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A review on computational modelling of phase-transition problems
Hector Gomez1, Miguel Bures1, Adrian Moure1
1School of Mechanical Engineering , Purdue University , 585 Purdue Mall, West Lafayette, 47907 IN , USA.
Abstract:
Phase-transition problems are ubiquitous in science and engineering. They have been widely studied via theory, experiments and computations. This paper reviews the main challenges associated with computational modelling of phase-transition problems, addressing both model development and numerical discretization of the resulting equations. We focus on classical phase-transition problems, including liquid-solid, gas-liquid and solid-solid transformations. Our review has a strong emphasis on the treatment of interfacial phenomena and the phase-field method. This article is part of the theme issue 'Heterogeneous materials: metastable and non-ergodic internal structures'.
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