Abstract
We consider a model of crystallization process in a binary compound taking into account heat and mass transfer in the solid and liquid phases. Stability of various methods for the numerical implementation of nonlinear conditions on a moving internal boundary is analyzed. For a group of methods based on the successive solution of governing equations, the stability domains determined by the system thermodynamic parameters are indicated. A coupled algorithm for solving the problem is proposed. Nonlinear equations at the phase interface are solved by the Newton method. The coupled algorithm has a significant stability margin and provides reliable results in a broad range of parameters of practical interest.
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Russian Text © The Author(s), 2019, published in Differentsial’nye Uravneniya, 2019, Vol. 55, No. 7, pp. 962–972.
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Gusev, A.O., Shcheritsa, O.V. & Mazhorova, O.S. Stability Analysis of Solution Methods for a Phase Transition Problem. Diff Equat 55, 929–939 (2019). https://doi.org/10.1134/S0012266119070061
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DOI: https://doi.org/10.1134/S0012266119070061