A Time-Domain Boundary Element Method for Wave Diffraction in a Two-Layer Fluid
A time-domain numerical model is established based on the higher-order boundary element method (HOBEM) to simulate wave diffraction problem in a two-layer fluid of finite depth. There are two possible incident wave modes (surface-wave mode and internal-wave mode) exist in the incident wave for a pre...
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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/10.1155/2012/686824 |
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| author | Ying Gou Xin-jia Chen Teng Bin |
| author_facet | Ying Gou Xin-jia Chen Teng Bin |
| author_sort | Ying Gou |
| collection | DOAJ |
| description | A time-domain numerical model is established based on the higher-order boundary element method (HOBEM) to simulate wave diffraction problem in a two-layer fluid of finite depth. There are two possible incident wave modes (surface-wave mode and internal-wave mode) exist in the incident wave for a prescribed frequency in a two-layer fluid. For surface-wave mode, the hydrodynamic characters of fluid particles are similar to single-layer fluid. For the internal-wave mode, through the definition of a new function respected to velocity potentials of upper and lower fluid on the interface by using matching condition, a single set of linear equations is set up to compute the time histories of wave forces and wave profiles by using a fourth-order Runge-Kutta method. An artificial damping layer is adopted both on the free surface and interface to avoid the wave reflection. Examinations of the accuracy of this time-domain algorithm are carried out for a truncated cylinder and a rectangular barge, and the results demonstrate the effectiveness of this method. |
| format | Article |
| id | doaj-art-f30e465853d84bd1bc2a789800db0115 |
| 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-f30e465853d84bd1bc2a789800db01152025-02-03T01:10:47ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/686824686824A Time-Domain Boundary Element Method for Wave Diffraction in a Two-Layer FluidYing Gou0Xin-jia Chen1Teng Bin2State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Liaoning, Dalian 116024, ChinaState Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Liaoning, Dalian 116024, ChinaState Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Liaoning, Dalian 116024, ChinaA time-domain numerical model is established based on the higher-order boundary element method (HOBEM) to simulate wave diffraction problem in a two-layer fluid of finite depth. There are two possible incident wave modes (surface-wave mode and internal-wave mode) exist in the incident wave for a prescribed frequency in a two-layer fluid. For surface-wave mode, the hydrodynamic characters of fluid particles are similar to single-layer fluid. For the internal-wave mode, through the definition of a new function respected to velocity potentials of upper and lower fluid on the interface by using matching condition, a single set of linear equations is set up to compute the time histories of wave forces and wave profiles by using a fourth-order Runge-Kutta method. An artificial damping layer is adopted both on the free surface and interface to avoid the wave reflection. Examinations of the accuracy of this time-domain algorithm are carried out for a truncated cylinder and a rectangular barge, and the results demonstrate the effectiveness of this method.http://dx.doi.org/10.1155/2012/686824 |
| spellingShingle | Ying Gou Xin-jia Chen Teng Bin A Time-Domain Boundary Element Method for Wave Diffraction in a Two-Layer Fluid Journal of Applied Mathematics |
| title | A Time-Domain Boundary Element Method for Wave Diffraction in a Two-Layer Fluid |
| title_full | A Time-Domain Boundary Element Method for Wave Diffraction in a Two-Layer Fluid |
| title_fullStr | A Time-Domain Boundary Element Method for Wave Diffraction in a Two-Layer Fluid |
| title_full_unstemmed | A Time-Domain Boundary Element Method for Wave Diffraction in a Two-Layer Fluid |
| title_short | A Time-Domain Boundary Element Method for Wave Diffraction in a Two-Layer Fluid |
| title_sort | time domain boundary element method for wave diffraction in a two layer fluid |
| url | http://dx.doi.org/10.1155/2012/686824 |
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