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: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Praise Worthy Prize
2008
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| 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 |
| Summary: | 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. |
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