Parallel energy-stable phase field crystal simulations based on domain decomposition methods

doi:10.1016/j.cpc.2018.08.006

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	Parallel energy-stable phase field crystal simulations based on domain decomposition methods
	Wei, Ying 1; Yang, Chao 2,3; Huang, Jizu4,5
刊名	COMPUTER PHYSICS COMMUNICATIONS
	2019
卷号	234 页码:26-39
关键词	Phase field crystal equation Discrete variational derivative method Unconditionally energy stable scheme Domain decomposition method
ISSN号	0010-4655
DOI	10.1016/j.cpc.2018.08.006
英文摘要	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.
资助项目	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研究方向	Computer Science ; Physics
语种	英语
出版者	ELSEVIER SCIENCE BV
WOS记录号	WOS:000449126400003
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/31673]
专题	计算数学与科学工程计算研究所
通讯作者	Yang, Chao
作者单位	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
推荐引用方式 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.