Parallel Implementation Of Field Visualizations With High Order Tetrahedral Finite Elements

In the adaptive finite element method (AFEM), high order finite elements are usually used in the computations. In three dimensional simulations, post-processing poses considerable challenge since available data visualization software programs do not accommodate such a high order visualization—common...

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主要作者: Ishak, Mohammad Hafifi Hafiz
格式: Thesis
语言:English
出版: 2013
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spelling my-usm-ep.440402019-04-12T05:26:17Z Parallel Implementation Of Field Visualizations With High Order Tetrahedral Finite Elements 2013-04 Ishak, Mohammad Hafifi Hafiz TJ1-1570 Mechanical engineering and machinery In the adaptive finite element method (AFEM), high order finite elements are usually used in the computations. In three dimensional simulations, post-processing poses considerable challenge since available data visualization software programs do not accommodate such a high order visualization—common data visualizers can only visualize for up to ten-node tetrahedron elements. This work proposes and implements an efficient framework for data visualization with tetrahedron finite elements having hierarchical basis functions. A general method for post-processing of field data with high order tetrahedra is presented. The method builds upon an approach of the open source visualization software VTK where the data visualizer program ParaView is freely available. By using Red Partitioning of high order elements, the implemented algorithm successfully enables visualization of up to fourth order tetrahedra while using the same data structure for second order tetrahedra as available in ParaView. The results of the implementation clearly show the corresponding increase in accuracy of visualization when the polynomial orders were increased, i.e., the field contour lines are increasingly smoother. Parallelism of the code with the message passing package openMPI was also implemented to increase the computational performance in a multicore computing platform. The results show that computational times taken in the data post-processing significantly decreases when multicore parallel processing is enabled. The developed algorithm was assessed on various problem geometries with considerable high number of unknowns where it is found that the approach is quite scalable. 2013-04 Thesis http://eprints.usm.my/44040/ http://eprints.usm.my/44040/1/Mohammad%20Hafifi%20Hafiz%20Bin%20Ishak24.pdf application/pdf en public masters 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
Ishak, Mohammad Hafifi Hafiz
Parallel Implementation Of Field Visualizations With High Order Tetrahedral Finite Elements
description In the adaptive finite element method (AFEM), high order finite elements are usually used in the computations. In three dimensional simulations, post-processing poses considerable challenge since available data visualization software programs do not accommodate such a high order visualization—common data visualizers can only visualize for up to ten-node tetrahedron elements. This work proposes and implements an efficient framework for data visualization with tetrahedron finite elements having hierarchical basis functions. A general method for post-processing of field data with high order tetrahedra is presented. The method builds upon an approach of the open source visualization software VTK where the data visualizer program ParaView is freely available. By using Red Partitioning of high order elements, the implemented algorithm successfully enables visualization of up to fourth order tetrahedra while using the same data structure for second order tetrahedra as available in ParaView. The results of the implementation clearly show the corresponding increase in accuracy of visualization when the polynomial orders were increased, i.e., the field contour lines are increasingly smoother. Parallelism of the code with the message passing package openMPI was also implemented to increase the computational performance in a multicore computing platform. The results show that computational times taken in the data post-processing significantly decreases when multicore parallel processing is enabled. The developed algorithm was assessed on various problem geometries with considerable high number of unknowns where it is found that the approach is quite scalable.
format Thesis
qualification_level Master's degree
author Ishak, Mohammad Hafifi Hafiz
author_facet Ishak, Mohammad Hafifi Hafiz
author_sort Ishak, Mohammad Hafifi Hafiz
title Parallel Implementation Of Field Visualizations With High Order Tetrahedral Finite Elements
title_short Parallel Implementation Of Field Visualizations With High Order Tetrahedral Finite Elements
title_full Parallel Implementation Of Field Visualizations With High Order Tetrahedral Finite Elements
title_fullStr Parallel Implementation Of Field Visualizations With High Order Tetrahedral Finite Elements
title_full_unstemmed Parallel Implementation Of Field Visualizations With High Order Tetrahedral Finite Elements
title_sort parallel implementation of field visualizations with high order tetrahedral finite elements
granting_institution Universiti Sains Malaysia
granting_department Pusat Pengajian Kejuruteraan Mekanikal
publishDate 2013
url http://eprints.usm.my/44040/1/Mohammad%20Hafifi%20Hafiz%20Bin%20Ishak24.pdf
_version_ 1747821324570460160