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arXiv · 1709.10434

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

Paul J. Strasser·Giordano Tierra·Burkhard Dünweg·Mária Lukáčová-Medvid'ová
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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.

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Paul J. Strasser, Giordano Tierra, Burkhard Dünweg, Mária Lukáčová-Medvid'ová. 2017-09-29. Energy-stable linear schemes for polymer-solvent phase field models. https://doi.org/10.1016/j.camwa.2018.09.018

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