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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Main Author:	Abas, Mohamad Aizat
Format:	Thesis
Language:	English
Published:	2013
Subjects:	TJ1-1570 Mechanical engineering and machinery
Online Access:	http://eprints.usm.my/46298/1/Mohamad%20Aizat%20Bin%20Abas24.pdf
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id	my-usm-ep.46298
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spelling	my-usm-ep.462982020-02-21T01:57:58Z An Hp-Adaptive Finite Element Procedure For Fluid-Structure Interaction In Fully Eulerian Framework 2013-05 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 http://eprints.usm.my/46298/ http://eprints.usm.my/46298/1/Mohamad%20Aizat%20Bin%20Abas24.pdf application/pdf en public phd doctoral Universiti Sains Malaysia Pusat Pengajian Kejuruteraan Mekanikal
institution	Universiti Sains Malaysia
collection	USM Institutional Repository
language	English
topic	TJ1-1570 Mechanical engineering and machinery
spellingShingle	TJ1-1570 Mechanical engineering and machinery Abas, Mohamad Aizat An Hp-Adaptive Finite Element Procedure For Fluid-Structure Interaction In Fully Eulerian Framework
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.
format	Thesis
qualification_name	Doctor of Philosophy (PhD.)
qualification_level	Doctorate
author	Abas, Mohamad Aizat
author_facet	Abas, Mohamad Aizat
author_sort	Abas, Mohamad Aizat
title	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_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_sort	hp-adaptive finite element procedure for fluid-structure interaction in fully eulerian framework
granting_institution	Universiti Sains Malaysia
granting_department	Pusat Pengajian Kejuruteraan Mekanikal
publishDate	2013
url	http://eprints.usm.my/46298/1/Mohamad%20Aizat%20Bin%20Abas24.pdf
_version_	1747821647557033984

An Hp-Adaptive Finite Element Procedure For Fluid-Structure Interaction In Fully Eulerian Framework

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