Highly efficient and stable numerical algorithm for a two-component phase-field crystal model for binary alloys

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:390

Article

Han, Shizhuan¹  Ye, Qiongwei²  Yang, Xiaofeng³ 

[1] East China Jiaotong Univ, Sch Econ & Management, Nanchang, Jiangxi, Peoples R China

[2] Yunnan Univ Finance & Econ, Sch Business, Kunming, Yunnan, Peoples R China

[3] Univ South Carolina, Dept Math, Columbia, SC 29208 USA

关键词: Binary alloy;    Phase-field crystal;    Quadratization;    Cahn-Hilliard;    Unconditional energy stability;    Second-order;   

DOI  :  10.1016/j.cam.2020.113371

来源: Elsevier

【 摘 要 】

This paper considers the numerical approximation of a two-component phase-field crystal model consisting of two coupled nonlinear Cahn-Hilliard equations of binary alloys. We develop a highly efficient time-marching scheme with second-order accuracy based on the SAV approach, in which two additional stabilization terms are introduced to improve stability, thus allowing large time steps. Unconditional energy stability is then proved strictly. By simulating a large number of numerical simulations in 2D and 3D, including binary crystal growth and phase separation with vacancies, we then verify the stability and accuracy of the scheme. (C) 2021 Elsevier B.V. All rights reserved.

【 授权许可】

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