We review some of the recent advances in level-set methods and their applications. In
particular, we discuss how to impose boundary conditions at irregular domains and free …

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 …

▪ Abstract The phase-field method has recently emerged as a powerful computational
approach to modeling and predicting mesoscale morphological and microstructure evolution …

Porous polymer and copolymer membranes are useful for ultrafiltration of functional
macromolecules, colloids, and water purification. In particular, block copolymer membranes …

A nonlinear phase-field model, accounting for the Butler–Volmer electrochemical reaction
kinetics, is developed to investigate the dendritic patterns during an electrodeposition …

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

A continuum field theory approach is presented for modeling elastic and plastic deformation,
free surfaces, and multiple crystal orientations in nonequilibrium processing phenomena …

We present a detailed derivation and thin interface analysis of a phase-field model that can
accurately simulate microstructural pattern formation for low-speed directional solidification …

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 …