Decoupled, energy stable schemes for a phase-field surfactant model
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Type
ArticleKAUST Department
Computational Transport Phenomena LabEarth Science and Engineering Program
Physical Science and Engineering (PSE) Division
KAUST Grant Number
BAS/1/1351-01-01Date
2018-07-18Online Publication Date
2018-07-18Print Publication Date
2018-12Permanent link to this record
http://hdl.handle.net/10754/628802
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In this paper, we construct several linear, decoupled and energy stable schemes for a phase-field surfactant model, in which the free energy functional contains a fourth-order Ginzburg–Landau double well potential, a logarithmic Flory–Huggins potential and two nonlinear coupling terms. Several scalar auxiliary variables (SAV) are introduced to transform the governing system into an equivalent form, allowing the nonlinear potentials to be treated efficiently and semi-explicitly. At each time step, the schemes involve solving only two linear elliptic differential equations, and computations of two phase-field variables are totally decoupled. Moreover, the local concentration of surfactants can be obtained in an “explicit” way. We further establish a rigorous proof of unconditional energy stability for the semi-implicit schemes. Numerical results in both two and three dimensions are obtained, which demonstrate that the proposed schemes are accurate, efficient, easy-to-implement and unconditionally energy stable.Citation
Zhu G, Kou J, Sun S, Yao J, Li A (2018) Decoupled, energy stable schemes for a phase-field surfactant model. Computer Physics Communications 233: 67–77. Available: http://dx.doi.org/10.1016/j.cpc.2018.07.003.Sponsors
Jun Yao and Guangpu Zhu acknowledge that this work was supported by the National Science and Technology Major Project (2016ZX05011-001), the NSF of China (51490654, 51504276, and 51304232), and the Innovative Project of China University of Petroleum (YCX2017021). The work of Shuyu Sun and Jisheng Kou was supported by the KAUST research fund awarded to the Computational Transport Phenomena Laboratory at KAUST through the Grant BAS/1/1351-01-01.Publisher
Elsevier BVJournal
Computer Physics CommunicationsAdditional Links
http://www.sciencedirect.com/science/article/pii/S0010465518302522ae974a485f413a2113503eed53cd6c53
10.1016/j.cpc.2018.07.003