Phase-field method is a density-based computational method at the mesoscale for modeling
and predicting the temporal microstructure and property evolution during materials …

The microstructure of metals depends on the additive manufacturing (AM) process and the
process parameters. However, experimentation on different process parameters for different …

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

Deep eutectic solvents (DESs) are one of the most rapidly evolving types of solvents,
appearing in a broad range of applications, such as nanotechnology, electrochemistry …

The phase-field method has become an important and extremely versatile technique for
simulating microstructure evolution at the mesoscale. Thanks to the diffuse-interface …

How to develop efficient numerical schemes while preserving energy stability at the discrete
level is challenging for the three-component Cahn–Hilliard phase-field model. In this paper …

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 …

This book aims to introduce students and scientists to the programming of the phase-field
method. The codes provided in the book will serve as a foundation and template for …

In this paper, we describe the derivation of a model for the simulation of phase
transformations in multicomponent real alloys starting from a grand-potential functional. We …

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 …