PARALLEL ENERGY-STABLE SOLVER FOR A COUPLED ALLEN-CAHN AND CAHN-HILLIARD SYSTEM

doi:10.1137/20M1331160

CSpace

	PARALLEL ENERGY-STABLE SOLVER FOR A COUPLED ALLEN-CAHN AND CAHN-HILLIARD SYSTEM
	Huang, Jizu 1,2; Yang, Chao 3; Wei, Ying 4
	2020
发表期刊	SIAM JOURNAL ON SCIENTIFIC COMPUTING
ISSN	1064-8275
卷号	42 期号:5 页码:C294-C312
摘要	In this paper, we study numerical methods for solving the coupled Allen-Cahn/Cahn-Hilliard system associated with a free energy functional of logarithmic type. To tackle the challenge posed by the special free energy functional, we propose a method to approximate the discrete variational derivatives in polynomial forms, such that the corresponding finite difference scheme is unconditionally energy stable and the energy dissipation law is maintained. To further improve the performance of the algorithm, a modified adaptive time stepping strategy is adopted such that the time step size can be flexibly controlled based on the dynamical evolution of the problem. To achieve high performance on parallel computers, we introduce a domain decomposition based, parallel Newton-Krylov-Schwarz method to solve the nonlinear algebraic system constructed from the discretization at each time step. Numerical experiments 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.
关键词	coupled Allen-Cahn/Cahn-Hilliard system discrete variational derivative method unconditionally energy stable scheme Newton-Krylov-Schwarz domain decomposition method
DOI	10.1137/20M1331160
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11871069] ; Beijing Natural Science Foundation[JQ18001] ; Beijing Academy of Artificial Intelligence
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000600650100050
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/57911
专题	中国科学院数学与系统科学研究院
通讯作者	Yang, Chao
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 4.Chinese Acad Sci, Inst Software, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Huang, Jizu,Yang, Chao,Wei, Ying. PARALLEL ENERGY-STABLE SOLVER FOR A COUPLED ALLEN-CAHN AND CAHN-HILLIARD SYSTEM[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING,2020,42(5):C294-C312.
APA	Huang, Jizu,Yang, Chao,&Wei, Ying.(2020).PARALLEL ENERGY-STABLE SOLVER FOR A COUPLED ALLEN-CAHN AND CAHN-HILLIARD SYSTEM.SIAM JOURNAL ON SCIENTIFIC COMPUTING,42(5),C294-C312.
MLA	Huang, Jizu,et al."PARALLEL ENERGY-STABLE SOLVER FOR A COUPLED ALLEN-CAHN AND CAHN-HILLIARD SYSTEM".SIAM JOURNAL ON SCIENTIFIC COMPUTING 42.5(2020):C294-C312.