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Fixed grid techniques for phase change problems: A review
Author(s) -
Voller V. R.,
Swaminathan C. R.,
Thomas B. G.
Publication year - 1990
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620300419
Subject(s) - grid , finite element method , enthalpy , phase change , mathematics , basis (linear algebra) , finite volume method , phase (matter) , mathematical optimization , computer science , thermodynamics , geometry , physics , quantum mechanics
Abstract 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.