Efficient and energy stable scheme for the hydrodynamically coupled three components Cahn-Hilliard phase-field model using the stabilized-Invariant Energy Quadratization (S-IEQ) Approach

JOURNAL OF COMPUTATIONAL PHYSICS

卷:438

Article

Yang, Xiaofeng¹ 

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

关键词: Second-order;    Phase-field;    Cahn-Hilliard;    Three-phase;    Unconditional energy stability;    Stabilized-IEQ;   

DOI  :  10.1016/j.jcp.2021.110342

来源: Elsevier

【 摘 要 】

In this paper, we consider numerical approximations for solving the hydrodynamically coupled three components Cahn-Hilliard phase-field model. By combining the Invariant Energy Quadratization approach with the stabilization technique, and the projection method for the Navier-Stokes equations, we obtain a linear, second-order, and unconditionally energy stable time marching scheme. We present rigorous proofs for the well-posedness of the obtained linear system and the unconditional energy stability. Various 2D and 3D numerical simulations are implemented to demonstrate the stability and accuracy of the scheme thereafter. (C) 2021 Elsevier Inc. All rights reserved.

【 授权许可】

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