Journal
COMPUTER PHYSICS COMMUNICATIONS
Volume 261, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.cpc.2021.107825
Keywords
New S-SAV approach; Modified phase-field surfactant; Second-order accuracy; Energy stability
Funding
- China Scholarship Council [201908260060]
- Basic Science Research Program through the National Research Foundation of Korea (NRF) - Ministry of Education, South Korea [NRF-2019R1A2C1003053]
Ask authors/readers for more resources
This article introduces a new numerical method for a modified phase-field surfactant model, which is simple, efficient, and energy stable. By decoupling the phase-field, surfactant, and auxiliary variables, the whole system can be solved step by step.
In this article, we develop a new linear, decoupled, second-order accurate, and energy stable numerical method for a modified phase-field surfactant model (Xu et al., 2020). The proposed scheme is a simple and efficient variant of stabilized-scalar auxiliary variable (S-SAV) method. The proposed scheme not only retains all advantages of S-SAV method but also simplifies the solution algorithm. The phase-field, surfactant, and auxiliary variables are totally decoupled in time, thus we can solve the whole system in a step-by-step manner. The phase-field function phi and surfactant. can be separately updated by solving two linear semi-implicit systems with constant coefficients and then the auxiliary variable is directly updated in an explicit way. We analytically prove the energy stability and the unique solvability of the proposed method. The numerical experiments show the desired temporal accuracy and energy stability. We numerically investigate the proper stabilization coefficients for the present scheme with specific parameters. Furthermore, various two- and three-dimensional benchmark tests are performed to study the dynamics of surfactant-laden phase separation. (C) 2021 Elsevier B.V. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available