Energy-stable linear schemes for polymer-solvent phase field models

被引：8
作者：
Strasser, Paul J. [1 ]
Tierra, Giordano [2 ]
Duenweg, Burkhard [3 ]
Lukacova-Medvid'ova, Maria [1 ]
机构：
[1] Johannes Gutenberg Univ Mainz, Inst Math, Staudingerweg 9, D-55128 Mainz, Germany
[2] Temple Univ, Dept Math, 1805 N Broad St, Philadelphia, PA 19122 USA
[3] Max Planck Inst Polymer Res, Ackermannweg 10, D-55128 Mainz, Germany
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2019年 / 77卷 / 01期
关键词：
Two-phase flows; Non-Newtonian; Cahn-Hilliard; Oldroyd-B; Free energy dissipation; Linear schemes; SPLITTING SCHEMES; OLDROYD-B; FLOWS; EXISTENCE; FLUIDS;
D O I：
10.1016/j.camwa.2018.09.018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present new linear energy-stable numerical schemes for numerical simulation of complex polymer-solvent mixtures. The mathematical model proposed by Zhou et al. (2006) consists of the Cahn-Hilliard equation which describes dynamics of the interface that separates polymer and solvent and the Oldroyd-B equations for the hydrodynamics of polymeric mixtures. The model is thermodynamically consistent and dissipates free energy. Our main goal in this paper is to derive numerical schemes for the polymer-solvent mixture model that are energy dissipative and efficient in time. To this end we will propose several problem-suited time discretizations yielding linear schemes and discuss their properties. (C) 2018 Elsevier Ltd. All rights reserved.
引用
收藏
页码：125 / 143
页数：19
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