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 …

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 …

This comprehensive and self-contained, one-stop source discusses phase-field
methodology in a fundamental way, explaining advanced numerical techniques for solving …

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 …

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 …

In nature, microorganisms must often cope with hostile environmental conditions. To do so
they have developed sophisticated cooperative behaviour and intricate communication …

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

We investigate dendritic sidebranching during crystal growth in an undercooled melt by
simulation of a phase-field model which incorporates thermal noise of microscopic origin. As …

Many inhomogeneous systems involve domains of well-de? ned phases se-rated by a
distinct interface. If they are driven out of equilibrium one phase will grow at the cost of the …

Convective effects on free dendritic crystal growth into a supercooled melt in two dimensions
are investigated using the phase-field method. The phase-field model incorporates both melt …