The Cahn-Hilliard equation with generalized mobilities in complex geometries

DOI10.1155/2019/1710270zbMath1435.35339OpenAlexW2997907707WikidataQ126424445 ScholiaQ126424445MaRDI QIDQ2298112

Yongho Choi, Jaemin Shin, Junseok Kim

Publication date: 20 February 2020

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2019/1710270

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Finite difference methods applied to problems in statistical mechanics (82M20)

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Comparing the convected level-set and the Allen-Cahn phase-field methods in AMR/C simulations of two-phase flows

Cites Work

• A conservative numerical method for the Cahn-Hilliard equation in complex domains
• On large time-stepping methods for the Cahn-Hilliard equation
• Phase field computations for ternary fluid flows
• Basic principles and practical applications of the Cahn-Hilliard equation
• On the use of local maximum entropy approximants for Cahn-Hilliard phase-field models in 2D domains and on surfaces
• An isogeometric finite element formulation for phase transitions on deforming surfaces
• Isogeometric analysis for phase-field models of geometric PDEs and high-order PDEs on stationary and evolving surfaces
• A numerical method for the Cahn-Hilliard equation with a variable mobility
• An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation
• Numerical Studies of the Cahn-Hilliard Equation for Phase Separation
• Free Energy of a Nonuniform System. I. Interfacial Free Energy

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