Sharp phase-field modeling of isotropic solidification with a super efficient spatial resolution
Materials Science
2022-02-22 v3 Pattern Formation and Solitons
Computational Physics
Abstract
The numerical resolution efficiency of phase-field models is limited by grid friction, grid anisotropy and pinning. The 1D sharp phase-field model eliminates grid friction and pinning by a global restoration of Translational Invariance (TI) in the discretized phase-field equation (Phys. Rev. Lett. 121, 025501, 2018). In 3D global TI restricts the beneficial modeling properties to a finite number of fixed interface orientations. We propose an accurate scheme to restore TI locally in the local interface normal direction. At one-grid-point interface resolutions, the new model captures the formation of isotropic seaweed structures without spurious dendritic selection by grid anisotropy.
Cite
@article{arxiv.2202.07433,
title = {Sharp phase-field modeling of isotropic solidification with a super efficient spatial resolution},
author = {Michael Fleck and Felix Schleifer},
journal= {arXiv preprint arXiv:2202.07433},
year = {2022}
}
Comments
9 pages, 7 figures, 1 table, 2 supplementary animations