Comparison of optimum finite element method vs. differential quadrature method in two-dimensional heat transfer problem

Among various numerical solution techniques, finite element method (FEM) and differential quadrature method (DQM) are two important of those. Usually elements are sub-divided uniformly in FEM (conventional FEM, CFEM) to obtain temperature distribution behavior in a fin or plate. Hence, extra computa...

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Main Authors: Fakir, Md. Moslemuddin, Basri, Shahnor, Varatharajoo, Renuganth, Jaafar, Abdul Aziz, Mohd Rafie, Azmin Shakrine, Abang Abdul Majid, Dayang Laila
Format: Article
Language:English
Published: Praise Worthy Prize 2008
Online Access:http://psasir.upm.edu.my/id/eprint/13694/1/Comparison%20of%20optimum%20finite%20element%20method%20vs.pdf
http://psasir.upm.edu.my/id/eprint/13694/
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Institution: Universiti Putra Malaysia
Language: English
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spelling my.upm.eprints.136942015-10-06T07:10:54Z http://psasir.upm.edu.my/id/eprint/13694/ Comparison of optimum finite element method vs. differential quadrature method in two-dimensional heat transfer problem Fakir, Md. Moslemuddin Basri, Shahnor Varatharajoo, Renuganth Jaafar, Abdul Aziz Mohd Rafie, Azmin Shakrine Abang Abdul Majid, Dayang Laila Among various numerical solution techniques, finite element method (FEM) and differential quadrature method (DQM) are two important of those. Usually elements are sub-divided uniformly in FEM (conventional FEM, CFEM) to obtain temperature distribution behavior in a fin or plate. Hence, extra computational complexity is needed to obtain a fair solution with required accuracy. In this paper, non-uniform sub-elements are considered for FEM (optimum FEM, OFEM) solution to reduce the computational complexity. Then this OFEM is applied for the solution of two-dimensional heat transfer problem in a rectangular thin fin. The obtained results are compared with CFEM and optimum DQM (ODQM, with non-uniform mesh generation). It is found that the OFEM exhibit more accurate results than CFEM and ODQM showing its potentiality. Praise Worthy Prize 2008 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/13694/1/Comparison%20of%20optimum%20finite%20element%20method%20vs.pdf Fakir, Md. Moslemuddin and Basri, Shahnor and Varatharajoo, Renuganth and Jaafar, Abdul Aziz and Mohd Rafie, Azmin Shakrine and Abang Abdul Majid, Dayang Laila (2008) Comparison of optimum finite element method vs. differential quadrature method in two-dimensional heat transfer problem. International Review of Mechanical Engineering, 2 (3). ISSN 1970-8734; ESSN: 1970-8742
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description Among various numerical solution techniques, finite element method (FEM) and differential quadrature method (DQM) are two important of those. Usually elements are sub-divided uniformly in FEM (conventional FEM, CFEM) to obtain temperature distribution behavior in a fin or plate. Hence, extra computational complexity is needed to obtain a fair solution with required accuracy. In this paper, non-uniform sub-elements are considered for FEM (optimum FEM, OFEM) solution to reduce the computational complexity. Then this OFEM is applied for the solution of two-dimensional heat transfer problem in a rectangular thin fin. The obtained results are compared with CFEM and optimum DQM (ODQM, with non-uniform mesh generation). It is found that the OFEM exhibit more accurate results than CFEM and ODQM showing its potentiality.
format Article
author Fakir, Md. Moslemuddin
Basri, Shahnor
Varatharajoo, Renuganth
Jaafar, Abdul Aziz
Mohd Rafie, Azmin Shakrine
Abang Abdul Majid, Dayang Laila
spellingShingle Fakir, Md. Moslemuddin
Basri, Shahnor
Varatharajoo, Renuganth
Jaafar, Abdul Aziz
Mohd Rafie, Azmin Shakrine
Abang Abdul Majid, Dayang Laila
Comparison of optimum finite element method vs. differential quadrature method in two-dimensional heat transfer problem
author_facet Fakir, Md. Moslemuddin
Basri, Shahnor
Varatharajoo, Renuganth
Jaafar, Abdul Aziz
Mohd Rafie, Azmin Shakrine
Abang Abdul Majid, Dayang Laila
author_sort Fakir, Md. Moslemuddin
title Comparison of optimum finite element method vs. differential quadrature method in two-dimensional heat transfer problem
title_short Comparison of optimum finite element method vs. differential quadrature method in two-dimensional heat transfer problem
title_full Comparison of optimum finite element method vs. differential quadrature method in two-dimensional heat transfer problem
title_fullStr Comparison of optimum finite element method vs. differential quadrature method in two-dimensional heat transfer problem
title_full_unstemmed Comparison of optimum finite element method vs. differential quadrature method in two-dimensional heat transfer problem
title_sort comparison of optimum finite element method vs. differential quadrature method in two-dimensional heat transfer problem
publisher Praise Worthy Prize
publishDate 2008
url http://psasir.upm.edu.my/id/eprint/13694/1/Comparison%20of%20optimum%20finite%20element%20method%20vs.pdf
http://psasir.upm.edu.my/id/eprint/13694/
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