A conservative finite difference scheme for the \(N\)-component Cahn-Hilliard system on curved surfaces in 3D
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Publication:1989236
DOI10.1007/s10665-019-10023-9zbMath1436.65115OpenAlexW2983187925WikidataQ126815891 ScholiaQ126815891MaRDI QIDQ1989236
Chaeyoung Lee, Junxiang Yang, Darae Jeong, Junseok Kim, Yibao Li
Publication date: 24 April 2020
Published in: Journal of Engineering Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10665-019-10023-9
PDEs in connection with fluid mechanics (35Q35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)
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Cites Work
- Solving eigenvalue problems on curved surfaces using the closest point method
- A generalized continuous surface tension force formulation for phase-field models for multi-component immiscible fluid flows
- Finite element approximation of the Cahn-Hilliard equation on surfaces
- An improvement of a recent Eulerian method for solving PDEs on general geometries
- Numerical simulation of the zebra pattern formation on a three-dimensional model
- Direct discretization method for the Cahn-Hilliard equation on an evolving surface
- Two-dimensional Kelvin-Helmholtz instabilities of multi-component fluids
- Buoyancy-driven mixing of multi-component fluids in two-dimensional tilted channels
- Basic principles and practical applications of the Cahn-Hilliard equation
- Three-dimensional multispecies nonlinear tumor growth. I: Model and numerical method
- Comparison between two meshless methods based on collocation technique for the numerical solution of four-species tumor growth model
- An unconditionally energy-stable second-order time-accurate scheme for the Cahn-Hilliard equation on surfaces
- A practical and efficient numerical method for the Cahn-Hilliard equation in complex domains
- An efficient linear second order unconditionally stable direct discretization method for the phase-field crystal equation on surfaces
- Modeling coating flow and surfactant dynamics inside the alveolar compartment
- Multi-component Cahn-Hilliard system with different boundary conditions in complex domains
- A simple embedding method for solving partial differential equations on surfaces
- Fourth order partial differential equations on general geometries
- The Implicit Closest Point Method for the Numerical Solution of Partial Differential Equations on Surfaces
- Topology Optimization of Capillary, Two-Phase Flow Problems
- A Flux-Corrected Phase-Field Method for Surface Diffusion
- A Conservative Numerical Method for the Cahn–Hilliard Equation with Generalized Mobilities on Curved Surfaces in Three-Dimensional Space
