Fast simulations of a large number of crystals growth in centimeter-scale during alloy solidification via nonlinearly preconditioned quantitative phase-field formula

Revisiting dynamics and models of microsegregation during polycrystalline solidification of binary alloy

“…The numerical accuracy and efficiency of the preconditioned PF formula has been examined carefully [38]. The detailed numerical and material parameters can be referred to our previous study [39], but C0 is set to be 1 wt.% to result in a larger capillary length.…”

“…The parallel adaptive finite element method, with multiple processors using distributed memory based on the MPI protocol, is employed to solve the nonlinearly preconditioned PF model. Numerical implementations are realized by the open source deal.II library [40], and the adaptive mesh refinement/coarsening is achieved through a simple but efficient approach [38]. The front-tracking method [38] is used to capture crystallographic orientations to improve the computing efficiency dramatically.…”

“…Numerical implementations are realized by the open source deal.II library [40], and the adaptive mesh refinement/coarsening is achieved through a simple but efficient approach [38]. The front-tracking method [38] is used to capture crystallographic orientations to improve the computing efficiency dramatically. The computational domain size is 5 × 5 mm 2 and 1 × 1 × 1 mm 3 , respectively in 2D and 3D simulations.…”

Three-Dimensional Modeling of Segregation Behavior during Solidification of a Sn-6 wt.% Pb Alloy

“…Therefore, developing a 3D solidification model and the corresponding in-house codes to study the formation of macrosegregation in 3D cavities is necessary [23,24]. Furthermore, the developed model for macrosegregation simulation can be integrated with the cellular automation model [25] or phase field model [26] to predict microstructure formation, which is not common in the literature.…”

Equiaxed dendritic growth in nearly isothermal conditions: A study combining in situ and real-time experiment with large-scale phase-field simulation

“…In the last few years, the quantitative large-scale PF simulations have been achieved [24][25][26], due to the rapid development of numerical methods and computer hardware. In this paper, the large-scale quantitative 2D PF simulations are carried out using the fast simulation schemes proposed in our previous study [25], to reproduce the in situ and real-time observed polycrystalline solidification experiments of Al-4 wt.% Cu alloys under the continuous cooling condition.…”