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.
Citation: 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.

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

  • Received Date: 2003-12-17
  • Rev Recd Date: 2005-03-08
  • Publish Date: 2005-07-15
  • 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.
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  • [1]
    Thomas H R,Lewis R W,Morgan K.An application of the finite element method to the drying of timber[J].Wood Fiber,1979,11:123—130.
    [2]
    Lewis R W,Morgan K,Thomas H R,et al.The Finite Element Method in Heat Transfer Analysis[M].UK(London):Wiley,1996,213—249.
    [3]
    YANG Hai-tian.A precise algorithm in the time domain to solve the problem of heat transfer[J].Numerical Heat Transfer,Part B,1999,35(2):243—249. doi: 10.1080/104077999275974
    [4]
    YANG Hai-tian.A new approach of time stepping for solving transfer problems [J].Communications of Numerical methods in Engineering,1999,15:325—334. doi: 10.1002/(SICI)1099-0887(199905)15:5<325::AID-CNM247>3.0.CO;2-M
    [5]
    YANG Hai-tian,GAO Qiang,GUO Xing-lin,et al.A new algorithm of time stepping in the non-linear dynamic analysis[J].Communications of Numerical Methods in Engineering,2001,17(9):597—611. doi: 10.1002/cnm.433
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