Cahn-Hilliard on Surfaces: A Numerical Study
arXiv:1612.00769 · doi:10.1016/j.aml.2017.02.021
Abstract
The Cahn-Hilliard system has been used to describe a wide number of phase separation processes, from co-polymer systems to lipid membranes. In this work the convergence properties of a closest-point based scheme is investigated. In place of solving the original fourth-order system directly, two coupled second-order systems are solved. The system is solved using an incomplete Schur-decomposition as a preconditioner. The results indicate that with a sufficiently high-order time discretization the method only depends on the underlying spatial resolution.
Cited by in corpus (5)
- A Meshfree Generalized Finite Difference Method for Surface PDEs
- A least-squares implicit RBF-FD closest point method and applications to PDEs on moving surfaces
- Numerical modelling of phase separation on dynamic surfaces
- Transport Phenomena in Fluid Films with Curvature Elasticity
- A Closest Point Method for PDEs on Manifolds with Interior Boundary Conditions for Geometry Processing