GPU phase-field lattice Boltzmann simulations of growth and motion of a binary alloy dendrite

Takaki, Tomohiro; Rojas, Roberto; Ohno, Munekazu; Shimokawabe, Takashi; Aoki, Takayuki

doi:10.1088/1757-899x/84/1/012066

Cited by 45 publications

(31 citation statements)

References 33 publications

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“…[9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28] While the majority of the earlier studies refer to solidification of static particles in fluid flow, the motion of growing solid particles in the melt was addressed by more recent investigations. Solutions for the latter problem were presented by Do-Quang and Amberg, 21 Steinbach,22,23 Qi et al, 25 and Takaki and coworkers, 24,26,27 who coupled the phase-field approach to the Navier-Stokes equations 21,25 or to lattice Boltzmann hydrodynamics. [22][23][24]26,27 To describe a single dendritic particle that descends in a viscous fluid in two dimensions, Do-Quang and Amberg used a semi-sharp phase-field model combined with the distributed Lagrangian method to realize rigid body motion of the solid domain.…”

Section: Introductionmentioning

confidence: 99%

Phase-field lattice Boltzmann model for dendrites growing and moving in melt flow

2019

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The phase-field and lattice Boltzmann methods have been combined to simulate the growth of solid particles moving in melt flow. To handle mobile particles, an overlapping multigrid scheme was developed, in which each individual particle has its own moving grid, with local fields attached to it. Using this approach we were able to simulate simultaneous binary solidification, solute diffusion, melt flow, solid motion, the effect of gravity, and collision of the particles. The method has been applied for describing two possible modes of columnar to equiaxed transition in the Al-Ti system.npj Computational Materials (2019) 5:113 ; https://doi.

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Section: Introductionmentioning

confidence: 99%

Phase-field lattice Boltzmann model for dendrites growing and moving in melt flow

2019

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“…The successful work of Kobayashi to simulate the complicated and beautiful dendrite growth during solidification opened the phase-field study area (Kobayashi, 1993;Kobayashi, 1994). Since then, in the solidification field (Asta et al, 2009;Steinbach, 2009;Takaki, 2014), the phase-field model has been applied to binary alloys (Warren and Boettinger, 1995;Wheeler et al, 1992), polycrystals (Miyoshi and Takaki, 2016;Steinbach and Pezzolla, 1999), quantitative models (Karma and Rappel, 1996;Ohno and Matsuura, 2009), multi-component alloys (Ohno et al, 2012), coupled models with convection (Beckermann et al, 1999;Rojas et al, 2015;Takaki et al, 2015b), and large-scale computations (Sakane et al, 2015;Shibuta et al, 2015;Takaki et al, 2014;Takaki et al, 2013;Yamanaka et al, 2011). The great success of the phase-field method in material science is due to the advantages of the phase-field method: tracking the interface position is not necessary, the curvature effects are included in the model, the evolution equations can be derived from the free-energy functional based on the second law of thermodynamics, the discretization of the time evolution equations is easy, and so on.…”

Section: Introductionmentioning

confidence: 99%

Phase-field topology optimization model that removes the curvature effects

Takaki

Kato

2017

Mechanical Engineering Journal

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The conventional phase-field topology optimization (PFTO) models minimize not only the objective function but also the interface energy. In the present study, a new PFTO model, which minimizes only the objective function, is developed by removing the curvature effect from the conventional PFTO model. Simulations of elastic strain energy minimization under a constant-volume constraint condition of a cantilever are performed using the developed and conventional PFTO models. From the simulation results, we confirm that the developed PFTO model that removes the curvature effects can efficiently optimize only the objective function.

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“…Computation using a graphical processing unit (GPU) is a promising approach in the field of computational materials science. 13,30,[32][33][34][35] Parallelization of multiple GPUs has accelerated large-scale phase-field simulations. 11,12,[14][15][16][36][37][38] In this study, we perform large-scale phase-field simulations to investigate 3D unusual overgrowth at the converging GB during directional solidification of a bicrystal binary alloy.…”

Section: Introductionmentioning

confidence: 99%

Large-scale Phase-field Studies of Three-dimensional Dendrite Competitive Growth at the Converging Grain Boundary during Directional Solidification of a Bicrystal Binary Alloy

et al. 2016

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Large-scale phase-field studies of three-dimensional (3D) dendrite competitive growth at the converging grain boundary (GB) of a bicrystal binary alloy were carried out using the GPU-rich supercomputer TSUBAME 2.5 at Tokyo Institute of Technology. First, a series of thin-sample simulations were performed to investigate the effects of thin-sample thickness, unfavorably oriented (UO) grain inclination angle, and dendrite arrangement on an unusual overgrowth phenomenon whereby the favorably oriented (FO) grain is overgrown by the UO grain. It was concluded that the unusual overgrowth easily occurs as the thickness of the thin sample and the UO grain inclination angle decrease. It was also concluded that the interaction between FO and UO dendrites at the converging GB depends on the dendrite arrangement for relatively large dendrite spacing. Next, realistic large-scale simulations whereby multiple dendrites interact at the converging GB were performed. Unusual overgrowth was also observed in such large-scale simulations, and this phenomenon easily occurred at smaller UO dendrite inclination angles. Furthermore, it was also concluded that the FO and UO dendrites rearrange toward a space-to-face interaction. Because the interaction between FO and UO dendrites differs according to the location on the GB, a zigzag GB was formed, especially at small UO grain inclination angles.

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GPU phase-field lattice Boltzmann simulations of growth and motion of a binary alloy dendrite

Cited by 45 publications

References 33 publications

Phase-field lattice Boltzmann model for dendrites growing and moving in melt flow

Phase-field lattice Boltzmann model for dendrites growing and moving in melt flow

Phase-field topology optimization model that removes the curvature effects

Large-scale Phase-field Studies of Three-dimensional Dendrite Competitive Growth at the Converging Grain Boundary during Directional Solidification of a Bicrystal Binary Alloy

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