108 citations · 266 across the 5 of their papers we have counts for
4 papers · 1 filter
A mesoscale granular model for the mechanical behavior of alloys during solidification
Stéphane Vernède, Jonathan A. Dantzig, Michel Rappaz
We present a two-dimensional granular model for the mechanical behavior of an ensemble of globular grains, during solidification. The grain structure is produced by a Voronoi tesse…
Adaptive mesh computation of polycrystalline pattern formation using a renormalization-group reduction of the phase-field crystal model
Badrinarayan P. Athreya, Nigel Goldenfeld, Jonathan A. Dantzig +2
We implement an adaptive mesh algorithm for calculating the space and time dependence of the atomic density field during materials processing. Our numerical approach uses the syste…
On the role of confinement on solidification in pure materials and binary alloys
Badrinarayan P. Athreya, Jonathan A. Dantzig, Shan Liu +1
We use a phase-field model to study the effect of confinement on dendritic growth, in a pure material solidifying in an undercooled melt, and in the directional solidification of a…
Renormalization group approach to multiscale simulation of polycrystalline materials using the phase field crystal model
Nigel Goldenfeld, Badrinarayan P. Athreya, Jonathan A. Dantzig
We propose a computationally-efficient approach to multiscale simulation of polycrystalline materials, based on the phase field crystal (PFC) model. The order parameter describing…