CONVEXITY SPLITTING IN A PHASE FIELD MODEL FOR SURFACE DIFFUSION

Research output: Contribution to journalResearch articleContributedpeer-review

Contributors

Abstract

Convexity splitting like schemes with improved accuracy are proposed for a phase field model for surface diffusion. The schemes are developed to enable large scale simulations in three spatial dimensions describing experimentally observed solid state dewetting phenomena. We carefully elaborate the loss in accuracy associated with large time steps in such schemes and show the existence of a maximal numerical timestep to achieve a prescribed accuracy. We demonstrate the increase of this maximal numerical time step by at least one order of magnitude using a Rosenbrock method. This convexity splitting scheme with improved accuracy is used to study the effect of contact angle on solid state dewetting phenomena.

Details

Original languageEnglish
Pages (from-to)192-209
Number of pages18
JournalInternational journal of numerical analysis and modeling
Volume16
Issue number2
Publication statusPublished - 2019
Peer-reviewedYes

External IDs

Scopus 85055639789
ORCID /0000-0002-4217-0951/work/142237411

Keywords

Keywords

  • Convexity splitting, Rosenbrock time discretization, surface diffusion, solid-state dewetting, CAHN-HILLIARD EQUATION, FINITE-ELEMENT-METHOD, COMPLEX GEOMETRIES, DIFFERENCE SCHEME, NUMERICAL SCHEME, 2ND-ORDER, ENERGY, EVOLUTION, FLOW, CONVERGENCE