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Influence of the Parameters of Discretization on the Accuracy of Numerical Solution of the Three-Dimensional Problem of Hydrogen Diffusion

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Materials Science Aims and scope

We propose an algorithm and programs for the solution of the three-dimensional problem of hydrogen diffusion. Some numerical solutions of this problem and the problem of heat conduction in the three dimensional statement are verified by analyzing test problems whose analytic solutions are known. The dependence of the relative error on the density of elements of the grid and time intervals is constructed by using the finite-element method.

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References

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Authors and Affiliations

  1. Karpenko Physicomechanical Institute, Ukrainian National Academy of Sciences, Lviv, Ukraine

    O. V. Hembara & O. Ya. Chepil’

  2. I. Franko Lviv National University, Lviv, Ukraine

    N. T. Hembara

Authors
  1. O. V. Hembara
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  2. O. Ya. Chepil’
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  3. N. T. Hembara
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Correspondence to O. Ya. Chepil’.

Additional information

Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 52, No. 2, pp. 119–123, March–April, 2016.

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Hembara, O.V., Chepil’, O.Y. & Hembara, N.T. Influence of the Parameters of Discretization on the Accuracy of Numerical Solution of the Three-Dimensional Problem of Hydrogen Diffusion. Mater Sci 52, 280–286 (2016). https://doi.org/10.1007/s11003-016-9955-8

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  • DOI: https://doi.org/10.1007/s11003-016-9955-8

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