Journal of the Physical Society of Japan
Online ISSN : 1347-4073
Print ISSN : 0031-9015
ISSN-L : 0031-9015
A Finite-Difference Solution of a Crystal Growth Stefan Problem
Naoyuki Tokuda
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1985 年 54 巻 1 号 p. 162-167

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This paper presents a finite-difference solution of a crystal growth Stefan problem in an isothermal binary component melt system. To ensure the accuracy of the computation without increasing the computational time, a variable scheme of grid size has been introduced whereby a smaller grid size is chosen at small times when the effective number of grid points available for computations is small. The numerical results are obtained for several values of the equilibrium parameter ue of the problem. The present results confirm that both the small time Lagrange-Bürmann solution and the large time asymptotic solution of the same problem given earlier by the author predict a correct behavior of the solution over considerably extended physical time domains. An excellent experimental verification is also obtained.
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