Multiphase Allen-Cahn and Cahn-Hilliard models and their discretizations with the effect of pairwise surface tensions
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Publication:1693429
DOI10.1016/j.jcp.2017.04.039zbMath1380.65208arXiv1602.08649OpenAlexW2291607696MaRDI QIDQ1693429
Publication date: 31 January 2018
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1602.08649
PDEs in connection with fluid mechanics (35Q35) 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) Three or more component flows (76T30)
Related Items (13)
A consistent and conservative model and its scheme for \(N\)-phase-\(M\)-component incompressible flows ⋮ Multiphase flows of \(N\) immiscible incompressible fluids: a reduction-consistent and thermodynamically-consistent formulation and associated algorithm ⋮ A consistent and conservative phase-field method for multiphase incompressible flows ⋮ Analysis of the Morley element for the Cahn–Hilliard equation and the Hele-Shaw flow ⋮ A conservative second order phase field model for simulation of \(N\)-phase flows ⋮ Stationary solutions and large time asymptotics to a cross-diffusion-Cahn-Hilliard system ⋮ Multiphase flows of \(N\) immiscible incompressible fluids: an outflow/open boundary condition and algorithm ⋮ A roadmap for discretely energy-stable schemes for dissipative systems based on a generalized auxiliary variable with guaranteed positivity ⋮ On the stability and accuracy of partially and fully implicit schemes for phase field modeling ⋮ Three-Phase Model of Visco-Elastic Incompressible Fluid Flow and its Computational Implementation ⋮ Existence of weak solutions to a cross-diffusion Cahn-Hilliard type system ⋮ Reduction-consistent Cahn-Hilliard theory based lattice Boltzmann equation method for \(N\) immiscible incompressible fluids ⋮ A fully-discrete decoupled finite element method for the conserved Allen-Cahn type phase-field model of three-phase fluid flow system
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