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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
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A phase field numerical manifold method for crack propagation in quasi-brittle materials
Engineering Fracture Mechanics, 2021Yongtao Yang, Hong Zheng
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Accurate conservative phase-field method for simulation of two-phase flows
Journal of Computational Physics, 2022Suhas S Jain
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An effective phase field method for topology optimization without the curvature effects
Computers and Mathematics With Applications, 2023Yibao Li, Qing Xia, Wenxuan Xie
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Adaptive phase field method using novel physics based refinement criteria
Computer Methods in Applied Mechanics and Engineering, 2021Haim Waisman, S Natarajan
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Mapped phase field method for brittle fracture
Computer Methods in Applied Mechanics and Engineering, 2021Sheng Mao +2 more
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A life prediction method of mechanical structures based on the phase field method and neural network
Applied Mathematical Modelling, 2023Wenliao Du +2 more
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