Numerical Investigation of Three-Dimensional Shallow-Water Sloshing Based on High Accuracy Boussinesq Equations
Highly accurate Boussinesq-type equations in terms of velocity potential are used for the simulation of shallow-water sloshing in a three-dimensional tank under the framework of the potential flow theory. The total velocity potential is separated into two parts: one part is a particular solution whi...
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| Format: | Article |
| Language: | zho |
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Editorial Office of Journal of Shanghai Jiao Tong University
2021-05-01
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| Series: | Shanghai Jiaotong Daxue xuebao |
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| Online Access: | http://xuebao.sjtu.edu.cn/article/2021/1006-2467/1006-2467-55-5-521.shtml |
| _version_ | 1818716371304841216 |
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| author | YUAN Xinyi, SU Yan, LIU Zuyuan |
| author_facet | YUAN Xinyi, SU Yan, LIU Zuyuan |
| author_sort | YUAN Xinyi, SU Yan, LIU Zuyuan |
| collection | DOAJ |
| description | Highly accurate Boussinesq-type equations in terms of velocity potential are used for the simulation of shallow-water sloshing in a three-dimensional tank under the framework of the potential flow theory. The total velocity potential is separated into two parts: one part is a particular solution which satisfies the Laplace equation in the fluid domain and the no-flow condition on the walls while the other part is solved by the Boussinesq-type model. In the process of numerical calculation, the finite difference method is used for spatial derivative discretization and the 4th Runge-kutta method is used for time iteration. To verify the numerical model, the aspect ratio of the tank is set to be much less than 1 for simulation of 2D cases and is compared with the results published. In the 3D cases, four different sloshing motion forms are observed at each external excitation frequency, and a corresponding number of traveling waves are observed on the free surface. Moreover, the effects of external excitation frequency and coupling excitation on the sloshing motion in the tank are discussed. |
| first_indexed | 2024-12-17T19:18:12Z |
| format | Article |
| id | doaj.art-e66b4bb1294749728d513e7efa80f7be |
| institution | Directory Open Access Journal |
| issn | 1006-2467 |
| language | zho |
| last_indexed | 2024-12-17T19:18:12Z |
| publishDate | 2021-05-01 |
| publisher | Editorial Office of Journal of Shanghai Jiao Tong University |
| record_format | Article |
| series | Shanghai Jiaotong Daxue xuebao |
| spelling | doaj.art-e66b4bb1294749728d513e7efa80f7be2022-12-21T21:35:42ZzhoEditorial Office of Journal of Shanghai Jiao Tong UniversityShanghai Jiaotong Daxue xuebao1006-24672021-05-0155552152610.16183/j.cnki.jsjtu.2020.053Numerical Investigation of Three-Dimensional Shallow-Water Sloshing Based on High Accuracy Boussinesq EquationsYUAN Xinyi, SU Yan, LIU Zuyuan0School of Transportation, Wuhan University of Technology, Wuhan 430063, ChinaHighly accurate Boussinesq-type equations in terms of velocity potential are used for the simulation of shallow-water sloshing in a three-dimensional tank under the framework of the potential flow theory. The total velocity potential is separated into two parts: one part is a particular solution which satisfies the Laplace equation in the fluid domain and the no-flow condition on the walls while the other part is solved by the Boussinesq-type model. In the process of numerical calculation, the finite difference method is used for spatial derivative discretization and the 4th Runge-kutta method is used for time iteration. To verify the numerical model, the aspect ratio of the tank is set to be much less than 1 for simulation of 2D cases and is compared with the results published. In the 3D cases, four different sloshing motion forms are observed at each external excitation frequency, and a corresponding number of traveling waves are observed on the free surface. Moreover, the effects of external excitation frequency and coupling excitation on the sloshing motion in the tank are discussed.http://xuebao.sjtu.edu.cn/article/2021/1006-2467/1006-2467-55-5-521.shtmlboussinesq equationsfinite difference methodpotential flow theorysloshingshallow-water |
| spellingShingle | YUAN Xinyi, SU Yan, LIU Zuyuan Numerical Investigation of Three-Dimensional Shallow-Water Sloshing Based on High Accuracy Boussinesq Equations Shanghai Jiaotong Daxue xuebao boussinesq equations finite difference method potential flow theory sloshing shallow-water |
| title | Numerical Investigation of Three-Dimensional Shallow-Water Sloshing Based on High Accuracy Boussinesq Equations |
| title_full | Numerical Investigation of Three-Dimensional Shallow-Water Sloshing Based on High Accuracy Boussinesq Equations |
| title_fullStr | Numerical Investigation of Three-Dimensional Shallow-Water Sloshing Based on High Accuracy Boussinesq Equations |
| title_full_unstemmed | Numerical Investigation of Three-Dimensional Shallow-Water Sloshing Based on High Accuracy Boussinesq Equations |
| title_short | Numerical Investigation of Three-Dimensional Shallow-Water Sloshing Based on High Accuracy Boussinesq Equations |
| title_sort | numerical investigation of three dimensional shallow water sloshing based on high accuracy boussinesq equations |
| topic | boussinesq equations finite difference method potential flow theory sloshing shallow-water |
| url | http://xuebao.sjtu.edu.cn/article/2021/1006-2467/1006-2467-55-5-521.shtml |
| work_keys_str_mv | AT yuanxinyisuyanliuzuyuan numericalinvestigationofthreedimensionalshallowwatersloshingbasedonhighaccuracyboussinesqequations |