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A brief introduction to phase field method
AIP Conference Proceedings, 2010In this tutorial paper we will give a brief introduction of phase field method as a mathematical tool for describing interfaces and their motion. This method was originally developed as a model of solidification, which enabled us to simulate complicated structures like dendritic crystals easily.
Ryo Kobayashi +3 more
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Coherent Precipitation — Phase Field Method
2005Phase transformation is still the most efficient and effective way to produce various microstructures at mesoscales, and to control their evolution over time. In crystalline solids, phase transformations are usually accompanied by coherency strain generated by lattice misfit between coexisting phases.
C. Shen, Y. Wang
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A phase-field method for shape optimization of incompressible flows
Computers & Mathematics with Applications, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Futuan Li, Xianliang Hu
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Phase-field modeling by the method of lattice Boltzmann equations
Physical Review E, 2010In this paper, at first, a lattice Boltzmann method for binary fluids, which is applicable at low viscosity values, is developed. The presented scheme is extension of the free-energy-based approach to a multi-relaxation-time collision model. Various benchmark problems such as the well-known Laplace law for stationary bubbles and capillary-wave test are
Fakhari, Abbas, Rahimian, Mohammad H.
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From Classical Thermodynamics to Phase-Field Method
Progress in Materials Science, 2022Yuhong Zhao, Long-Qing Chen
exaly
Adaptive Phase Field Method Using Novel Physics Based Refinement Criteria
Computer Methods in Applied Mechanics and Engineering, 2021Haim Waisman, Sundararajan Natarajan
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A Phase Field Numerical Manifold Method for Crack Propagation in Quasi-Brittle Materials
Engineering Fracture Mechanics, 2021Yongtao Yang, Hong Zheng
exaly
An Effective Phase Field Method for Topology Optimization Without the Curvature Effects
Computers and Mathematics With Applications, 2023Yibao Li, Qing Xia, Wenxuan Xie
exaly
Accurate Conservative Phase-Field Method for Simulation of Two-Phase Flows
Journal of Computational Physics, 2022Suhas S Jain
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