Abstract
A self-adaptive precise altorithm 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 self-adaptive 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.
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Contributed by WU Rui-feng, Original Member of Editorial Committee, AMM
Project supported by the National Natural Science Foundation of China (Nos. 10172024 and 10421002), the Key Project of the National Natural Science Foundation of China (No. 10032030), the National Basic Research Program of China (973 Project) (No. G1999032805), the Planed Item for Distinguished Teacher Invested by Education Ministry of PRC (No. 2000-65), the Key Project Foundation of Education Ministry of PRC (No. 99149), the Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry (No. 1999-363) and the Science Foundation of Liaoning Province
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Hai-tian, Y., Yan, L. & Rui-feng, W. Solving 2-D nonlinear coupled heat and moisture transfer problems via a self-adaptive precise algorithm in time domain. Appl Math Mech 26, 848–854 (2005). https://doi.org/10.1007/BF02464233
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DOI: https://doi.org/10.1007/BF02464233