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A Temporally-Piecewise Adaptive Algorithm to Solve Transient Convection-Diffusion Heat Transfer Problems

Xiao Zhao1, Haitian Yang1,2, Qiang Gao1
State Key Lab of Structural analysis for industrial Equipment, Dept. of Engineering Mechanics, Dalian University of Technology, Dalian, 116024, Dalian, P.R. China
Corresponding author. E-mail address: Haitian@dlut.edu.cn, Tel.: +86-41184708394; fax: +86-41184708393

Computer Modeling in Engineering & Sciences 2011, 74(2), 139-160. https://doi.org/10.3970/cmes.2011.074.139

Abstract

A piecewised adaptive algorithm in the time domain is presented to solve the transient convection-diffusion heat transfer problem. By expanding all variables at a time interval, an initial and boundary value problem is decoupled into a series of recursive boundary value problems which can be solved by FEM or other well developed numerical schemes to deal with boundary value problems. A steady computing accuracy can be adaptively maintained via the power increase of the expansion, particularly when the step size varies in the whole computing process. Additionally for the nonlinear cases, there is no requirement of iteration and additional assumption for the proposed algorithm. Three numerical examples are provided to verify the presented algorithm,and satisfactory results have been achieved.

Keywords

convection-diffusion, heat transfer, adaptive algorithm, time domain, FEM.

Cite This Article

Zhao, X., Yang, H., Gao, Q. (2011). A Temporally-Piecewise Adaptive Algorithm to Solve Transient Convection-Diffusion Heat Transfer Problems. CMES-Computer Modeling in Engineering & Sciences, 74(2), 139–160.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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