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

Takaki, Tomohiro; Sakane, Shinji; Aoki, Takayuki

doi:10.2355/isijinternational.isijint-2022-146

Cited by 6 publications

(7 citation statements)

References 48 publications

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“…The quantitative PF models of isothermal [58] and non-isothermal [59] solidification in a binary alloy were used for Cases B and D, respectively, where the PF variable  and dimensionless supersaturation u were numerically solved in Case B, and the variables , u, and dimensionless undercooling  were numerically solved in Case C. The PF-LB model, where the quantitative PF model of isothermal solidification [58] and the LB model with two relaxation times [60,61] were coupled and used for Cases A and C, is described in references [57,61]. In Cases A and C, the liquid flow field U was solved using the LB method, in addition to  and u. Nonlinear preconditioning was employed in all cases [62].…”

Section: Phase Field-lattice Boltzmann (Pf-lb) Modelmentioning

confidence: 99%

“…In Cases A and C, the gravitational acceleration vectors were set as g = (0, 0, − g 0 ) and (0, 0, g 0 ) with g 0 = 9.81 m/s 2 , respectively. The computational conditions for Cases A-C were the same as those in [57] except for the computational domain size and time.…”

Section: Simulation Conditionsmentioning

confidence: 99%

“…Each block contained 16 3 , 16 3 , 8 3 , and 4 3 grids to solve for , u, U, and , respectively. The number of grids assigned to each block is different from that of the conventional block structure AMR owing to the introduction of the mother-leaf method [54,55,57]. AMR operation, refinement, and coarsening of the blocks were conducted every 104 steps.…”

Section: Simulation Conditionsmentioning

confidence: 99%

“…In our previous study, we performed large-scale simulations of 3D columnar dendrite growth with natural convection by applying PF-LB parallel-GPU AMR [57]. Although the 3D simulations were conducted on thin samples, these were the first 3D PF simulations that considered natural convection.…”

Section: Introductionmentioning

confidence: 99%

“…However, dendrite fragmentation was not observed in these simulations. In this study, simulations similar to those in [57] were conducted for a longer time to investigate the effect of natural convection on dendrite morphology and fragmentation. Moreover, we introduced the motherleaf method for block-structured AMR to further accelerate the PF-LB parallel-GPU AMR simulation.…”

Section: Introductionmentioning

confidence: 99%

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High-performance GPU computing of phase-field lattice Boltzmann simulations for dendrite growth with natural convection

Takaki

Sakane

Suzuki

2023

IOP Conf. Ser.: Mater. Sci. Eng.

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The effect of natural convection on dendrite morphology is investigated through three-dimensional large-scale phase-field lattice Boltzmann simulations using a block-structured adaptive mesh refinement scheme with the mother-leaf method in a parallel-GPU environment. The simulations confirmed that downward buoyancy enhances the growth of the primary and secondary arms, and upward buoyancy delays the growth of those arms. In addition, the effect of natural convection on the solidification morphologies gradually decreased as the primary arm tip reached the top of the computational domain and finally stopped. Furthermore, in the longer simulation under purely isothermal diffusive conditions, detachment of the secondary arms owing to curvature-driven fragmentation was observed. A large-scale non-isothermal dendrite growth simulation was also conducted, wherein it was observed that the tip growth rate of the primary arm was delayed, and the secondary arm spacing was larger than that in the isothermal condition.

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