Modeling and Simulation of a Ternary System for Macromolecular Microsphere Composite Hydrogels

Modeling and Simulation of a Ternary System for Macromolecular Microsphere Composite Hydrogels

Year:    2021

Author:    Guanghua Ji, Yuqi Yang, Hui Zhang

East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 1 : pp. 93–118

Abstract

In this paper, we study a ternary system for macromolecular microsphere composite (MMC) hydrogels. Assuming that the graft chains are distributed randomly around the macromolecular microspheres, a phase transition model was constructed. The stabilised-scalar auxiliary variable (S-SAV) approach is used to present a first-order energy stable scheme for solving the nonlinear system. Some numerical experiments are carried out to show the accuracy of the scheme, including the mass conservation of the volume fractions, the decrease in the modified energy, and the influence of different parameters.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/eajam.100520.040820

East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 1 : pp. 93–118

Published online:    2021-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    26

Keywords:    MMC hydrogels ternary system unconditionally energy stable S-SAV

Author Details

Guanghua Ji

Yuqi Yang

Hui Zhang