This is the first account of the history of modelling dendritic and cellular solidification. While
Part I reviewed the progress up to the year 2000 [Kurz W, Fisher DJ, Trivedi R. Progress in …

The primary spacing is intrinsically linked with the mechanical behavior of directionally
solidified materials. Because of this relationship, a significant amount of solidification work is …

The phase field approach is a powerful and popular method for modeling microstructure
evolution. In this work, advanced numerical tools are used to create a framework that …

The phase-field method has recently emerged as the most powerful computational tool for
simulating complicated dendrite growth. However, these simulations are still limited to two …

We present a novel phase-field model development capability in the open source MOOSE
finite element framework. This facility is based on the “modular free energy” approach in …

Primary arm arrays formed during the directional solidification of a single-crystal binary alloy
were investigated by performing large-scale phase-field simulations using the GPU …

Melt flow drastically changes dendrite morphology during the solidification of pure metals
and alloys. Numerical simulation of dendrite growth in the presence of the melt flow is crucial …

Thanks to the recent progress in high-performance computational environments, the range
of applications of computational metallurgy is expanding rapidly. In this paper, cutting-edge …

The effects of Mg back-diffusion on liquid channel segregation and morphology, and hence
on the solidification cracking susceptibility (SCS) of Al-4.0 wt% Mg alloy, were investigated …

Simulations of dendritic solidification involving melt convection and solid motion usually
require a considerably higher computational domain than the dendrite size, whose …