A quantitative multi-phase field model of polycrystalline alloy solidification

Phase-field based simulation of microstructure evolution in technical alloy grades

“…In contrast, the correct resolution of details of the microstructure requires a very fine meshing. Besides solving the coupled system of PDE's only at the interfaces using interface fields [26] especially adaptive grids providing a local remeshing at the interfaces have turned out to be beneficial [27][28][29]. In view of coupling with thermodynamic databases, a multibinary extrapolation scheme reduces the computational load as compared to regular calls to databases [30].…”

Simulating Interface Growth and Defect Generation in CZT – Simulation State of the Art and Known Gaps

“…Therefore, resolving both microscopic and macroscopic length/time scales in phase field simulations for typical experimental length and time scales is impractical, even with efficient algorithms. During past two decades, great progresses have been made in quantitative phase field simulations of microstructural evolution in solidification [154][155][156][157]. Atomistic simulations make it possible to provide accurate thermodynamic and kinetic properties such as interfacial energy of melt-crystal interface [158][159][160][161][162], crystalline anisotropies [163][164][165], interface kinetic properties [166][167][168][169], and crystal nucleation [170][171][172][173][174][175].…”

“…The availability of these properties is critical for quantitative modeling of solidification microstructures. Quantitative phase-field models [154][155][156] have been developed which can use large length and time scales without loss of interface physics. Melt convection is taken into account in phase-field models by coupling lattice Boltzmann method to efficiently solve the fluid flow [176][177][178].…”

A quantitative phase-field model combining with front-tracking method for polycrystalline solidification of alloys

“…To be capable of simulating distribution of either different phases or grains with different orientations, the so-called multi-phase field model has been proposed for solidification and solid-state grain growth [17][18][19][20][21][22][23]. Each grain or phase is defined with an order parameter / i to distinct from other grains or phases or both.…”