A novel Hybrid lattice Boltzmann technique with TVD characteristics: a new benchmark on heat transfer of natural convection of air

In the present study, a novel FD_LBM hybrid numerical method with TVD characteristics is proposed to solve the famous problems of naturalconvections in a closed cavity. In order to enhance the stability and performance of the finite difference scheme for higher Ra numbers, tworenowned Superbee and Minmod flux limiter functions were used. The results for heat transfer and entropy generation features for a wide range ofRayleigh ۳ ۸ ۱۰ Ra ۱۰ are presented. In addition for comparison purposes two MRT and SRT codes presented in the open literature [۱] were applied inthe same case definitions. Not only had the tests revealed an excellent agreement between the TVD method results and the published data, but they alsoproved that this new technique is numerically much more efficient than the SRT and MRT codes, and hence one can assume the present method as afantastic tool in numerical solution of laminar convection problems

Keywords:

FD_LBM hybrid scheme , Total Variation Diminishing Schemes , Entropy generation rates