期刊
COMPUTERS & MATHEMATICS WITH APPLICATIONS
卷 77, 期 1, 页码 125-143出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2018.09.018
关键词
Two-phase flows; Non-Newtonian; Cahn-Hilliard; Oldroyd-B; Free energy dissipation; Linear schemes
资金
- German Science Foundation (DFG) [TRR-SFB 146]
- Ministerio de Economia y Competitividad, Spain [MTM2015-69875-P]
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.
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