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A single-relaxation-time (SRT) and a multiple-relaxation-time (MRT) thermal lattice Boltzmann models are developed for axisymmetric solid–liquid phase change. The axisymmetric enthalpy conservation equation can be recovered from these two models. Both the SRT and MRT models are verified by the finite volume method (FVM). Compared with the SRT model, the MRT one is superior on the numerical stability...
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