Fixed grid techniques for phase change problems: A review. (English) Zbl 0729.73237

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

Int. J. Numer. Methods Eng. 30, No. 4, 875-898 (1990).

Summary: 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.

MSC:

74S05	Finite element methods applied to problems in solid mechanics
74S30	Other numerical methods in solid mechanics (MSC2010)

Keywords:

conduction controlled phase change problems; two phase model; solid/liquid phase change; enthalpy equation; finite volume discretizations

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