Phase-Field Model with Reduced Interface Diffuseness

TL;DR

This paper introduces a phase-field model that reduces interface diffuseness using a parabolic double-well potential and localized solute redistribution, achieving accurate results comparable to existing models while suppressing interfacial effects.

Contribution

The model employs a parabolic potential and localized redistribution to minimize interface diffuseness, improving numerical accuracy and extending applicability to multi-component systems.

Findings

Quantitative agreement with anti-trapping model in dendritic solidification

Effective suppression of anomalous interfacial effects

Model works well despite discontinuous diffusivity and cusped potential

Abstract

We minimized the interface diffuseness in the phase-field models by introducing the parabolic double-well potential and localizing the solute redistribution (or latent heat release) into a narrow region within the phase-field interface. In spite of the parabolic potential with cusps, highly localized solute redistribution and discontinuous diffusivity function adopted in this model, it works remarkably well in numerical computations. The computations on dendritic solidification of an one-sided system yield quantitatively the same results with the anti-trapping model [A. Karma, Phys. Rev. Lett. 87, 115701 (2001)], indicating the anomalous interfacial effects can be effectively suppressed. This approach can be easily extended to the multi-components or multi-phases system.