Abstract:
The implementation of the lattice Boltzmann method (LBM) for the solution of
the heat diffusion problem is presented. The two dimensional task is considered and the
different boundary conditions, specifically the Dirichlet and Neumann are taken into
account. The D2Q4 lattice model is applied. To check the accuracy of the LBM algorithm, the
same problems have been solved using the explicit variant of the finite difference method. In
the final part of the paper, the results of computations are shown and the conclusions are
formulated
