KMS Of Academy of mathematics and systems sciences, CAS
| Parallel energy-stable phase field crystal simulations based on domain decomposition methods | |
Wei, Ying1; Yang, Chao2,3; Huang, Jizu4,5
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| 2019 | |
| Source Publication | COMPUTER PHYSICS COMMUNICATIONS
 |
| ISSN | 0010-4655 |
| Volume | 234Pages:26-39 |
| Abstract | In this paper, we present a parallel numerical algorithm for solving the phase field crystal equation. In the algorithm, a semi-implicit finite difference scheme is derived based on the discrete variational derivative method. Theoretical analysis is provided to show that the scheme is unconditionally energy stable and can achieve second-order accuracy in both space and time. An adaptive time step strategy is adopted such that the time step size can be flexibly controlled based on the dynamical evolution of the problem. At each time step, a nonlinear algebraic system is constructed from the discretization of the phase field crystal equation and solved by a domain decomposition based, parallel Newton-Krylov-Schwarz method with improved boundary conditions for subdomain problems. Numerical experiments with several two and three dimensional test cases show that the proposed algorithm is second-order accurate in both space and time, energy stable with large time steps, and highly scalable to over ten thousands processor cores on the Sunway TaihuLight supercomputer. (C) 2018 Elsevier B.V. All rights reserved. |
| Keyword | Phase field crystal equation Discrete variational derivative method Unconditionally energy stable scheme Domain decomposition method |
| DOI | 10.1016/j.cpc.2018.08.006 |
| Language | 英语 |
| Funding Project | National Key R&D Program of China[2017YFB0701501] ; National Key R&D Program of China[2016YFB0200603] ; National Natural Science Foundation of China[91530323] ; National Natural Science Foundation of China[11501554] |
| WOS Research Area | Computer Science ; Physics |
| WOS Subject | Computer Science, Interdisciplinary Applications ; Physics, Mathematical |
| WOS ID | WOS:000449126400003 |
| Publisher | ELSEVIER SCIENCE BV |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/31674 |
| Collection | 计算数学与科学工程计算研究所 |
| Corresponding Author | Yang, Chao |
| Affiliation | 1.Chinese Acad Sci, Inst Software, Beijing 100190, Peoples R China 2.Peking Univ, CCSE DSEC & CAPT, Sch Math Sci, Beijing 100871, Peoples R China 3.Peking Univ, NELVT, Beijing 100871, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China 5.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| Recommended Citation GB/T 7714 | Wei, Ying,Yang, Chao,Huang, Jizu. Parallel energy-stable phase field crystal simulations based on domain decomposition methods[J]. COMPUTER PHYSICS COMMUNICATIONS,2019,234:26-39. |
| APA | Wei, Ying,Yang, Chao,&Huang, Jizu.(2019).Parallel energy-stable phase field crystal simulations based on domain decomposition methods.COMPUTER PHYSICS COMMUNICATIONS,234,26-39. |
| MLA | Wei, Ying,et al."Parallel energy-stable phase field crystal simulations based on domain decomposition methods".COMPUTER PHYSICS COMMUNICATIONS 234(2019):26-39. |
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