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

DOI10.1016/j.camwa.2018.09.018zbMath1442.65275arXiv1709.10434OpenAlexW2897925241MaRDI QIDQ2203717

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

Publication date: 2 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.10434

zbMATH Keywords

Cahn-Hilliardnon-Newtoniantwo-phase flowsOldroyd-Blinear schemesfree energy dissipation

Mathematics Subject Classification ID

Viscoelastic fluids (76A10) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)

Related Items (7)

A simple benchmark problem for the numerical methods of the Cahn-Hilliard equation ⋮ Global existence of weak solutions to viscoelastic phase separation part: I. Regular case ⋮ Global existence of weak solutions to viscoelastic phase separation: part II. Degenerate case ⋮ Gradient Flows for Coupling Order Parameters and Mechanics ⋮ Stability and discretization error analysis for the Cahn–Hilliard system via relative energy estimates ⋮ Dissipative spatial discretization of a phase field model of multiphase multicomponent isothermal fluid flow ⋮ On a new spatial discretization for a regularized 3D compressible isothermal Navier-Stokes-Cahn-Hilliard system of equations with boundary conditions

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