Abstract
In using finite difference techniques for solving diffusion/ convection controlled solidification processes, the numerical discretization is commonly carried out in one of two ways: (1) transformed grid, in which case the physical space is transformed into a solution space that can be discretized with a fixed grid in space; (2) fixed grid, in which case the physical space is discretized with a fixed uniform orthogonal grid and the effects of the phase change are accounted for on the definition of suitable source terms. In this paper, recently proposed transformed- and fixed-grid methods are outlined. The two methods are evaluated based on solving a problem involving the melting of gallium. Comparisons are made between the predictive power of the two methods to resolve the position of the moving phase-change front.
Original language | English (US) |
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Pages (from-to) | 25-41 |
Number of pages | 17 |
Journal | Numerical Heat Transfer, Part B: Fundamentals |
Volume | 17 |
Issue number | 1 |
DOIs | |
State | Published - Jan 1 1990 |
Bibliographical note
Funding Information:Marcel Lacroix acknowledges the support of the Natural Sciences and Engineering Research Council of Canada and Vaughan Voller acknowledges the support of Alcan Research during this study,