Multi-component Cahn-Hilliard system with different boundary conditions in complex domains

DOI10.1016/j.jcp.2016.07.017zbMath1415.65219OpenAlexW2499761122MaRDI QIDQ2424409

Junseok Kim, Yibao Li, Jung-il Choi

Publication date: 24 June 2019

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2016.07.017

zbMATH Keywords

adaptive mesh refinementnonlinear multigrid methodboundary conditioncomplex domainmulticomponent Cahn-Hilliard systempractically unconditionally gradient stable scheme

Mathematics Subject Classification ID

Multiphase and multicomponent flows (76T99) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

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Cites Work

• A conservative numerical method for the Cahn-Hilliard equation with Dirichlet boundary conditions in complex domains
• Accurate contact angle boundary conditions for the Cahn-Hilliard equations
• Isogeometric analysis of the advective Cahn-Hilliard equation: spinodal decomposition under shear flow
• An adaptive multigrid algorithm for simulating solid tumor growth using mixture models
• A conservative numerical method for the Cahn-Hilliard equation in complex domains
• A generalized continuous surface tension force formulation for phase-field models for multi-component immiscible fluid flows
• A Cartesian grid method for solving the two-dimensional streamfunction-vorticity equations in irregular regions
• An immersed boundary method for complex incompressible flows
• Phase field computations for ternary fluid flows
• An immersed boundary method with formal second-order accuracy and reduced numerical viscosity
• Three-dimensional multispecies nonlinear tumor growth. I: Model and numerical method
• A multi-phase-field model of eutectic and peritectic alloys: Numerical simulation of growth structures
• Spinodal decomposition for multicomponent Cahn-Hilliard systems
• A phase-field fluid modeling and computation with interfacial profile correction term
• Nonlinear simulations of solid tumor growth using a mixture model: invasion and branching
• A nonstiff, adaptive mesh refinement-based method for the Cahn-Hilliard equation
• Diffuse interface model for incompressible two-phase flows with large density ratios
• Adaptive mesh refinement for simulation of thin film flows
• Inpainting of Binary Images Using the Cahn–Hilliard Equation
• Approximation of Cahn-Hilliard diffuse interface models using parallel adaptive mesh refinement and coarsening withC¹elements
• Systems of Cahn–Hilliard Equations
• Free Energy of a Nonuniform System. I. Interfacial Free Energy
• On the reinitialization procedure in a narrow-band locally refined level set method for interfacial flows
• Diffusional phase transitions in multicomponent systems with a concentration dependent mobility matrix
• A sharp interface Cartesian grid method for simulating flows with complex moving boundaries

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