Large–scale phase–field lattice Boltzmann study on the effects of natural convection on dendrite morphology formed during directional solidification of a binary alloy

2020 ◽  
Vol 171 ◽  
pp. 109209 ◽  
Author(s):  
Tomohiro Takaki ◽  
Shinji Sakane ◽  
Munekazu Ohno ◽  
Yasushi Shibuta ◽  
Takayuki Aoki
Keyword(s):  
Natural Convection ◽  
Directional Solidification ◽  
Binary Alloy ◽  
Phase Field ◽  
Lattice Boltzmann ◽  
Large Scale ◽  
Dendrite Morphology

scholarly journals Competitive grain growth during directional solidification of a polycrystalline binary alloy: Three-dimensional large-scale phase-field study

Materialia ◽  
2018 ◽  
Vol 1 ◽  
pp. 104-113 ◽  
Author(s):  
Tomohiro Takaki ◽  
Shinji Sakane ◽  
Munekazu Ohno ◽  
Yasushi Shibuta ◽  
Takayuki Aoki ◽  
...  
Keyword(s):  
Field Study ◽  
Directional Solidification ◽  
Grain Growth ◽  
Binary Alloy ◽  
Phase Field ◽  
Large Scale ◽  
Three Dimensional

scholarly journals Primary arm array during directional solidification of a single-crystal binary alloy: Large-scale phase-field study

2016 ◽  
Vol 118 ◽  
pp. 230-243 ◽  
Author(s):  
Tomohiro Takaki ◽  
Shinji Sakane ◽  
Munekazu Ohno ◽  
Yasushi Shibuta ◽  
Takashi Shimokawabe ◽  
...  
Keyword(s):  
Single Crystal ◽  
Field Study ◽  
Directional Solidification ◽  
Binary Alloy ◽  
Phase Field ◽  
Large Scale

scholarly journals A Multiple-Grid Lattice Boltzmann Method for Natural Convection under Low and High Prandtl Numbers

Fluids ◽  
2021 ◽  
Vol 6 (4) ◽  
pp. 148
Author(s):  
Seyed Amin Nabavizadeh ◽  
Himel Barua ◽  
Mohsen Eshraghi ◽  
Sergio D. Felicelli
Keyword(s):  
Natural Convection ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Large Scale ◽  
Bgk Model ◽  
Flow Equations ◽  
Wide Range ◽  
Prandtl Numbers ◽  
Boltzmann Method ◽  
Benchmark Solutions

A multi-distribution lattice Boltzmann Bhatnagar–Gross–Krook (BGK) model with a multiple-grid lattice Boltzmann (MGLB) model is proposed to efficiently simulate natural convection over a wide range of Prandtl numbers. In this method, different grid sizes and time steps for heat transfer and fluid flow equations are chosen. The model is validated against natural convection in a square cavity, since extensive benchmark solutions are available for that problem. The proposed method can resolve the computational difficulty in simulating problems with very different time scales, in particular, when using extremely low or high Prandtl numbers. The technique can also enhance computational speed and stability while keeping the simplicity of the BGK method. Compared with the conventional lattice Boltzmann method, the simulation time can be reduced up to one-tenth of the time while maintaining the accuracy in an acceptable range. The proposed model can be extended to other lattice Boltzmann collision models and three-dimensional cases, making it a great candidate for large-scale simulations.

scholarly journals Phase-field simulation of competitive growth of grains in a binary alloy during directional solidification

China Foundry ◽  
2018 ◽  
Vol 15 (5) ◽  
pp. 333-342 ◽  
Author(s):  
Li Feng ◽  
Ya-long Gao ◽  
Ni-ni Lu ◽  
Chang-sheng Zhu ◽  
Guo-sheng An ◽  
...  
Keyword(s):  
Directional Solidification ◽  
Binary Alloy ◽  
Phase Field ◽  
Competitive Growth ◽  
Phase Field Simulation ◽  
Field Simulation

Study on Microstructural Evolution of Binary Alloy Crystal Growth in Directional Solidification Process

2013 ◽  
Vol 470 ◽  
pp. 100-103
Author(s):  
Dong Sheng Chen ◽  
Ming Chen ◽  
Rui Chang Wang
Keyword(s):  
Crystal Growth ◽  
Directional Solidification ◽  
Binary Alloy ◽  
Phase Field ◽  
Field Model ◽  
Phase Field Model ◽  
Field Method ◽  
Phase Field Method ◽  
Pure Substance ◽  
Columnar Dendrite

PFM (phase field method) was employed to study microstructure evolution, and considering the effect of solute concentration to the undercooling, we developed a phase field model for binary alloy on the basis of pure substance model. In the paper, the temperature field and solute field were coupled together in the phase field model to calculate the crystal growth of magnesium alloy in directional solidification. The simulation results showed a non-planar crystal growth of planar to cellular to columnar dendrite, the comparison of different dendrite patterns were carried out in the numerical simulation, and with the increasing of the anisotropy, the second dendrite arms became more developed.

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