{"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":null,"pages":null},"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\":null,\"pages\":null},\"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}
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.
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.