PARALLEL ENERGY-STABLE SOLVER FOR A COUPLED ALLEN-CAHN AND CAHN-HILLIARD SYSTEM
文献类型：期刊论文
| 作者 | Huang, Jizu1,2; Yang, Chao3; Wei, Ying4 |
| 刊名 | SIAM JOURNAL ON SCIENTIFIC COMPUTING
 |
| 出版日期 | 2020 |
| 卷号 | 42期号:5页码:C294-C312 |
| 关键词 | coupled Allen-Cahn/Cahn-Hilliard system discrete variational derivative method unconditionally energy stable scheme Newton-Krylov-Schwarz domain decomposition method |
| ISSN号 | 1064-8275 |
| DOI | 10.1137/20M1331160 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000600650100050 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/57910]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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