Phase-field-lattice Boltzmann method for dendritic growth with melt flow and thermosolutal convection–diffusion

We propose a new phase-field model formulated within the system of lattice Boltzmann (LB) equation for simulating solidification and dendritic growth with fully coupled melt flow thermosolutal convection–diffusion. With evolution phase field transport phenomena all modeled integrated same LB framework, this method preserves combines intrinsic advantages (PFM) (LBM). Particularly, present PFM/LBM has several improved features compared to existing models including: (1) novel multiple-relaxation-time (MRT) scheme is proposed effectively convection–diffusion numerical stability accuracy, (2) convenient diffuse interface treatments are implemented which can be applied entire domain without tracking interface, (3) field, flow, concentration, temperature fields on level microscopic distribution functions in schemes decoupled multiple-time-scaling strategy (despite their full physical coupling), thus at high Lewis numbers (ratios liquid thermal solutal diffusivities) conveniently modeled. The applicability accuracy verified four tests including isothermal, iso-solutal problems, where excellent agreement terms distributions tip velocity radius those reported literature demonstrated. an attractive powerful tool large-scale simulations given scalability LBM.