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A review on computational modelling of phase-transition problems.


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'.

SUBMITTER: Gomez H 

PROVIDER: S-EPMC6460062 | biostudies-literature | 2019 Apr

REPOSITORIES: biostudies-literature

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A review on computational modelling of phase-transition problems.

Gomez Hector H   Bures Miguel M   Moure Adrian A  

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences 20190401 2143


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 tr  ...[more]

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