Computationally efficient phase-field models with interface kinetics

TL;DR

This paper introduces a computationally efficient phase-field model for solidification that effectively captures interface kinetics, simplifying the parameter relation process and enabling broad applicability across material parameters.

Contribution

A new phase-field model is developed that efficiently simulates solidification with dominant interface kinetic effects, simplifying asymptotic analysis and broadening practical use.

Findings

Model accurately captures interface kinetics effects.

Efficient computations over a wide range of parameters.

Simplified asymptotic analysis process.

Abstract

We present a new phase-field model of solidification which allows efficient computations in the regime when interface kinetic effects dominate over capillary effects. The asymptotic analysis required to relate the parameters in the phase-field with those of the original sharp interface model is straightforward, and the resultant phase-field model can be used for a wide range of material parameters.