  A three-dimensional (3 D) multiple-relaxation-time (MRT) and a 3 D
single-relaxation-time (SRT) lattice Boltzmann (LB) models are proposed for the
solid-liquid phase change. The enthalpy conservation equation can be recovered
from the present models. The reasonable relationship of the relaxation times in
the MRT model is discussed. Both One-dimensional (1 D) melting and
solidification with analytical solutions are respectively calculated by the SRT
and MRT models for validation. Compared with the SRT model, the MRT one is more
accurate to capture the phase interface. The MRT model is also verified with
other published two-dimensional (2 D) numerical results. The validations
suggest that the present MRT approach is qualified to simulate the 3 D
solid-liquid phase change process. Furthermore, the influences of Rayleigh
number and Prandtl number on the 3 D melting are investigated.

Computational Physics