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
{"title":"论 Miyata-Choi-Camassa 模型在表面波中的应用","authors":"Tianyu Zhang, Zhan Wang, Binbin Zhao, Masoud Hayatdavoodi, R. Cengiz Ertekin, Wenyang Duan","doi":"10.1007/s10236-024-01630-x","DOIUrl":null,"url":null,"abstract":"<p>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 (<span>\\(\\varvec{h}_{\\varvec{1}}/\\varvec{h}_{\\varvec{2}}=\\varvec{1}/\\varvec{9}\\)</span>, <span>\\(\\varvec{3}/\\varvec{7}\\)</span> and <span>\\(\\varvec{5}/\\varvec{5}\\)</span>, where <span>\\(\\varvec{h}_{\\varvec{1}}\\)</span> and <span>\\(\\varvec{h}_{\\varvec{2}}\\)</span> are the depths of the upper- and lower-fluid layers, respectively), we determine that the MCC-FS model with the depth ratio <span>\\(\\varvec{3}/\\varvec{7}\\)</span> 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.</p>","PeriodicalId":19387,"journal":{"name":"Ocean Dynamics","volume":"27 1","pages":""},"PeriodicalIF":2.2000,"publicationDate":"2024-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the application of Miyata-Choi-Camassa model to surface waves\",\"authors\":\"Tianyu Zhang, Zhan Wang, Binbin Zhao, Masoud Hayatdavoodi, R. Cengiz Ertekin, Wenyang Duan\",\"doi\":\"10.1007/s10236-024-01630-x\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>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 (<span>\\\\(\\\\varvec{h}_{\\\\varvec{1}}/\\\\varvec{h}_{\\\\varvec{2}}=\\\\varvec{1}/\\\\varvec{9}\\\\)</span>, <span>\\\\(\\\\varvec{3}/\\\\varvec{7}\\\\)</span> and <span>\\\\(\\\\varvec{5}/\\\\varvec{5}\\\\)</span>, where <span>\\\\(\\\\varvec{h}_{\\\\varvec{1}}\\\\)</span> and <span>\\\\(\\\\varvec{h}_{\\\\varvec{2}}\\\\)</span> are the depths of the upper- and lower-fluid layers, respectively), we determine that the MCC-FS model with the depth ratio <span>\\\\(\\\\varvec{3}/\\\\varvec{7}\\\\)</span> 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.</p>\",\"PeriodicalId\":19387,\"journal\":{\"name\":\"Ocean Dynamics\",\"volume\":\"27 1\",\"pages\":\"\"},\"PeriodicalIF\":2.2000,\"publicationDate\":\"2024-07-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Ocean Dynamics\",\"FirstCategoryId\":\"89\",\"ListUrlMain\":\"https://doi.org/10.1007/s10236-024-01630-x\",\"RegionNum\":3,\"RegionCategory\":\"地球科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"OCEANOGRAPHY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Ocean Dynamics","FirstCategoryId":"89","ListUrlMain":"https://doi.org/10.1007/s10236-024-01630-x","RegionNum":3,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"OCEANOGRAPHY","Score":null,"Total":0}
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.

求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
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.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信