The phase-field method is reviewed against its historical and theoretical background.
Starting from Van der Waals considerations on the structure of interfaces in materials the …

▪ Abstract An overview of the phase-field method for modeling solidification is presented,
together with several example results. Using a phase-field variable and a corresponding …

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

Rapid advances in atomistic and phase-field modeling techniques as well as new
experiments have led to major progress in solidification science during the first years of this …

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 …

In the literature, two quite different phase-field formulations for the problem of alloy
solidification can be found. In the first, the material in the diffuse interfaces is assumed to be …

Polymeric porous media (PPM) are widely used as advanced materials, such as sound
dampening foams, lithium‐ion batteries, stretchable sensors, and biofilters. The functionality …

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 …

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 …