RT Journal Article ID 3cbd3d7f68d44b20 A1 Alemani, Davide A1 Chopard, Bastien A1 Albuquerque, Paul A1 Leone, Pierre T1 A Hybrid Lattice Boltzmann Finite Difference Scheme for the Diffusion Equation JF International Journal for Multiscale Computational Engineering JO JMC YR 2006 FD 2006-08-22 VO 4 IS 2 SP 209 OP 219 AB We show how a lattice Boltzmann (LB) can be spatially coupled with a finite difference (FD) scheme, each method running on a separate region, to solve a given problem. The typical situation we consider is a computational domain that is partitioned into two regions. The same spatiotemporal physical process extends over the full domain, but a different numerical method is used over each region. At the interface of the subdomains, the LB and FD must be connected so as to ensure a perfect continuity of the physical quantities. We derive the theoretical concepts, which allow us to link both methods in the case of a diffusion process, and validate them with numerical simulations on a two-dimensional domain. We also consider the case of different size grids for which the coupling has to be complemented with an interpolation procedure. PB Begell House LK https://www.dl.begellhouse.com/journals/61fd1b191cf7e96f,329fc71d60f835ec,3cbd3d7f68d44b20.html