Low order dynamical system for fluid-rigid body interaction problem using POD method
This paper describes the Reduced Order Modeling (ROM) for fluid rigid body interaction problem and discusses Proper Orthogonal Decomposition (POD) utilisation. The principal difficulty for using POD being the moving domains, a referenced fixed domain is introduced. The POD is applied for the velocit...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MULTIPHYSICS
2016-02-01
|
| Series: | International Journal of Multiphysics |
| Online Access: | http://journal.multiphysics.org/index.php/IJM/article/view/41 |
| _version_ | 1827840610097168384 |
|---|---|
| author | Erwan Liberge Mustapha Benaouicha Aziz Hamdouni |
| author_facet | Erwan Liberge Mustapha Benaouicha Aziz Hamdouni |
| author_sort | Erwan Liberge |
| collection | DOAJ |
| description | This paper describes the Reduced Order Modeling (ROM) for fluid rigid body interaction problem and discusses Proper Orthogonal Decomposition (POD) utilisation. The principal difficulty for using POD being the moving domains, a referenced fixed domain is introduced. The POD is applied for the velocity field obtained on the fixed domain. Then a method to reduce dynamical system in rigid body fluid interaction is developed. This method uses the fictitious domain method approach, which consists in treating the entire fluid-solid domain as a fluid. The rigid body is considered as a fluid, by using a high viscosity which can play the role of a penalisation factor of the rigidity constraint, and by adding a distributed Lagrange multiplied associated to this constraint in the weak formulation. The fluid flow problem is then formulated on the reference domain and POD modes are used in the weak formulation. The results are compared with computational solution and discussed. |
| first_indexed | 2024-03-12T07:36:44Z |
| format | Article |
| id | doaj.art-ce8e47ca4542435c95bd53b62bafd65e |
| institution | Directory Open Access Journal |
| issn | 1750-9548 2048-3961 |
| language | English |
| last_indexed | 2024-03-12T07:36:44Z |
| publishDate | 2016-02-01 |
| publisher | MULTIPHYSICS |
| record_format | Article |
| series | International Journal of Multiphysics |
| spelling | doaj.art-ce8e47ca4542435c95bd53b62bafd65e2023-09-02T21:30:41ZengMULTIPHYSICSInternational Journal of Multiphysics1750-95482048-39612016-02-012110.1260/17509540878430024364Low order dynamical system for fluid-rigid body interaction problem using POD methodErwan LibergeMustapha BenaouichaAziz HamdouniThis paper describes the Reduced Order Modeling (ROM) for fluid rigid body interaction problem and discusses Proper Orthogonal Decomposition (POD) utilisation. The principal difficulty for using POD being the moving domains, a referenced fixed domain is introduced. The POD is applied for the velocity field obtained on the fixed domain. Then a method to reduce dynamical system in rigid body fluid interaction is developed. This method uses the fictitious domain method approach, which consists in treating the entire fluid-solid domain as a fluid. The rigid body is considered as a fluid, by using a high viscosity which can play the role of a penalisation factor of the rigidity constraint, and by adding a distributed Lagrange multiplied associated to this constraint in the weak formulation. The fluid flow problem is then formulated on the reference domain and POD modes are used in the weak formulation. The results are compared with computational solution and discussed.http://journal.multiphysics.org/index.php/IJM/article/view/41 |
| spellingShingle | Erwan Liberge Mustapha Benaouicha Aziz Hamdouni Low order dynamical system for fluid-rigid body interaction problem using POD method International Journal of Multiphysics |
| title | Low order dynamical system for fluid-rigid body interaction problem using POD method |
| title_full | Low order dynamical system for fluid-rigid body interaction problem using POD method |
| title_fullStr | Low order dynamical system for fluid-rigid body interaction problem using POD method |
| title_full_unstemmed | Low order dynamical system for fluid-rigid body interaction problem using POD method |
| title_short | Low order dynamical system for fluid-rigid body interaction problem using POD method |
| title_sort | low order dynamical system for fluid rigid body interaction problem using pod method |
| url | http://journal.multiphysics.org/index.php/IJM/article/view/41 |
| work_keys_str_mv | AT erwanliberge loworderdynamicalsystemforfluidrigidbodyinteractionproblemusingpodmethod AT mustaphabenaouicha loworderdynamicalsystemforfluidrigidbodyinteractionproblemusingpodmethod AT azizhamdouni loworderdynamicalsystemforfluidrigidbodyinteractionproblemusingpodmethod |