论 Miyata-Choi-Camassa 模型在表面波中的应用

IF 2.2 3区 地球科学 Q2 OCEANOGRAPHY
Tianyu Zhang, Zhan Wang, Binbin Zhao, Masoud Hayatdavoodi, R. Cengiz Ertekin, Wenyang Duan
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引用次数: 0

摘要

强非线性 Miyata-Choi-Camassa 模型是一种包含自由表面效应的双层内波模型(MCC-FS 模型),在模拟大振幅内波方面表现出色。在本研究中,我们希望评估 MCC-FS 模型是否可用于研究涉及表面波的问题,以及该模型的性能如何。为此,我们将双层 MCC-FS 模型应用于时变底部,通过设置相同的上层和下层流体密度来模拟表面水波。虽然上下层流体密度相同,但两层流体的深度比在解算中起着重要作用。通过分析三种不同深度比(\(\varvec{h}_{\varvec{1}}/\varvec{h}_{\varvec{2}}=\varvec{1}/\varvec{9}\)的 MCC-FS 模型的线性弥散关系、其中 \(\varvec{h}_{/varvec{1}}\)和 \(\varvec{h}_{/varvec{2}}\)分别为上层和下层流体的深度),我们确定深度比为 \(\varvec{3}//varvec{7}\)的 MCC-FS 模型在模拟地表水波方面具有更好的性能。在这种配置下,我们应用 MCC-FS 模型模拟了平底上的水面孤波、在水下陆架上传播的孤波以及由底部扰动产生的水面波。通过与实验室测量结果进行比较,我们验证了 MCC-FS 模型所提供结果的准确性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

On the application of Miyata-Choi-Camassa model to surface waves

On the application of Miyata-Choi-Camassa model to surface waves

The strongly nonlinear Miyata-Choi-Camassa model, a two-layer internal-wave model that includes the free-surface effect (MCC-FS model), has shown excellent performance on simulating large-amplitude internal waves. In this study, we are interested in assessing whether the MCC-FS model can be applied to study problems involving surface waves, and how the model performs. For this purpose, we apply the two-layer MCC-FS model to a time-varying bottom to simulate surface water-waves by setting the same densities of the upper- and lower-fluid layers. Although densities of the upper and lower fluid layers are the same, it is found that the depth ratio of the two layers plays a remarkable role in the solution. By analyzing the linear dispersion relations of the MCC-FS model with three different depth ratios (\(\varvec{h}_{\varvec{1}}/\varvec{h}_{\varvec{2}}=\varvec{1}/\varvec{9}\), \(\varvec{3}/\varvec{7}\) and \(\varvec{5}/\varvec{5}\), where \(\varvec{h}_{\varvec{1}}\) and \(\varvec{h}_{\varvec{2}}\) are the depths of the upper- and lower-fluid layers, respectively), we determine that the MCC-FS model with the depth ratio \(\varvec{3}/\varvec{7}\) has the better performance on simulating surface water-waves. Under this configuration, we apply the MCC-FS model to simulate the surface solitary waves on a flat bottom, the solitary wave propagating over a submerged shelf and the surface water-waves generated by a bottom disturbance. By comparing with the laboratory measurements, the accuracy of the results provided by the MCC-FS model is validated.

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来源期刊
Ocean Dynamics
Ocean Dynamics 地学-海洋学
CiteScore
5.40
自引率
0.00%
发文量
37
审稿时长
6-12 weeks
期刊介绍: Ocean Dynamics is an international journal that aims to publish high-quality peer-reviewed articles in the following areas of research: Theoretical oceanography (new theoretical concepts that further system understanding with a strong view to applicability for operational or monitoring purposes); Computational oceanography (all aspects of ocean modeling and data analysis); Observational oceanography (new techniques or systematic approaches in measuring oceanic variables, including all aspects of monitoring the state of the ocean); Articles with an interdisciplinary character that encompass research in the fields of biological, chemical and physical oceanography are especially encouraged.
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