3 papers
math.AP2026
DeepRitzSplit Neural Operator for Phase-Field Models via Energy Splitting
Chih-Kang Huang, Ludovick Gagnon, Miha Založnik +1
The multi-scale and non-linear nature of phase-field models of solidification requires fine spatial and temporal discretization, leading to long computation times. This could be ov…
math.NA2023
Meshless interface tracking for the simulation of dendrite envelope growth
Mitja Jančič, Miha Založnik, Gregor Kosec
The growth of dendritic grains during solidification is often modelled using the Grain Envelope Model (GEM), in which the envelope of the dendrite is an interface tracked by the Ph…
physics.comp-ph2020
Comparing mesoscopic models for dendritic growth
Damien Tourret, Laszlo Sturz, Alexandre Viardin +1
We present a quantitative benchmark of multiscale models for dendritic growth simulations. We focus on approaches based on phase-field, dendritic needle network, and grain envelope…