Phase-field study on an array of tilted columnar dendrites during the directional solidification of a binary alloy

Natural Convection on Dendrite Morphology: A High–performance Phase–field Lattice Boltzmann Study

“…24,25) Graphics processing unit (GPU) computing is suitable for PF simulations. [26][27][28] We developed parallel computing schemes using multiple GPUs of dendrite growth PF simulations in purely diffusive conditions, [29][30][31][32] with liquid flow 33,34) and solid motion 35,36) by coupling the PF and lattice Boltzmann (PF-LB) method. 37,38) To enable dendrite growth PF simulations in a much larger domain, we developed parallel computing in multiple GPUs with dynamic load balancing for the block-structured AMR scheme (parallel-GPU AMR) for purely diffusive growth 39) and growth with liquid flow and solid motion.…”

Large-scale phase-field simulations for dendrite growth: A review on current status and future perspective

“…Thus, it was concluded that competitive growth following the WC model commonly occurs during the polycrystalline solidification [59,60]. In the simulations shown in figures 1(c) and (d) [61,62], we investigated an array of primary arms in a single crystal [63], which is important for microsegregation and permeability. It was concluded that the hexagonal array is dominant for columnar dendrites/cells, including dendrites growing in the temperature gradient direction [61] and those with reasonably tilted angles [62].…”

“…In the simulations shown in figures 1(c) and (d) [61,62], we investigated an array of primary arms in a single crystal [63], which is important for microsegregation and permeability. It was concluded that the hexagonal array is dominant for columnar dendrites/cells, including dendrites growing in the temperature gradient direction [61] and those with reasonably tilted angles [62]. ´ 1536 grid points) [64], (b) polycrystal (1,024 3 + 512 2 × 256 grid points) [58], and (c)(d) single crystal (1,536 2 × 512 + 768 2 × 256 grid points) [62] computed by large-scale PF simulations using a GPU supercomputer.…”

“…It was concluded that the hexagonal array is dominant for columnar dendrites/cells, including dendrites growing in the temperature gradient direction [61] and those with reasonably tilted angles [62]. ´ 1536 grid points) [64], (b) polycrystal (1,024 3 + 512 2 × 256 grid points) [58], and (c)(d) single crystal (1,536 2 × 512 + 768 2 × 256 grid points) [62] computed by large-scale PF simulations using a GPU supercomputer. The grid size Dx was set to Dx = 0.75 µm.…”

“…Figure 1. Columnar dendrite morphologies of an Al-3wt%Cu alloy for a (a) bi-crystal (768 × 1,536´ 1536 grid points)[64], (b) polycrystal (1,024 3 + 512 2 × 256 grid points)[58], and (c)(d) single crystal (1,536 2 × 512 + 768 2 × 256 grid points)[62] computed by large-scale PF simulations using a GPU…”