Mathematical Modelling and Applications

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Numerical Analysis of Chloride Diffusion in Concrete with Time Varying Coefficient Based on the ADI Method

Received: 15 February 2017    Accepted: 03 March 2017    Published: 21 March 2017
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Abstract

In this paper, a two-dimensional finite difference numerical model with time varying coefficient using Alternating Direction Implicit Method (ADI) is developed to predict Chloride diffusion in concrete. This model is proved to be unconditionally stable and has higher accuracy. And a numerical example is given to show the effectiveness of this model.

DOI 10.11648/j.mma.20170201.11
Published in Mathematical Modelling and Applications (Volume 2, Issue 1, February 2017)
Page(s) 1-7
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Chloride Ion, Time Varying Coefficient, ADI Method, Stable, Convergent

References
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[18] J. S. Kong, A. N. Ababneh, D. M. Frangopol, Y. P. Xi. Reliability analysis of Chloride penetration in saturated concrete. Probabilistic Engineering Mechanics. 2002, 17: 305-315.
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Author Information
  • Department of Mathematics, Beijing University of Civil Engineering and Architecture, Beijing, China; Beijing Key Laboratory of Functional Materials for Building Structure and Environment Remediation, Beijing University of Civil Engineering and Architecture, Beijing, China

  • Department of Mathematics, Beijing University of Civil Engineering and Architecture, Beijing, China

  • Department of Mathematics, Beijing University of Civil Engineering and Architecture, Beijing, China

  • Beijing Key Laboratory of Functional Materials for Building Structure and Environment Remediation, Beijing University of Civil Engineering and Architecture, Beijing, China; School of Civil and Transportation Engineering, Beijing University of Civil Engineering and Architecture, Beijing, China

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  • APA Style

    Yu Bai, Mengjie Tang, Fei Hou, Jun Dong. (2017). Numerical Analysis of Chloride Diffusion in Concrete with Time Varying Coefficient Based on the ADI Method. Mathematical Modelling and Applications, 2(1), 1-7. https://doi.org/10.11648/j.mma.20170201.11

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    ACS Style

    Yu Bai; Mengjie Tang; Fei Hou; Jun Dong. Numerical Analysis of Chloride Diffusion in Concrete with Time Varying Coefficient Based on the ADI Method. Math. Model. Appl. 2017, 2(1), 1-7. doi: 10.11648/j.mma.20170201.11

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    AMA Style

    Yu Bai, Mengjie Tang, Fei Hou, Jun Dong. Numerical Analysis of Chloride Diffusion in Concrete with Time Varying Coefficient Based on the ADI Method. Math Model Appl. 2017;2(1):1-7. doi: 10.11648/j.mma.20170201.11

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  • @article{10.11648/j.mma.20170201.11,
      author = {Yu Bai and Mengjie Tang and Fei Hou and Jun Dong},
      title = {Numerical Analysis of Chloride Diffusion in Concrete with Time Varying Coefficient Based on the ADI Method},
      journal = {Mathematical Modelling and Applications},
      volume = {2},
      number = {1},
      pages = {1-7},
      doi = {10.11648/j.mma.20170201.11},
      url = {https://doi.org/10.11648/j.mma.20170201.11},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.mma.20170201.11},
      abstract = {In this paper, a two-dimensional finite difference numerical model with time varying coefficient using Alternating Direction Implicit Method (ADI) is developed to predict Chloride diffusion in concrete. This model is proved to be unconditionally stable and has higher accuracy. And a numerical example is given to show the effectiveness of this model.},
     year = {2017}
    }
    

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    T1  - Numerical Analysis of Chloride Diffusion in Concrete with Time Varying Coefficient Based on the ADI Method
    AU  - Yu Bai
    AU  - Mengjie Tang
    AU  - Fei Hou
    AU  - Jun Dong
    Y1  - 2017/03/21
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    N1  - https://doi.org/10.11648/j.mma.20170201.11
    DO  - 10.11648/j.mma.20170201.11
    T2  - Mathematical Modelling and Applications
    JF  - Mathematical Modelling and Applications
    JO  - Mathematical Modelling and Applications
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    EP  - 7
    PB  - Science Publishing Group
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    UR  - https://doi.org/10.11648/j.mma.20170201.11
    AB  - In this paper, a two-dimensional finite difference numerical model with time varying coefficient using Alternating Direction Implicit Method (ADI) is developed to predict Chloride diffusion in concrete. This model is proved to be unconditionally stable and has higher accuracy. And a numerical example is given to show the effectiveness of this model.
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