Journal
COMPUTATIONAL MATERIALS SCIENCE
Volume 186, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.commatsci.2020.110070
Keywords
Phase-field method; Lattice Boltzmann method; Solidification; Convection; Dendrite
Categories
Funding
- KAKENHI [20H00217]
- Japan Society for the Promotion of Science
- Grants-in-Aid for Scientific Research [20H00217] Funding Source: KAKEN
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By introducing the two-relaxation-time and interpolated bounce-back models, a highly efficient acceleration method for PF-LB simulations was developed in this study, which can be used for simulating the solidification of alloys.
To perform accurate, stable, and efficient phase-field lattice Boltzmann (PF-LB) simulations of the solidification of alloys with melt convection, a two-relaxation-time (TRT) model for calculating the collision term in the LB equation and an interpolated bounce-back (IBB) model for imposing a non-slip condition at a solid-liquid interface-(TRT-IBB model)-were introduced. The simulations of the plane Poiseuille flow and the dendrite growth of a binary alloy with forced convection were performed to confirm the computational accuracy and acceleration of PF-LB simulations upon introducing the TRT-IBB model. For dendrite growth with forced convection, the simulations of the TRT-IBB model were in good agreement with those of the conventional single relaxation-time (SRT) model and the dissipative drag force (DDF) model for imposing the non-slip condition at the diffuse interface (SRT-DDF model). In addition, this study confirmed that the TRT-IBB model enabled stable simulations with similar to 500-times larger time increment than the SRT-DDF model. Thus, the developed TRTIBB model was found to be extremely effective in the acceleration of PF-LB simulations for the solidification of alloys with melt convection.
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