A Boundary Element Investigation of Liquid Sloshing in Coupled Horizontal and Vertical Excitation
Sloshing flows in a two-dimensional rigid rectangular tank under specified excitations in the coupled horizontal and vertical modes are simulated by using a higher-order boundary element method (BEM). The liquid sloshing is formulated as an initial-boundary-value problem based on the fully nonlinear...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/340640 |
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| author | De-Zhi Ning Wei-Hua Song Yu-Long Liu Bin Teng |
| author_facet | De-Zhi Ning Wei-Hua Song Yu-Long Liu Bin Teng |
| author_sort | De-Zhi Ning |
| collection | DOAJ |
| description | Sloshing flows in a two-dimensional rigid rectangular tank under specified excitations in the coupled horizontal and vertical modes are simulated by using a higher-order boundary element method (BEM). The liquid sloshing is formulated as an initial-boundary-value problem based on the fully nonlinear potential flow theory. And a semi-mixed Eulerian-Lagrangian technique combined with the 4th-order Runge-Kutta scheme is employed to advance the solutions in the time marching process. A smoothing technique is applied to the free surface at every several time steps to avoid the possible numerical instabilities. Numerical results obtained are compared with the available solutions to validate the developed model. The parametric studies are carried out to show the liquid sloshing effects in terms of the slosh frequencies and excitation amplitudes in horizontal and vertical modes, the second-order resonance frequency, a bottom-mounted vertical rigid baffle, free surface displacement, and hydrodynamic forces acting on the tank. |
| format | Article |
| id | doaj-art-9449ef8fcf5446ec91b843752d18d6f9 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-9449ef8fcf5446ec91b843752d18d6f92025-08-20T03:37:27ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/340640340640A Boundary Element Investigation of Liquid Sloshing in Coupled Horizontal and Vertical ExcitationDe-Zhi Ning0Wei-Hua Song1Yu-Long Liu2Bin Teng3State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, ChinaState Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, ChinaState Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, ChinaState Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, ChinaSloshing flows in a two-dimensional rigid rectangular tank under specified excitations in the coupled horizontal and vertical modes are simulated by using a higher-order boundary element method (BEM). The liquid sloshing is formulated as an initial-boundary-value problem based on the fully nonlinear potential flow theory. And a semi-mixed Eulerian-Lagrangian technique combined with the 4th-order Runge-Kutta scheme is employed to advance the solutions in the time marching process. A smoothing technique is applied to the free surface at every several time steps to avoid the possible numerical instabilities. Numerical results obtained are compared with the available solutions to validate the developed model. The parametric studies are carried out to show the liquid sloshing effects in terms of the slosh frequencies and excitation amplitudes in horizontal and vertical modes, the second-order resonance frequency, a bottom-mounted vertical rigid baffle, free surface displacement, and hydrodynamic forces acting on the tank.http://dx.doi.org/10.1155/2012/340640 |
| spellingShingle | De-Zhi Ning Wei-Hua Song Yu-Long Liu Bin Teng A Boundary Element Investigation of Liquid Sloshing in Coupled Horizontal and Vertical Excitation Journal of Applied Mathematics |
| title | A Boundary Element Investigation of Liquid Sloshing in Coupled Horizontal and Vertical Excitation |
| title_full | A Boundary Element Investigation of Liquid Sloshing in Coupled Horizontal and Vertical Excitation |
| title_fullStr | A Boundary Element Investigation of Liquid Sloshing in Coupled Horizontal and Vertical Excitation |
| title_full_unstemmed | A Boundary Element Investigation of Liquid Sloshing in Coupled Horizontal and Vertical Excitation |
| title_short | A Boundary Element Investigation of Liquid Sloshing in Coupled Horizontal and Vertical Excitation |
| title_sort | boundary element investigation of liquid sloshing in coupled horizontal and vertical excitation |
| url | http://dx.doi.org/10.1155/2012/340640 |
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