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Generating stable solitary waves with a piston-type wavemaker
Coastal Engineering ( IF 4.2 ) Pub Date : 2020-04-01 , DOI: 10.1016/j.coastaleng.2020.103633
Vivek Francis , Balaji Ramakrishnan , Murray Rudman , Alireza Valizadeh

Abstract The generation of stable and pure solitary waves in large-scale experimental flumes and numerical models is the focus of this study. Such waves give a better description of the target wave amplitude, has minimal amplitude dissipation during propagation and has negligible trailing waves. In the present study, the two solitary wave generation methodologies, namely, Goring's Method (GM) and the Malek-Mohammadi and Testik Method (MMTM), described in Goring (1979) and Malek-Mohammadi and Testik (2010) respectively, have been used to examine the solitary wave solutions of Boussinesq, Rayleigh, Grimshaw and Fenton, both experimentally and numerically for three different relative wave height (e), ratios of 0.1, 0.3 and 0.6. Numerical modeling is done within a Smoothed Particle Hydrodynamics (SPH) framework developed in Valizadeh and Rudman (2017). For each e value, we have compared the experimental and numerical results in terms of the free surface profiles and the phase speeds to give recommendations for the solitary wave solution and the generation methodology that demonstrates the best performance. Our results indicate that the Rayleigh solitary wave solution gives more accurate profiles in both experiments and numerical simulations. With respect to wave generation methodology, the MMTM gives the best results in the experiments, whereas, the GM describes the target waves better in our numerical SPH simulations.

中文翻译:

用活塞式造波器产生稳定的孤立波

摘要 在大尺度实验水槽和数值模型中产生稳定纯净的孤立波是本研究的重点。这样的波可以更好地描述目标波的振幅,在传播过程中具有最小的振幅耗散并且具有可以忽略的拖尾波。在本研究中,分别在 Goring (1979) 和 Malek-Mohammadi and Testik (2010) 中描述的两种孤立波生成方法,即戈林方法 (GM) 和 Malek-Mohammadi 和 Testik 方法 (MMTM),已经用于检查 Boussinesq、Rayleigh、Grimshaw 和 Fenton 的孤立波解,对于三种不同的相对波高 (e),比率分别为 0.1、0.3 和 0.6,在实验和数值上都是如此。数值建模是在 Valizadeh 和 Rudman (2017) 开发的平滑粒子流体动力学 (SPH) 框架内完成的。对于每个 e 值,我们在自由表面轮廓和相位速度方面比较了实验和数值结果,以提供对孤立波解决方案和展示最佳性能的生成方法的建议。我们的结果表明,瑞利孤立波解在实验和数值模拟中都提供了更准确的轮廓。关于波浪生成方法,MMTM 在实验中给出了最好的结果,而 GM 在我们的数值 SPH 模拟中更好地描述了目标波浪。我们在自由表面轮廓和相位速度方面比较了实验和数值结果,以提供有关孤立波解决方案和展示最佳性能的生成方法的建议。我们的结果表明,瑞利孤立波解在实验和数值模拟中都提供了更准确的轮廓。关于波浪生成方法,MMTM 在实验中给出了最好的结果,而 GM 在我们的数值 SPH 模拟中更好地描述了目标波浪。我们在自由表面轮廓和相位速度方面比较了实验和数值结果,以提供有关孤立波解决方案和展示最佳性能的生成方法的建议。我们的结果表明,瑞利孤立波解在实验和数值模拟中都提供了更准确的轮廓。关于波浪生成方法,MMTM 在实验中给出了最好的结果,而 GM 在我们的数值 SPH 模拟中更好地描述了目标波浪。
更新日期:2020-04-01
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