non-uniform mesh

A double population Lattice Boltzmann is used to solve the problem of the diffrentially heated cavity The use of a non-uniform grid makes it possible to validate the approach for laminar and transitional flows and (10³≤R_a≤10⁸). The results obtained, concerning the heat and mass transfers are in concordance with those of the literature. This comparison makes it possible to validate this type of approach for the prediction of anisothermal flows.