Finite-Difference Lattice-BGK methods on nested grids

From a computational point of view non uniform grids can be efficient for computing fluid flows because the grid resolution can be adapted to the spatial complexity of the flow problem. In this contribution an extension of the Finite-Difference Lattice-BGK method on nested grids is presented. This approach is based on multiple nested lattices with increasing resolution. Basically, the discrete velocity Boltzmann equation is solved numerically on each sub-lattice and interpolation between the interfaces is carried out in order to couple the sub-grids consistently. Preliminary results of the method applied on the Taylor vortex benchmark are presented.