English

Improved time integration for phase-field crystal models of solidification

Materials Science 2023-07-06 v1 Computational Physics

Abstract

We optimize a numerical time-stabilization routine for the phase-field crystal (PFC) models of solidification. By numerical experiments, we showcase that our approach can improve the accuracy of underlying time integration schemes by a few orders of magnitude. We investigate different time integration schemes. Moreover, as a prototypical example for applications, we extend our numerical approach to a PFC model of solidification with an explicit temperature coupling.

Keywords

Cite

@article{arxiv.2210.04329,
  title  = {Improved time integration for phase-field crystal models of solidification},
  author = {Maik Punke and Steven M. Wise and Axel Voigt and Marco Salvalaglio},
  journal= {arXiv preprint arXiv:2210.04329},
  year   = {2023}
}

Comments

5 pages, 3 figures

R2 v1 2026-06-28T03:06:18.471Z