Fixed grid techniques for phase change problems: A review

V. R. Voller, C. R. Swaminathan, B. G. Thomas

Research output: Contribution to journalArticlepeer-review


The aim of this paper is to categorize the major fixed grid formulations and solution methods for conduction controlled phase change problems. Using a two phase model of a solid/liquid phase change, the basic enthalpy equation is derived. Starting from this equation, a number of alternative formulations are obtained. All the formulations are reduced to a standard form. From this standard form, finite element and finite volume discretizations are developed. These discretizations are used as the basis for a number of fixed grid numerical solution techniques for solidification phase change systems. In particular, various apparent capacity and source based enthalpy methods are explored.

Original languageEnglish (US)
Pages (from-to)875-898
Number of pages24
JournalInternational Journal for Numerical Methods in Engineering
Issue number4
StatePublished - Sep 1990
Externally publishedYes

ASJC Scopus subject areas

  • Numerical Analysis
  • General Engineering
  • Applied Mathematics


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