Energy-stable linear schemes for polymer-solvent phase field models
arXiv:1709.10434 · doi:10.1016/j.camwa.2018.09.018
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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- Existence of Weak Solutions for a Diffuse Interface Model for Two-Phase Flows of Incompressible Fluids with Different Densities
- Existence and approximation of a (regularized) Oldroyd-B model
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Cited by in corpus (4)
- Global existence of weak solutions to viscoelastic phase separation: Part I Regular Case
- Systematic derivation of hydrodynamic equations for viscoelastic phase separation
- Global existence of weak solutions to viscoelastic phase separation: Part II Degenerate Case
- Relative energy estimates for the Cahn-Hilliard equation with concentration dependent mobility