Frictionless motion of diffuse interfaces by sharp phase-field modeling

TL;DR

This paper introduces the Sharp Phase-Field Method (SPFM), which eliminates spurious grid friction in diffuse interface modeling, enabling accurate and frictionless interface motion in three-dimensional simulations.

Contribution

The paper presents SPFM, a novel approach that restores translational invariance in phase-field models, significantly reducing grid friction effects in 3D diffuse interface simulations.

Findings

SPFM effectively eliminates spurious grid friction in 3D.

It improves interface isotropy in energy and kinetics.

Enables frictionless motion of diffuse interfaces regardless of orientation.

Abstract

Diffuse interface descriptions offer many advantages for the modeling of microstructure evolution. However, the numerical representation of moving diffuse interfaces on discrete numerical grids involves spurious grid friction, which limits the overall performance of the model in many respects. Interestingly, this intricate and detrimental effect can be overcome in Finite Difference (FD) and Fast Fourier Transformation (FFT) based implementations by employing the so-called Sharp Phase-Field Method (SPFM). The key idea is to restore the discretization induced broken Translational Invariance (TI) in the discrete phase-field equation by using analytic properties of the equilibrium interface profile. We proof that this method can indeed eliminate spurious grid friction in the three dimensional space. Focussing on homogeneous driving forces, we quantitatively evaluate the impact of spurious grid friction on the overall operational performance of different phase-field models. We show that the SPFM provides superior degrees of interface isotropy with respect to energy and kinetics. The latter property enables the frictionless motion of arbitrarily oriented diffuse interfaces on a fixed 3D grid.