Improved time integration for phase-field crystal models of solidification

TL;DR

This paper enhances the numerical time integration methods for phase-field crystal models of solidification, significantly improving accuracy and extending the approach to temperature-coupled models.

Contribution

It introduces an optimized time-stabilization routine that boosts accuracy by several orders and applies it to temperature-dependent PFC models.

Findings

Improved accuracy of time integration schemes by a few orders

Effective extension to temperature-coupled PFC models

Demonstrated robustness through numerical experiments

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.