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In this paper, a double multiple-relaxation-time lattice Boltzmann model isdeveloped for simulating transient solid-liquid phase change problems in porousmedia at the representative elementary volume scale. The model uses twodifferent multiple-relaxation-time lattice Boltzmann equations, one for theflow field and the other for the temperature field with nonlinear latent heatsource term. The model is based on the generalized non-Darcy formulation, andthe solid-liquid phase change interface is traced through the liquid fractionwhich is determined by the enthalpy method. The model is validated by numericalsimulations of conduction melting in a semi-infinite space, solidification in asemi-infinite corner, and convection melting in a square cavity filled withporous media. The numerical results demonstrate the efficiency and accuracy ofthe present model for simulating transient solid-liquid phase change problemsin porous media.

Double multiple-relaxation-time lattice Boltzmann model for solid-liquid phase change with natural convection in porous media