Finite difference solutions of solidification phase change problems: Transformed versus fixed grids

M. Lacroix, V. R. Voller

Research output: Contribution to journalArticlepeer-review

119 Scopus citations

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 languageEnglish (US)
Pages (from-to)25-41
Number of pages17
JournalNumerical Heat Transfer, Part B: Fundamentals
Volume17
Issue number1
DOIs
StatePublished - 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,

Fingerprint

Dive into the research topics of 'Finite difference solutions of solidification phase change problems: Transformed versus fixed grids'. Together they form a unique fingerprint.

Cite this