Immersed boundary method combined with proper generalized decomposition for simulation of a flexible filament in a viscous incompressible flow
In this paper, a combination of the Proper Generalized Decomposition (PGD) with the Immersed Boundary method (IBM) for solving fluid-filament interaction problem is proposed. In this combination, a forcing term constructed by the IBM is introduced to Navier-Stokes equations to handle the influe...
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| Format: | Article |
| Language: | English |
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Publishing House for Science and Technology
2017-06-01
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| Series: | Vietnam Journal of Mechanics |
| Subjects: | |
| Online Access: | https://vjs.ac.vn/index.php/vjmech/article/view/8120 |
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| _version_ | 1850241781244887040 |
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| author | Cuong Q. Le H. Phan-Duc Son H. Nguyen |
| author_facet | Cuong Q. Le H. Phan-Duc Son H. Nguyen |
| author_sort | Cuong Q. Le |
| collection | DOAJ |
| description |
In this paper, a combination of the Proper Generalized Decomposition (PGD) with the Immersed Boundary method (IBM) for solving fluid-filament interaction problem is proposed. In this combination, a forcing term constructed by the IBM is introduced to Navier-Stokes equations to handle the influence of the filament on the fluid flow. The PGD is applied to solve the Poission's equation to find the fluid pressure distribution for each time step. The numerical results are compared with those by previous publications to illustrate the robustness and effectiveness of the proposed method.
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| format | Article |
| id | doaj-art-49a5dce8fc7849059a0bded18aed0e08 |
| institution | OA Journals |
| issn | 0866-7136 2815-5882 |
| language | English |
| publishDate | 2017-06-01 |
| publisher | Publishing House for Science and Technology |
| record_format | Article |
| series | Vietnam Journal of Mechanics |
| spelling | doaj-art-49a5dce8fc7849059a0bded18aed0e082025-08-20T02:00:29ZengPublishing House for Science and TechnologyVietnam Journal of Mechanics0866-71362815-58822017-06-0139210.15625/0866-7136/8120Immersed boundary method combined with proper generalized decomposition for simulation of a flexible filament in a viscous incompressible flowCuong Q. Le0H. Phan-Duc1Son H. Nguyen2Ho Chi Minh City University of Technology and Education, VietnamHo Chi Minh City University of Technology and Education, VietnamHo Chi Minh City University of Technology and Education, Vietnam In this paper, a combination of the Proper Generalized Decomposition (PGD) with the Immersed Boundary method (IBM) for solving fluid-filament interaction problem is proposed. In this combination, a forcing term constructed by the IBM is introduced to Navier-Stokes equations to handle the influence of the filament on the fluid flow. The PGD is applied to solve the Poission's equation to find the fluid pressure distribution for each time step. The numerical results are compared with those by previous publications to illustrate the robustness and effectiveness of the proposed method. https://vjs.ac.vn/index.php/vjmech/article/view/8120Immersed boundary methodfluid-structure interactionproper generalized decomposition |
| spellingShingle | Cuong Q. Le H. Phan-Duc Son H. Nguyen Immersed boundary method combined with proper generalized decomposition for simulation of a flexible filament in a viscous incompressible flow Vietnam Journal of Mechanics Immersed boundary method fluid-structure interaction proper generalized decomposition |
| title | Immersed boundary method combined with proper generalized decomposition for simulation of a flexible filament in a viscous incompressible flow |
| title_full | Immersed boundary method combined with proper generalized decomposition for simulation of a flexible filament in a viscous incompressible flow |
| title_fullStr | Immersed boundary method combined with proper generalized decomposition for simulation of a flexible filament in a viscous incompressible flow |
| title_full_unstemmed | Immersed boundary method combined with proper generalized decomposition for simulation of a flexible filament in a viscous incompressible flow |
| title_short | Immersed boundary method combined with proper generalized decomposition for simulation of a flexible filament in a viscous incompressible flow |
| title_sort | immersed boundary method combined with proper generalized decomposition for simulation of a flexible filament in a viscous incompressible flow |
| topic | Immersed boundary method fluid-structure interaction proper generalized decomposition |
| url | https://vjs.ac.vn/index.php/vjmech/article/view/8120 |
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