上的孤立波浪。在波信号方面获得了与实验室数据的良好一致性，而对于相对较低的幅度，单独助跑高度符合解析公式。此外，该方案已针对模拟 Beji–Battjes 实验进行了测试，Beji, S. 和 Battjes, JA [1993] “对杆上波传播的实验研究”，Coast。英。19, 151–162。以及 Kurnia 等人的波聚焦实验。[2015] “波槽中破波设计和重建的模拟”，Proc。ASME 2015 第 34 届国际标准。会议。海洋、近海和北极工程，加拿大纽芬兰，2015 年 5 月 31 日至 6 月 5 日，第 2-7 页。[2015] “波槽中破波设计和重建的模拟”，Proc。ASME 2015 第 34 届国际标准。会议。海洋、近海和北极工程，加拿大纽芬兰，2015 年 5 月 31 日至 6 月 5 日，第 2-7 页。[2015] “波槽中破波设计和重建的模拟”，Proc。ASME 2015 第 34 届国际标准。会议。海洋、近海和北极工程，加拿大纽芬兰，2015 年 5 月 31 日至 6 月 5 日，第 2-7 页。