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Fixed grid numerical modeling of solid-liquid phase change problems

Gościk J.

Turbulence : international journal

2007

Vol. 12

75-98

Due to fundamental scientific interest as well as broad range applications in environment and technology numerous numerical techniques for solution of solid-liquid phase change problems have been elaborated. The essential computational difficulty and challenge is the way in which the latent heat evolution is accounted for. The differences in treating of the latent heat evolution are also commonly used for classification of numerical methods. The paper is concerned with description and analyzing numerical methods for solid-liquid phase change problems using uniform Cartesian grids. Typically they are broadly separated into two groups as either interface tracking or interface capturing method. The paper is an attempt also to discuss some ideas of implementation of hybrid techniques. These have appeared already in the newest trends in the development of prediction methods for the direct numerical simulation of multiphase phenomena based on one-domain (one-fluid) formalism coupled with efficient tracking algorithms.