Doubly degenerate diffuse interface models of anisotropic surface diffusion

Research output: Contribution to journalResearch articleContributedpeer-review

Contributors

  • Marco Salvalaglio - , TUD Dresden University of Technology (Author)
  • Maximilian Selch - , TUD Dresden University of Technology (Author)
  • Axel Voigt - , TUD Dresden University of Technology (Author)
  • Steven M. Wise - , University of Tennessee, Knoxville (Author)

Abstract

We extend the doubly degenerate Cahn-Hilliard (DDCH) models for isotropic surface diffusion, which yield more accurate approximations than classical degenerate Cahn-Hilliard (DCH) models, to the anisotropic case. We consider both weak and strong anisotropies and demonstrate the capabilities of the approach for these cases numerically. The proposed model provides a variational and energy dissipative approach for anisotropic surface diffusion, enabling large-scale simulations with material-specific parameters.

Details

Original languageEnglish
Pages (from-to)5406-5417
Number of pages12
JournalMathematical Methods in the Applied Sciences
Volume44
Issue number7
Publication statusPublished - 15 May 2021
Peer-reviewedYes
Externally publishedYes

External IDs

Scopus 85097852332
ORCID /0000-0002-4217-0951/work/142237388

Keywords

Keywords

  • anisotropy, degenerate Cahn&#8211, Hilliard equation, surface diffusion, PHASE-FIELD MODEL, CAHN-HILLIARD EQUATION, FINITE-ELEMENT-METHOD, DISCRETE SCHEME, EVOLUTION, EQUILIBRIUM, SIMULATIONS, GROWTH, ENERGY, FILMS