Fast and accurate algorithms for simulating coarsening dynamics of cahn-hilliard equations
文献类型:期刊论文
作者 | Ju, Lili1; Zhang, Jian2; Du, Qiang3,4,5 |
刊名 | Computational materials science
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出版日期 | 2015-10-01 |
卷号 | 108页码:272-282 |
关键词 | Phase field model Cahn-hilliard equation Variable mobility Coarsening rate Fast fourier transform |
ISSN号 | 0927-0256 |
DOI | 10.1016/j.commatsci.2015.04.046 |
通讯作者 | Du, qiang(qd2125@columbia.edu) |
英文摘要 | Numerical simulation of microstructure coarsening is a subject of great interest in computational materials science. the coarsening dynamics in a binary mixture can be modeled by the celebrated cahn-hilliard equations. to perform efficient and accurate long-time integrations, we develop a fast and stable high order numerical method for solving cahn-hilliard equations. the spatial discretization is carried out by the compact central difference scheme with fft-based fast implementation while the time integration is done through the accurate exponential time differencing multistep approach. we demonstrate the effectiveness of the proposed method by numerical experiments and study computationally the coarsening kinetics corresponding to different choices of the diffusion mobility. (c) 2015 elsevier b.v. all rights reserved. |
WOS关键词 | INTEGRATION FACTOR METHODS ; FOURIER-SPECTRAL METHOD ; PHASE-FIELD-EQUATIONS ; MOVING MESH METHOD ; EXPONENTIAL INTEGRATORS ; PARABOLIC EQUATIONS ; DIFFUSION MOBILITY ; ALLEN-CAHN ; SYSTEMS ; ENERGY |
WOS研究方向 | Materials Science |
WOS类目 | Materials Science, Multidisciplinary |
语种 | 英语 |
WOS记录号 | WOS:000359644400002 |
出版者 | ELSEVIER SCIENCE BV |
URI标识 | http://www.irgrid.ac.cn/handle/1471x/2374168 |
专题 | 计算机网络信息中心 |
通讯作者 | Du, Qiang |
作者单位 | 1.Univ S Carolina, Dept Math, Columbia, SC 29208 USA 2.Chinese Acad Sci, Comp Network Informat Ctr, Beijing 100080, Peoples R China 3.Columbia Univ, Dept Appl Phys & Appl Math, New York, NY 10027 USA 4.Penn State Univ, Dept Math, University Pk, PA 16802 USA 5.Penn State Univ, Dept Mat Sci & Engn, University Pk, PA 16802 USA |
推荐引用方式 GB/T 7714 | Ju, Lili,Zhang, Jian,Du, Qiang. Fast and accurate algorithms for simulating coarsening dynamics of cahn-hilliard equations[J]. Computational materials science,2015,108:272-282. |
APA | Ju, Lili,Zhang, Jian,&Du, Qiang.(2015).Fast and accurate algorithms for simulating coarsening dynamics of cahn-hilliard equations.Computational materials science,108,272-282. |
MLA | Ju, Lili,et al."Fast and accurate algorithms for simulating coarsening dynamics of cahn-hilliard equations".Computational materials science 108(2015):272-282. |
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来源:计算机网络信息中心
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