This is the first account of the history of our understanding of, and ability to model,
solidification microstructures. Its objective is to retrace the scientific steps made, from the …

The status of solidification science is critically evaluated and future directions of research in
this technologically important area are proposed. The most important advances in …

A simple phase field model for one component melt growth is presented, which includes
anisotropy in a certain form. The formation of various dendritic patterns can be shown by a …

We report the results of quantitative phase-field simulations of the dendritic crystallization of
a pure melt in two and three dimensions. These simulations exploit a recently developed …

A general approach to diffusion-limited crystal growth is proposed. It consists of a modified
(nonequilibrium) Cahn-Hilliard representation of the interface coupled to a diffusion …

This book gives a systematic overview on the scientific fundamentals of crystal growth from
the classical phenomenological description to the recent theoretical contributions of …

Pattern formation in the electrodeposition of Zn from a thin layer of ZnS O 4 solution was
studied as a function of electrolyte concentration and applied voltage. We found several …

We study dendritic microstructure evolution using an adaptive grid, finite element method
applied to a phase-field model. The computational complexity of our algorithm, per unit time …

The prediction of the equilibrium and metastable phase/grain morphologies during selective
laser melting (SLM) of Ni-base superalloys can be accomplished using phase-field …

We impose anisotropy in modified Hele-Shaw experiments by engraving a grid on one of the
plates. Without anisotropy, the dynamics is dominated by tip bifurcations leading to a …