An Hp-Adaptive Finite Element Procedure For Fluid-Structure Interaction In Fully Eulerian Framework
This thesis attempts to implement a fully automatic hp-adaptive finite element procedure for fluid-structure interaction (FSI) problems in two dimensions. This work hypotesizes the efficacy of Fully Eulerian framework of FSI in hp-adaptivity on an a posteriori error estimator and adaptation for mini...
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| Format: | Thesis |
| Language: | English |
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2013
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| Online Access: | http://eprints.usm.my/46298/1/Mohamad%20Aizat%20Bin%20Abas24.pdf |
| _version_ | 1825905534158503936 |
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| author | Abas, Mohamad Aizat |
| author_facet | Abas, Mohamad Aizat |
| author_sort | Abas, Mohamad Aizat |
| collection | USM |
| description | This thesis attempts to implement a fully automatic hp-adaptive finite element procedure for fluid-structure interaction (FSI) problems in two dimensions. This work hypotesizes the efficacy of Fully Eulerian framework of FSI in hp-adaptivity on an a posteriori error estimator and adaptation for minimization of error in energy norm. Automatic mesh adaptation over triangular elements is handled by red-green-blue (RGB) refinement method. An effective mesh adaptivity to avoid excessive growth of unknowns is also addressed. Since the hp-method uses high order polynomials as approximation functions, the resulting system matrices are less sparse leading to the notion of FSI computation with parallelism. The parallel hp-adaptive computation is assessed with the conventional uniform and h refinement on a number of benchmark test cases. Subsequently, the efficacy of the fully Eulerian framework is compared to the well known Arbitrary Lagrangian Framework( ALE) for two different material models, namely, the St. Venant Kirchoff and the Neo-Hookean models. It was found that the fully Eulerian framework provides accurate FSI predictions for large deformation without need of frequent remeshing. The hp-adaptive method was also found to be a viable approach in obtaining accurate solutions without much compromise in computer memory and time. Furthermore, the integration of parallelism is successful in reducing the computation time by up to two orders of magnitude relative to the serial solver. For the comparisons between the ALE and the fully Eulerian frameworks, the computed solutions in all test cases are observed to be in agreement with each other. |
| first_indexed | 2024-03-06T15:35:54Z |
| format | Thesis |
| id | usm.eprints-46298 |
| institution | Universiti Sains Malaysia |
| language | English |
| last_indexed | 2024-03-06T15:35:54Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | usm.eprints-462982020-02-21T01:57:58Z http://eprints.usm.my/46298/ An Hp-Adaptive Finite Element Procedure For Fluid-Structure Interaction In Fully Eulerian Framework Abas, Mohamad Aizat TJ1-1570 Mechanical engineering and machinery This thesis attempts to implement a fully automatic hp-adaptive finite element procedure for fluid-structure interaction (FSI) problems in two dimensions. This work hypotesizes the efficacy of Fully Eulerian framework of FSI in hp-adaptivity on an a posteriori error estimator and adaptation for minimization of error in energy norm. Automatic mesh adaptation over triangular elements is handled by red-green-blue (RGB) refinement method. An effective mesh adaptivity to avoid excessive growth of unknowns is also addressed. Since the hp-method uses high order polynomials as approximation functions, the resulting system matrices are less sparse leading to the notion of FSI computation with parallelism. The parallel hp-adaptive computation is assessed with the conventional uniform and h refinement on a number of benchmark test cases. Subsequently, the efficacy of the fully Eulerian framework is compared to the well known Arbitrary Lagrangian Framework( ALE) for two different material models, namely, the St. Venant Kirchoff and the Neo-Hookean models. It was found that the fully Eulerian framework provides accurate FSI predictions for large deformation without need of frequent remeshing. The hp-adaptive method was also found to be a viable approach in obtaining accurate solutions without much compromise in computer memory and time. Furthermore, the integration of parallelism is successful in reducing the computation time by up to two orders of magnitude relative to the serial solver. For the comparisons between the ALE and the fully Eulerian frameworks, the computed solutions in all test cases are observed to be in agreement with each other. 2013-05 Thesis NonPeerReviewed application/pdf en http://eprints.usm.my/46298/1/Mohamad%20Aizat%20Bin%20Abas24.pdf Abas, Mohamad Aizat (2013) An Hp-Adaptive Finite Element Procedure For Fluid-Structure Interaction In Fully Eulerian Framework. PhD thesis, Universiti Sains Malaysia. |
| spellingShingle | TJ1-1570 Mechanical engineering and machinery Abas, Mohamad Aizat An Hp-Adaptive Finite Element Procedure For Fluid-Structure Interaction In Fully Eulerian Framework |
| title | An Hp-Adaptive Finite Element
Procedure For Fluid-Structure
Interaction In Fully Eulerian
Framework |
| title_full | An Hp-Adaptive Finite Element
Procedure For Fluid-Structure
Interaction In Fully Eulerian
Framework |
| title_fullStr | An Hp-Adaptive Finite Element
Procedure For Fluid-Structure
Interaction In Fully Eulerian
Framework |
| title_full_unstemmed | An Hp-Adaptive Finite Element
Procedure For Fluid-Structure
Interaction In Fully Eulerian
Framework |
| title_short | An Hp-Adaptive Finite Element
Procedure For Fluid-Structure
Interaction In Fully Eulerian
Framework |
| title_sort | hp adaptive finite element procedure for fluid structure interaction in fully eulerian framework |
| topic | TJ1-1570 Mechanical engineering and machinery |
| url | http://eprints.usm.my/46298/1/Mohamad%20Aizat%20Bin%20Abas24.pdf |
| work_keys_str_mv | AT abasmohamadaizat anhpadaptivefiniteelementprocedureforfluidstructureinteractioninfullyeulerianframework AT abasmohamadaizat hpadaptivefiniteelementprocedureforfluidstructureinteractioninfullyeulerianframework |