We briefly review the state-of-the-art in phase-field modeling of microstructure evolution. The
focus is placed on recent applications of phase-field simulations of solid-state microstructure …

We review how phase-field models contributed to the understanding of various aspects of
crystal nucleation, including homogeneous and heterogeneous processes, and their role in …

The effect of separator pore size on lithium dendrite growth is assessed through the use of
the phase field method (PFM). Dendrites are found to undergo concurrent electrodeposition …

Enhanced oil recovery (EOR) plays a significant role in improving oil production. Tertiary
EOR, including surfactant flooding, can potentially mobilize residual oil after water flooding …

We study microstructure selection during directional solidification of a thin metallic sample.
We combine in situ X-ray radiography of a dilute Al-Cu alloy solidification experiments with …

We present the results of a comprehensive phase-field study of columnar grain growth
competition in bi-crystalline samples in two dimensions (2D) and in three dimensions (3D) …

A review surveying the developments in the application of the phase-field method in the
study of phase transitions and microstructure evolution in multi-component systems is …

Advances in the orientation-field-based phase-field (PF) models made in the past are
reviewed. The models applied incorporate homogeneous and heterogeneous nucleation of …

Coarsening of the nickel phase is known to occur in solid oxide fuel cell (SOFC) anodes
consisting of Ni and yttria-stabilized zirconia (YSZ). However, the exact nature of the …

In this paper, we describe an approach for solving partial differential equations with general
boundary conditions imposed on arbitrarily shaped boundaries. A continuous function, the …