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Finite difference methods for a nonlinear and strongly coupled heat and moisture transport system in textile materials

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Abstract

In this paper, we study heat and moisture transport through porous textile materials with phase change, described by a degenerate, nonlinear and strongly coupled parabolic system. An uncoupled finite difference method with semi-implicit Euler scheme in time direction is proposed for the system. We prove the existence and uniqueness of the solution of the finite difference system. The optimal error estimates in both discrete L 2 and H 1 norms are obtained under the condition that the mesh sizes τ and h are smaller than a positive constant, which depends solely upon physical parameters involved. Numerical results are presented to confirm our theoretical analysis and compared with experimental data.

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Authors and Affiliations

  1. Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong

    Weiwei Sun

  2. Department of Mathematics, Southeast University, Nanjing, 210096, People’s Republic of China

    Zhi-zhong Sun

Authors
  1. Weiwei Sun
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  2. Zhi-zhong Sun
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Correspondence to Weiwei Sun.

Additional information

The work was supported by a grant from the Research Grants Council of the Hong Kong Special Administrative Region, China (CityU 103410) and the National Natural Science Foundation of China (Project No. 10871044).

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Sun, W., Sun, Zz. Finite difference methods for a nonlinear and strongly coupled heat and moisture transport system in textile materials. Numer. Math. 120, 153–187 (2012). https://doi.org/10.1007/s00211-011-0402-3

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  • DOI: https://doi.org/10.1007/s00211-011-0402-3

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