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

M. Lacroix, V. R. Voller

Research output: Contribution to journalArticlepeer-review

115 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

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