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Fast simulations of a large number of crystals growth in centimeter-scale during alloy solidification via nonlinearly preconditioned quantitative phase-field formula
Gong, TZ; Chen, Y; Cao, YF; Kang, XH; Li, DZ; Chen, Y (reprint author), Chinese Acad Sci, Inst Met Res, Shenyang Natl Lab Mat Sci, Shenyang 110016, Liaoning, Peoples R China.
2018-05-01
Source PublicationCOMPUTATIONAL MATERIALS SCIENCE
ISSN0927-0256
Volume147Pages:338-352
AbstractAmeliorating the computing efficiency is always of importance in phase-field simulations of material microstructure formation and evolution. Borrowing from the nonlinear preconditioning treatment of diffuse interface models, the usual quantitative phase-field model for a binary alloy has been transformed to make it easier to compute accurately. The transformation yields a new variable whose value changes linearly across the interface. The dependences of simulated results of the nonlinearly preconditioned phase-field formula on the interface grid size and the discretization time step have been examined in detail through numerical experiments, including the growth velocity, the radius and the solute concentration of a steady tip. The results show that the new evolution equations are able to be solved on a computational mesh with interface grids 2-4 times coarser than those used in the conventional method. In combination with the front-tracking method to capture the crystallographic orientation of each crystal, the orientation gradient energy is incorporated into the nonlinearly preconditioned phase-field model, which enables simulations of grain boundary behaviors. The algorithm of the distributed parallel finite element method on an adaptive mesh is applied to further raise the computing efficiency. Simulations of multidendrites growth of Al-4 wt.% Cu alloy in undercooled melt cooling down continuously are performed. The results demonstrate that the proposed fast simulation approaches allow quantitative simulations of a large number of dendrites growth on the scale of centimeters or millimeters, respectively in two or three dimensions, just using an ordinary workstation instead of clusters or supercomputers. (C) 2018 Elsevier B.V. All rights reserved.; Ameliorating the computing efficiency is always of importance in phase-field simulations of material microstructure formation and evolution. Borrowing from the nonlinear preconditioning treatment of diffuse interface models, the usual quantitative phase-field model for a binary alloy has been transformed to make it easier to compute accurately. The transformation yields a new variable whose value changes linearly across the interface. The dependences of simulated results of the nonlinearly preconditioned phase-field formula on the interface grid size and the discretization time step have been examined in detail through numerical experiments, including the growth velocity, the radius and the solute concentration of a steady tip. The results show that the new evolution equations are able to be solved on a computational mesh with interface grids 2-4 times coarser than those used in the conventional method. In combination with the front-tracking method to capture the crystallographic orientation of each crystal, the orientation gradient energy is incorporated into the nonlinearly preconditioned phase-field model, which enables simulations of grain boundary behaviors. The algorithm of the distributed parallel finite element method on an adaptive mesh is applied to further raise the computing efficiency. Simulations of multidendrites growth of Al-4 wt.% Cu alloy in undercooled melt cooling down continuously are performed. The results demonstrate that the proposed fast simulation approaches allow quantitative simulations of a large number of dendrites growth on the scale of centimeters or millimeters, respectively in two or three dimensions, just using an ordinary workstation instead of clusters or supercomputers. (C) 2018 Elsevier B.V. All rights reserved.
description.department[gong, tong zhao ; chen, yun ; cao, yan fei ; kang, xiu hong ; li, dian zhong] chinese acad sci, inst met res, shenyang natl lab mat sci, shenyang 110016, liaoning, peoples r china ; [gong, tong zhao] univ sci & technol china, sch mat sci & engn, hefei 230026, anhui, peoples r china
KeywordX-ray Radiography Adaptive Mesh Refinement Sample Directional Solidification Al-cu Alloy Dendritic Growth Polycrystalline Solidification Efficient Computation Initial Transient Model Microstructures
Subject AreaMaterials Science, Multidisciplinary
Funding OrganizationScience Challenge Project [TZ2016004]; National Natural Science Foundation for Young Scientists of China [51401223]; National Natural Science Foundation of China [U1508215]
Indexed BySCI
Language英语
Document Type期刊论文
Identifierhttp://ir.imr.ac.cn/handle/321006/79346
Collection中国科学院金属研究所
Corresponding AuthorChen, Y (reprint author), Chinese Acad Sci, Inst Met Res, Shenyang Natl Lab Mat Sci, Shenyang 110016, Liaoning, Peoples R China.
Recommended Citation
GB/T 7714
Gong, TZ,Chen, Y,Cao, YF,et al. Fast simulations of a large number of crystals growth in centimeter-scale during alloy solidification via nonlinearly preconditioned quantitative phase-field formula[J]. COMPUTATIONAL MATERIALS SCIENCE,2018,147:338-352.
APA Gong, TZ,Chen, Y,Cao, YF,Kang, XH,Li, DZ,&Chen, Y .(2018).Fast simulations of a large number of crystals growth in centimeter-scale during alloy solidification via nonlinearly preconditioned quantitative phase-field formula.COMPUTATIONAL MATERIALS SCIENCE,147,338-352.
MLA Gong, TZ,et al."Fast simulations of a large number of crystals growth in centimeter-scale during alloy solidification via nonlinearly preconditioned quantitative phase-field formula".COMPUTATIONAL MATERIALS SCIENCE 147(2018):338-352.
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