A double distribution lattice Boltzmann scheme for unsteady Conjugate Heat Transfer: The DD-CHT LB method

International audienceIn this paper, we propose an innovative formulation of the ‘‘well-known” thermal lattice Boltzmannmethod for solving transient conduction heat transfer problems in heterogeneous media: the DD-CHTLB method for Double Distribution – Conjugate Heat Transfer. The main idea of this new formulationis to bring out a second distribution function that represent the effect of thermal inertia and its variationin a heterogeneous media. By adopting this original formulation we achieved several goals, mainly conservationof local properties of the studied media and ensuring the stability of the proposed formulationby avoiding any alteration of the ‘‘well-known” TLBM collision step. Validation of the formulation is fulfilledthrough three different benchmark conduction heat transfer problems in heterogeneous media. Allresults are compared with those obtained by the Control Volume Method (CVM) and excellent agreementswere found