Solving 2-D Nonlinear Coupled Heat and Moisture Transfer Problems via a Self-Adaptive Precise Algorithm in Time Domain

YANG Hai-tian; LIU Yan; WU Rui-feng

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Article Navigation > Applied Mathematics and Mechanics > 2005 > 26(7): 779-784

YANG Hai-tian, LIU Yan, WU Rui-feng. Solving 2-D Nonlinear Coupled Heat and Moisture Transfer Problems via a Self-Adaptive Precise Algorithm in Time Domain[J]. Applied Mathematics and Mechanics, 2005, 26(7): 779-784.

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Solving 2-D Nonlinear Coupled Heat and Moisture Transfer Problems via a Self-Adaptive Precise Algorithm in Time Domain

1.
State Key Laboratory of Structural Analysis of Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, P. R. China;

Received Date: 2003-12-17
Rev Recd Date: 2005-03-08
Publish Date: 2005-07-15

Abstract

Abstract

A self-adaptive precise algorithm in the time domain was employed to solve 2-D nonlinear coupled heat and moisture transfer problems. By expanding variables at a discretized time interval, the variations of variables can be described more precisely, and a nonlinear coupled initial and boundary value problem was converted into a series of recurrent linear boundary value problems which are solved by FE technique. In the computation, no additional assumption and the nonlinear iteration are required, and a criterion for selfadaptive computation is proposed to maintain sufficient computing accuracy for the change sizes of time steps. In the numerical comparison, the variations of material properties with temperature, moisture content, and both temperature and moisture content are taken into account, respectively. Satisfactory results have been obtained, indicating that the proposed approach is capable of dealing with complex nonlinear problems.
- finite element,
- non-linear transfer problem,
- time stepping,
- selfadaptive computation

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References(5)

References

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