  In this paper, a two-dimensional (2D) multiple-relaxation-time (MRT) lattice
Boltzmann (LB) model is developed for simulating convection heat transfer in
porous media at the representative elementary volume scale. In the model, a
MRT-LB equation is used to simulate the flow field, while another MRT-LB
equation is employed to simulate the temperature field. The effect of the
porous media is considered by introducing the porosity into the equilibrium
moments, and adding a forcing term to the MRT-LB equation of the flow field in
the moment space. The present MRT-LB model is validated by numerical
simulations of several 2D convection problems in porous media. The numerical
results are in good agreement with the well-documented data reported in the
literature.
