  The formation of microstructures in metallic alloys during hot metal forming
involves simultaneous metallurgical complex phenomena. Traditional
high-fidelity numerical frameworks used on the polycrystalline scale tend to
focus on single-phase microstructures or isolate phase transformations from
grain boundary migration mechanisms. The level-set method is highlighted as
effective in proposing a global framework for modeling multiphase
polycrystalline materials and diffusive solid-state phase transformations. This
framework includes novel techniques for efficient large-scale microstructural
representation, strong coupling with ThermoCalc software for real-time
thermodynamic data, application for ternary alloys and beyond by taking solute
drag aspects, and the use of advanced nucleation models. Numerous applications
are then illustrated.
