ArticlePhilosophical transactions. Series A, Mathematical, physical, and engineering sciences2019
A review on computational modelling of phase-transition problems.
Article in Philosophical transactions. Series A, Mathematical, physical, and engineering sciences, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 7 papers.
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Who cites it
7 citing papers in PubMed.
- Dynamic cluster field modeling of collective chemotaxis.Scientific reports · 2024Article
- A Phase-Field Model for Wet Snow Metamorphism.Crystal growth & design · 2024Article
- Spiral growth of multicomponent crystals: theoretical aspects.Frontiers in chemistry · 2023Article
- Inverting angiogenesis with interstitial flow and chemokine matrix-binding affinity.Scientific reports · 2022Article
- Tools for computational analysis of moving boundary problems in cellular mechanobiology.Wiley interdisciplinary reviews. Systems biology and medicine · 2020Review
- Patterns in soft and biological matters.Philosophical transactions. Series A, Mathematical, physical, and engineering sciences · 2020Article
- Heterogeneous materials: metastable and non-ergodic internal structures.Philosophical transactions. Series A, Mathematical, physical, and engineering sciences · 2019Article
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Authors and funding
3 authors.
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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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