Energy-stable linear schemes for polymer-solvent phase field models
Numerical Analysis
2018-12-07 v2
Abstract
We present new linear energy-stable numerical schemes for numerical simulation of complex polymer-solvent mixtures. The mathematical model proposed by Zhou, Zhang and E (Physical Review E 73, 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.
Keywords
Cite
@article{arxiv.1709.10434,
title = {Energy-stable linear schemes for polymer-solvent phase field models},
author = {Paul J. Strasser and Giordano Tierra and Burkhard Dünweg and Mária Lukáčová-Medvid'ová},
journal= {arXiv preprint arXiv:1709.10434},
year = {2018}
}