Multi-phase-field lattice Boltzmann model for polycrystalline equiaxed solidification with motion

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

“…We have also enabled such simulations [99] as well as large-scale simulations with a large number of mobile equiaxed dendrites in 2D [100]. More recently, we enabled it in the frame of a multi-phasefield (MPF) model [101] using a double-obstacle potential [102,103]. This model can accurately express a series of solidification processes, from dendrite growth with motion to grain growth after vanishing of the liquid phase [101].…”

“…More recently, we enabled it in the frame of a multi-phasefield (MPF) model [101] using a double-obstacle potential [102,103]. This model can accurately express a series of solidification processes, from dendrite growth with motion to grain growth after vanishing of the liquid phase [101]. Figure 4 shows a simulation example for the growth of a large number of dendrites with solid motion followed by grain growth [101].…”

“…This model can accurately express a series of solidification processes, from dendrite growth with motion to grain growth after vanishing of the liquid phase [101]. Figure 4 shows a simulation example for the growth of a large number of dendrites with solid motion followed by grain growth [101]. This MPF-LB model can be applied to semi-solid deformations [101,104].…”

“…Figure 4 shows a simulation example for the growth of a large number of dendrites with solid motion followed by grain growth [101]. This MPF-LB model can be applied to semi-solid deformations [101,104]. Figure 5 shows a simulation example using the MPF-LB model [101] of the semi-solid shear deformation with a solid fraction fs of 0.78.…”