  In this paper, a multiple-relaxation-time (MRT) lattice Boltzmann (LB) model
is proposed for convection heat transfer in porous media under local thermal
non-equilibrium (LTNE) condition. The model is constructed within the framework
of the three-distribution-function approach: two temperature-based MRT-LB
equations are proposed for the temperature fields of fluid and solid phases in
addition to the MRT-LB equation of a density distribution function for the
velocity field described by the generalized non-Darcy model. The thermal
non-equilibrium effects are incorporated into the model by adding source terms
into the temperature-based MRT-LB equations. Moreover, the discrete lattice
effects are considered in the introduction of source terms into the
temperature-based MRT-LB equations. The source terms accounting for the thermal
non-equilibrium effects are simple and the model retains the inherent features
of the standard LB method. Numerical results demonstrate that the proposed
model can be served as an accurate and efficient numerical method for studying
convection heat transfer in porous media under LTNE condition.
