The formation of lithium dendrites induces the notorious safety issue and poor cycling life of
energy storage devices, such as lithium–sulfur and lithium–air batteries. We propose a …

Accurately predicting the behaviour of multiphase flows is a problem of immense industrial
and scientific interest. Modern computers can now study the dynamics in great detail and …

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 …

▪ Abstract We review the development of diffuse-interface models of hydrodynamics and
their application to a wide variety of interfacial phenomena. These models have been …

Direct numerical simulations of multiphase flows, using a front-tracking method, are
presented. The method is based on writing one set of governing equations for the whole …

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 …

We present a phase-field model (PFM) for solidification in binary alloys, which is found from
the phase-field model for a pure material by direct comparison of the variables for a pure …

▪ Abstract We provide an overview of level set methods, introduced by Osher and Sethian,
for computing the solution to fluid-interface problems. These are computational techniques …