In this letter, a double multiple relaxation time (MRT) lattice Boltzmann method (LBM) based on double distribution lattice Boltzmann model is developed for numerical simulations of solid-liquid phase change. In contrast to previous lattice Boltzmann models, we solve the flow and temperature fields using the MRT-D2Q9 model and the MRT-D2Q5 model, respectively. The one-dimensional conduction melting and two-dimensional convection melting in a rectangular cavity for pure substance are investigated using the proposed model. Simulation results agree well with analytical solutions and scaling laws. In addition, temperature and liquid fraction fields suggest that natural convection has important influence on total melting process. We conclude by showing that the developed model is a promising tool to investigate solid-liquid phase change in complex media and geometries.

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