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Numerical Algorithms
Published in: Numerical Algorithms 2/2021

22-05-2020 | Original Paper

Efficient, non-iterative, and decoupled numerical scheme for a new modified binary phase-field surfactant system

Authors: Chen Xu, Chuanjun Chen, Xiaofeng Yang

Published in: Numerical Algorithms | Issue 2/2021

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Abstract

We consider in this paper numerical approximations of a Cahn-Hilliard binary phase-field fluid-surfactant model. By adding a quartic form of the gradient potential, we first modify the commonly used total free energy into a form which is bounded from below and establish the energy law for the new system. Then we develop a stabilized-SAV scheme that combines the SAV approach with the stabilization technique, where a crucial linear stabilization term is added to enhance the stability thus allowing large time steps. With many desired properties such as a second-order in time, totally decoupled, linear, and non-iterative, this scheme is unconditionally energy stable and requires solving only four decoupled and linear biharmonic equations with constant coefficients at each time step. We further prove the energy stability and present numerous 2D and 3D numerical simulations to demonstrate the accuracy and stability of the developed scheme
previous article Near-optimal tension parameters in convexity preserving interpolation by generalized cubic splines
next article Fast and stable evaluation of splines and their derivatives generated by the seven-direction quartic box-spline

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Metadata
Title
Efficient, non-iterative, and decoupled numerical scheme for a new modified binary phase-field surfactant system
Authors
Chen Xu
Chuanjun Chen
Xiaofeng Yang
Publication date
22-05-2020
Publisher
Springer US
Published in
Numerical Algorithms / Issue 2/2021
Print ISSN: 1017-1398
Electronic ISSN: 1572-9265
DOI
https://doi.org/10.1007/s11075-020-00915-8

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