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 …

Melting and solidification of pure metals and alloys are important research areas due to their
practical applications, where the study of dynamic evolution of the interface offers a …

We report the results of an extensive phase-field study of the growth competition of columnar
dendritic grains in two dimensions. We investigate the influence of the temperature gradient …

Can completely homogeneous nucleation occur? Large scale molecular dynamics
simulations performed on a graphics-processing-unit rich supercomputer can shed light on …

Metal additive manufacturing (MAM) technology is now changing the pattern of the high-end
manufacturing industry, among which microstructure simulation gradually shows its …

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 review how phase-field models contributed to the understanding of various aspects of
crystal nucleation, including homogeneous and heterogeneous processes, and their role in …

In this study, a combination of the lattice Boltzmann method (LBM) and the phase-field
method (PFM) is used for modeling simultaneous growth and motion of a dendrite during …

We investigated the competitive growth of dendrites at the converging grain boundaries
(GBs) of bicrystals during the directional solidification of an Al–Cu alloy by means of two …

Grain growth, a competitive growth of crystal grains accompanied by curvature-driven
boundary migration, is one of the most fundamental phenomena in the context of metallurgy …