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Numerical simulation of ice formation in a reservoir

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Abstract

The one-dimensional formulation is considered of a two-phase Stefan problem of heat flow with an unknown phase transition temperature that depends on the concentration of impurity. A numerical method is described for implementing the constraints that the heat and mass conservation are given on the unknown nonstationary boundary between the liquid and solid phases. Some examples are included of simulations for the sodium chloride solutions of different concentrations.

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Authors and Affiliations

  1. Lavrentiev Institute of Hydrodynamics, pr. Akad. Lavrentieva 15, Novosibirsk, 630090, Russia

    A. F. Voevodin

  2. Institute for Water and Environmental Problems, ul. Molodyoznaya 1, Barnaul, 656038, Russia

    T. B. Grankina

Authors
  1. A. F. Voevodin
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  2. T. B. Grankina
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Correspondence to T. B. Grankina.

Additional information

Original Russian Text © A.F. Voevodin, T.B. Grankina, 2006, published in Sibirskii Zhurnal Industrial’noi Matematiki, 2006, Vol. IX, No. 1(25), pp. 47–54.

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Voevodin, A.F., Grankina, T.B. Numerical simulation of ice formation in a reservoir. J. Appl. Ind. Math. 2, 440–446 (2008). https://doi.org/10.1134/S1990478908030150

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  • DOI: https://doi.org/10.1134/S1990478908030150

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