Fast implicit finite-difference method for the analysis of phase change problems

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Abstract

This paper develops a rapid implicit solution technique for the enthalpy formulation of conduction controlled phase change problems. Initially, three existing implicit enthalpy schemes are introduced. A new enthalpy solution scheme, requiring no under- or over-relaxation, is then developed. The previous three schemes and the new scheme are tested on a range of problems in one and two dimensions. A comparison of CPU times shows that the new scheme is between 1.5 and 10 times faster than the previous schemes.

Original languageEnglish (US)
Pages (from-to)155-169
Number of pages15
JournalNumerical Heat Transfer, Part B: Fundamentals
Volume17
Issue number2
DOIs
StatePublished - Jan 1 1990

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