6533b85dfe1ef96bd12be97c
RESEARCH PRODUCT
Energy-stable linear schemes for polymer-solvent phase field models
Paul StrasserBurkhard DünwegGiordano TierraMaria Lukacova-medvidovasubject
chemistry.chemical_classificationQuantitative Biology::BiomoleculesComputer simulationPhase field modelsNumerical Analysis (math.NA)010103 numerical & computational mathematicsPolymerMixture model01 natural sciences010101 applied mathematicsSolventCondensed Matter::Soft Condensed MatterComputational MathematicsComputational Theory and MathematicschemistryModeling and SimulationFOS: MathematicsDissipative systemStatistical physicsMathematics - Numerical Analysis0101 mathematicsEnergy (signal processing)Mathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-09-29 |