Decoupled energy stable schemes for phase-field vesicle membrane model

JOURNAL OF COMPUTATIONAL PHYSICS

卷:302

Article

Chen, Rui¹  Ji, Guanghua¹  Yang, Xiaofeng²  Zhang, Hui¹ 

[1] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China

[2] Univ S Carolina, Dept Math, Columbia, SC 29208 USA

关键词: Phase-field;    Multiphase flows;    Vesicle membrane;    Navier-Stokes;    Allen-Cahn;    Stability;   

DOI  :  10.1016/j.jcp.2015.09.025

来源: Elsevier

【 摘 要 】

We consider the numerical approximations of the classical phase-field vesicle membrane models proposed a decade ago in Du et al. (2004) [6]. We first reformulate the model derived from an energetic variational formulation into a form which is suitable for numerical approximation, and establish the energy dissipation law. Then, we develop a stabilized, decoupled, time discretization scheme for the coupled nonlinear system. The scheme is unconditionally energy stable and leads to linear and decoupled elliptic equations to be solved at each time step. Stability analysis and ample numerical simulations are presented thereafter. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

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